À propos de cet article

Citez

W.M. Moslem, S. Ali, P.K. Shukla and X.Y. Tang, Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability, Physics of Plasmas, 14 (2007), 082308. MoslemW.M. AliS. ShuklaP.K. TangX.Y. Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability Physics of Plasmas 14 2007 082308 10.1063/1.2757612 Search in Google Scholar

H. Zhen, B. Tian, Y. Wang, H. Zhong and W. Sun, Dynamic behavior of the quantum Zakharov-Kuznetsov equations in dense quantum magnetoplasmas, Physics of Plasmas, 21 (2014), 012304. ZhenH. TianB. WangY. ZhongH. SunW. Dynamic behavior of the quantum Zakharov-Kuznetsov equations in dense quantum magnetoplasmas Physics of Plasmas 21 2014 012304 10.1063/1.4856735 Search in Google Scholar

X.J. Yang, F. Gao and H.M. Srivastava, Exact Travelling Wave solutions for the Local Fractional Two-Dimensional Burgers-Type Equations, Computers and Mathematics with Applications, 73(2) (2017), 203–210. YangX.J. GaoF. SrivastavaH.M. Exact Travelling Wave solutions for the Local Fractional Two-Dimensional Burgers-Type Equations Computers and Mathematics with Applications 73 2 2017 203 210 10.1016/j.camwa.2016.11.012 Search in Google Scholar

C.T. Sindi and J. Manafian, Soliton Solutions of the Quantum Zakharov-Kuznetsov Equation Which Arises in Quantum Magneto-Plasmas, Eur. Phys. J. Plus, 132(67) (2017), DOI 10.1140/epjp/i2017-11354-7. SindiC.T. ManafianJ. Soliton Solutions of the Quantum Zakharov-Kuznetsov Equation Which Arises in Quantum Magneto-Plasmas Eur. Phys. J. Plus 132 67 2017 10.1140/epjp/i2017-11354-7 Open DOISearch in Google Scholar

C. Bai, C. Bai and H. Zhao, A New Generalized Algebraic Method and its Application in Nonlinear Evolution Equations with Variable Coefficients, Z. Naturforsch, 60a (2005), 211–220. BaiC. BaiC. ZhaoH. A New Generalized Algebraic Method and its Application in Nonlinear Evolution Equations with Variable Coefficients Z. Naturforsch 60a 2005 211 220 10.1515/zna-2005-0401 Search in Google Scholar

A.M. Wazwaz and S.A. El-Tantawy, A new integrable (3+1)-dimensional KdV-like model with its multiple-soliton solutions, Nonlinear Dyn, 83(3), (2016) 1529–1534. WazwazA.M. El-TantawyS.A. A new integrable (3+1)-dimensional KdV-like model with its multiple-soliton solutions Nonlinear Dyn 83 3 2016 1529 1534 10.1007/s11071-015-2427-0 Search in Google Scholar

A.S. Alofi, Extended Jacobi Elliptic Function Expansion Method for Nonlinear Benjamin-Bona-Mahony Equations, International Mathematical Forum, 7(53) (2012), 2639–2649. AlofiA.S. Extended Jacobi Elliptic Function Expansion Method for Nonlinear Benjamin-Bona-Mahony Equations International Mathematical Forum 7 53 2012 2639 2649 Search in Google Scholar

D.J. Evans, K.R. Raslan, The tanh Function Method for Solving Some Important Non-Linear Partial Differential Equations, International Journal of Computer Mathematics, 82(7) (2005), 897–905. EvansD.J. RaslanK.R. The tanh Function Method for Solving Some Important Non-Linear Partial Differential Equations International Journal of Computer Mathematics 82 7 2005 897 905 10.1080/00207160412331336026 Search in Google Scholar

A.H. Arnous and M. Mirzazadeh, Application of the generalized Kudryashov method to the Eckhaus equation, Nonlinear Analysis: Modelling and Control, 21(5) (2016), 577–586. ArnousA.H. MirzazadehM. Application of the generalized Kudryashov method to the Eckhaus equation Nonlinear Analysis: Modelling and Control 21 5 2016 577 586 10.15388/NA.2016.5.1 Search in Google Scholar

S. Bibi and S.T. Mohyud-Din, Traveling wave solutions of KdVs using sine-cosine method, Journal of the Association of Arab Universities for Basic and Applied Sciences, 15 (2014), 90–93. BibiS. Mohyud-DinS.T. Traveling wave solutions of KdVs using sine-cosine method Journal of the Association of Arab Universities for Basic and Applied Sciences 15 2014 90 93 10.1016/j.jaubas.2013.03.006 Search in Google Scholar

E.M.E. Zayed, A.M. Abourabia, K.A. Gepreel and M.M. Horbaty, On the Rational Solitary Wave Solutions for the Nonlinear Hirota-Satsuma Coupled KdV System, Journal of Applied Analysis, 85 (2006), 751–768. ZayedE.M.E. AbourabiaA.M. GepreelK.A. HorbatyM.M. On the Rational Solitary Wave Solutions for the Nonlinear Hirota-Satsuma Coupled KdV System Journal of Applied Analysis 85 2006 751 768 10.1080/00036810600604789 Search in Google Scholar

S.S. Motsa, P. Sibanda, F.G. Awad and S. Shateyi, A New Spectral-Homotopy Analysis Method for the MHD Jeffery-Hamel Problem, Computers and Fluids, 39 (2010), 1219–1225. MotsaS.S. SibandaP. AwadF.G. ShateyiS. A New Spectral-Homotopy Analysis Method for the MHD Jeffery-Hamel Problem Computers and Fluids 39 2010 1219 1225 10.1016/j.compfluid.2010.03.004 Search in Google Scholar

H.M. Baskonus and H. Bulut, Exponential Prototype Structure for (2+1)-Dimensional Boiti-Leon-Pempinelli systems in Mathematical Physics, Waves in Random and Complex Media, 26(2) (2016), 189–196. BaskonusH.M. BulutH. Exponential Prototype Structure for (2+1)-Dimensional Boiti-Leon-Pempinelli systems in Mathematical Physics Waves in Random and Complex Media 26 2 2016 189 196 10.1080/17455030.2015.1132860 Search in Google Scholar

H.M. Baskonus, H. Bulut, and A. Atangana, On the Complex and Hyperbolic Structures of Longitudinal Wave Equation in a Magneto-Electro-Elastic Circular Rod, Smart Materials and Structures, 25(3) (2016), 035022. BaskonusH.M. BulutH. AtanganaA. On the Complex and Hyperbolic Structures of Longitudinal Wave Equation in a Magneto-Electro-Elastic Circular Rod Smart Materials and Structures 25 3 2016 035022 10.1088/0964-1726/25/3/035022 Search in Google Scholar

C. Cattani, T.A. Sulaiman, H.M. Baskonus and H. Bulut, Solitons in an inhomogeneous Murnaghan's rod, Eur. Phys. J. Plus, 133 (2018), 228 CattaniC. SulaimanT.A. BaskonusH.M. BulutH. Solitons in an inhomogeneous Murnaghan's rod Eur. Phys. J. Plus 133 2018 228 10.1140/epjp/i2018-12085-y Search in Google Scholar

S. Duran, M. Askin and T.A. Sulaiman, New soliton properties to the ill-posed Boussinesq equation arising in nonlinear physical science, IJOCTA, 7(3) (2017), 240–247. DuranS. AskinM. SulaimanT.A. New soliton properties to the ill-posed Boussinesq equation arising in nonlinear physical science IJOCTA 7 3 2017 240 247 10.11121/ijocta.01.2017.00495 Search in Google Scholar

H. Bulut, T.A. Sulaiman, H.M. Baskonus, and A.A. Sandulyak, New Solitary and Optical Wave Structures to the (1+1)-Dimensional Combined KdV-mKdV Equation, Optik, 135 (2017), 327–336. BulutH. SulaimanT.A. BaskonusH.M. SandulyakA.A. New Solitary and Optical Wave Structures to the (1+1)-Dimensional Combined KdV-mKdV Equation Optik 135 2017 327 336 10.1016/j.ijleo.2017.01.071 Search in Google Scholar

Y. Xu, K. Sun, S. He and L. Zhang, Dynamics of a Fractional-Order Simplified Unified System Based on the Adomian Decomposition Method, Eur. Phys. J. Plus, 131 (2016), 186. XuY. SunK. HeS. ZhangL. Dynamics of a Fractional-Order Simplified Unified System Based on the Adomian Decomposition Method Eur. Phys. J. Plus 131 2016 186 10.1140/epjp/i2016-16186-3 Search in Google Scholar

Y. Chen and B. Li, General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order, Chaos Soliton Fractals, 19(4) (2004), 984–977. ChenY. LiB. General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order Chaos Soliton Fractals 19 4 2004 984 977 10.1016/S0960-0779(03)00250-9 Search in Google Scholar

H. Naher and F.A. Abdullah, The Modified Benjamin-Bona-Mahony Equation via the Extended Generalized Riccati Equation Mapping Method, Applied Mathematical Sciences, 6(111) (2012), 5495–5512. NaherH. AbdullahF.A. The Modified Benjamin-Bona-Mahony Equation via the Extended Generalized Riccati Equation Mapping Method Applied Mathematical Sciences 6 111 2012 5495 5512 Search in Google Scholar

W. Zhang, A Generalized Tanh-Function Type Method and the (G/G)-Expansion Method for Solving Nonlinear Partial Differential Equations, Applied Mathematics, 4 (2013), 11–16. ZhangW. A Generalized Tanh-Function Type Method and the (G/G)-Expansion Method for Solving Nonlinear Partial Differential Equations Applied Mathematics 4 2013 11 16 10.4236/am.2013.410A1003 Search in Google Scholar

Y. Liang, Exact Solutions of the (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev equation and Fisher equations using the modified Simple Equation Method, Journal of Interdisciplinary Mathematics, 17 (2014), 565–578. LiangY. Exact Solutions of the (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev equation and Fisher equations using the modified Simple Equation Method Journal of Interdisciplinary Mathematics 17 2014 565 578 10.1080/09720502.2014.950054 Search in Google Scholar

A. Atangana and B.S.T. Alkahtani, New Model of Groundwater Flowing Within a Confine Aquifer: Application of Caputo-Fabrizio Derivative, Arabian Journal of Geosciences, 1(9) (2017), 1–6. AtanganaA. AlkahtaniB.S.T. New Model of Groundwater Flowing Within a Confine Aquifer: Application of Caputo-Fabrizio Derivative Arabian Journal of Geosciences 1 9 2017 1 6 10.1007/s12517-015-2060-8 Search in Google Scholar

Z. Hammouch and T. Mekkaoui, Travelling-wave solutions for some fractional partial differential equation by means of generalized trigonometry functions, International Journal of Applied Mathematical Research, 1(2) (2012), 206–212. HammouchZ. MekkaouiT. Travelling-wave solutions for some fractional partial differential equation by means of generalized trigonometry functions International Journal of Applied Mathematical Research 1 2 2012 206 212 10.14419/ijamr.v1i2.66 Search in Google Scholar

Z. Hammouch and T. Mekkaoui, Traveling-wave solutions of the Generalized Zakharov Equation with time-space fractional derivatives, Journal MESA, 2(4) (2014), 489–498. HammouchZ. MekkaouiT. Traveling-wave solutions of the Generalized Zakharov Equation with time-space fractional derivatives Journal MESA 2 4 2014 489 498 Search in Google Scholar

A. Houwe, Z. Hammouch, D. Bienvenue, S. Nestor, G. Betchewe and S.Y. Doka, Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by exp(−Φ(ξ))-expansion method, Preprint, (2019), doi:10.20944/preprints201903.0114.v1. HouweA. HammouchZ. BienvenueD. NestorS. BetcheweG. DokaS.Y. Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by exp(−Φ(ξ))-expansion method Preprint 2019 10.20944/preprints201903.0114.v1 Open DOISearch in Google Scholar

Z. Hammouch, T. Mekkaoui and P. Agarwal, Optical solitons for the Calogero-Bogoyavlenskii-Schiff equation in (2 + 1)-dimensions with time-fractional conformable derivative, The European Physical Journal Plus, 133 (2018), 248. HammouchZ. MekkaouiT. AgarwalP. Optical solitons for the Calogero-Bogoyavlenskii-Schiff equation in (2 + 1)-dimensions with time-fractional conformable derivative The European Physical Journal Plus 133 2018 248 10.1140/epjp/i2018-12096-8 Search in Google Scholar

H.M. Baskonus, T.A. Sulaiman and H. Bulut, Novel complex and hyperbolic forms to the strain wave equation in microstructured solids, Optical and Quantum Electronics, 50 (2018), 14. BaskonusH.M. SulaimanT.A. BulutH. Novel complex and hyperbolic forms to the strain wave equation in microstructured solids Optical and Quantum Electronics 50 2018 14 10.1007/s11082-017-1279-x Search in Google Scholar

O.A. Ilhan, H. Bulut T.A. Sulaiman and H.M. Baskonus, Dynamic of solitary wave solutions in some nonlinear pseudoparabolic models and Dodd-Bullough-Mikhailov equation, Indian Journal of Physics, 92(8) (2018), 999–1007. IlhanO.A. BulutH. SulaimanT.A. BaskonusH.M. Dynamic of solitary wave solutions in some nonlinear pseudoparabolic models and Dodd-Bullough-Mikhailov equation Indian Journal of Physics 92 8 2018 999 1007 10.1007/s12648-018-1187-3 Search in Google Scholar

A. Yokus, T.A. Sulaiman, M.T. Gulluoglu and H. Bulut, Stability analysis, numerical and exact solutions of the (1+ 1)-dimensional NDMBBM equation, ITM Web of Conferences, 22 (2018), 01064. YokusA. SulaimanT.A. GulluogluM.T. BulutH. Stability analysis, numerical and exact solutions of the (1+ 1)-dimensional NDMBBM equation ITM Web of Conferences 22 2018 01064 10.1051/itmconf/20182201064 Search in Google Scholar

A. Atangana, A Novel Model for the Lassa Hemorrhagic Fever: Deathly Disease for Pregnant Women, Neural Computing and Applications, 26(8) (2015), 1895–1903. AtanganaA. A Novel Model for the Lassa Hemorrhagic Fever: Deathly Disease for Pregnant Women Neural Computing and Applications 26 8 2015 1895 1903 10.1007/s00521-015-1860-9 Search in Google Scholar

A. Atangana, A Novel Model for the Lassa Hemorrhagic Fever: Deathly Disease for Pregnant Women, Neural Computing and Applications, 26(8) (2015), 1895–1903. AtanganaA. A Novel Model for the Lassa Hemorrhagic Fever: Deathly Disease for Pregnant Women Neural Computing and Applications 26 8 2015 1895 1903 10.1007/s00521-015-1860-9 Search in Google Scholar

A. R. Seadawy, Ionic acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili Burgers equations in quantum plasma, Mathematical Methods and Applied Sciences, 40 (2017) 1598–1607. SeadawyA. R. Ionic acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili Burgers equations in quantum plasma Mathematical Methods and Applied Sciences 40 2017 1598 1607 10.1002/mma.4081 Search in Google Scholar

S.T.R. Rizvi and K. Ali, Jacobian elliptic periodic traveling wave solutions in the negative-index materials, Nonlinear Dynamics, 87(3)(2017) 1967–1972. RizviS.T.R. AliK. Jacobian elliptic periodic traveling wave solutions in the negative-index materials Nonlinear Dynamics 87 3 2017 1967 1972 10.1007/s11071-016-3166-6 Search in Google Scholar

C. Cattani, Y.Y. Rushchitskii, Cubically nonlinear elastic waves: wave equations and methods of analysis, International applied mechanics, 39(10) (2003) 1115–1145. CattaniC. RushchitskiiY.Y. Cubically nonlinear elastic waves: wave equations and methods of analysis International applied mechanics 39 10 2003 1115 1145 10.1023/B:INAM.0000010366.48158.48 Search in Google Scholar

H.M. Baskonus, T.A. Sulaiman and H. Bulut, Bright, dark optical and other solitons to the generalized higher-order NLSE in optical fibers, Opt Quant Electron, 50 253 (2018) BaskonusH.M. SulaimanT.A. BulutH. Bright, dark optical and other solitons to the generalized higher-order NLSE in optical fibers Opt Quant Electron 50 253 2018 10.1007/s11082-018-1522-0 Search in Google Scholar

H. Bulut, T.A. Sulaiman and B. Demirdag, Dynamics of soliton solutions in the chiral nonlinear Schrödinger equations, Nonlinear Dyn., 91(3) (2018), 1985–1991. BulutH. SulaimanT.A. DemirdagB. Dynamics of soliton solutions in the chiral nonlinear Schrödinger equations Nonlinear Dyn. 91 3 2018 1985 1991 10.1007/s11071-017-3997-9 Search in Google Scholar

C. Cattani, Harmonic wavelet solutions of the Schrodinger equation, International Journal of Fluid Mechanics Research, 30(5) (2003) 23. CattaniC. Harmonic wavelet solutions of the Schrodinger equation International Journal of Fluid Mechanics Research 30 5 2003 23 10.1615/InterJFluidMechRes.v30.i5.10 Search in Google Scholar

M. Eslami, A. Neyrame and Ebrahimi M., Explicit solutions of nonlinear (2+1)-dimensional dispersive long wave equation, Journal of King Saud University-Science, 24(1) (2012) 69–71. EslamiM. NeyrameA. EbrahimiM. Explicit solutions of nonlinear (2+1)-dimensional dispersive long wave equation Journal of King Saud University-Science 24 1 2012 69 71 10.1016/j.jksus.2010.08.003 Search in Google Scholar

A. R. Seadawy, Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow: Part I, Comp. and Math. Appl. 70 (2015) 345–352. SeadawyA. R. Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow: Part I Comp. and Math. Appl. 70 2015 345 352 10.1016/j.camwa.2015.04.015 Search in Google Scholar

M. Eslami and H. Rezazadeh, The first integral method for Wu-Zhang system with conformable time-fractional derivative, Calcolo, 53(3) (2016) 475–485. EslamiM. RezazadehH. The first integral method for Wu-Zhang system with conformable time-fractional derivative Calcolo 53 3 2016 475 485 10.1007/s10092-015-0158-8 Search in Google Scholar

H.M. Baskonus, T.A. Sulaiman, H. Bulut and T. Akturk, Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrödinger equation with-potential, Superlattices and Microstructures, 115 (2018), 19–29. BaskonusH.M. SulaimanT.A. BulutH. AkturkT. Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrödinger equation with-potential Superlattices and Microstructures 115 2018 19 29 10.1016/j.spmi.2018.01.008 Search in Google Scholar

S.T.R. Rizvi, K. Ali, M. Salman, B. Nawaz and M. Younis, Solitary wave solutions for quintic complex Ginzburg-Landau model, Optik, 149 59–62 (2017) RizviS.T.R. AliK. SalmanM. NawazB. YounisM. Solitary wave solutions for quintic complex Ginzburg-Landau model Optik 149 59 62 2017 10.1016/j.ijleo.2017.09.028 Search in Google Scholar

S.S. Afzal, M. Younis and S.T.R. Rizvi, Optical dark and dark-singular solitons with anti-cubic nonlinearity, Optik, 147 27–31 (2017) AfzalS.S. YounisM. RizviS.T.R. Optical dark and dark-singular solitons with anti-cubic nonlinearity Optik 147 27 31 2017 10.1016/j.ijleo.2017.08.067 Search in Google Scholar

S.S. Ray, New Double Periodic Exact Solutions of the Coupled Schrödinger-Boussinesq Equations Describing Physical Processes in Laser and Plasma Physics, Chinese Journal of Physics, 55(5) (2017) 2039–2047 RayS.S. New Double Periodic Exact Solutions of the Coupled Schrödinger-Boussinesq Equations Describing Physical Processes in Laser and Plasma Physics Chinese Journal of Physics 55 5 2017 2039 2047 10.1016/j.cjph.2017.08.022 Search in Google Scholar

T.A. Sulaiman, T. Akturk, H. Bulut and H.M. Baskonus, Investigation of various soliton solutions to the Heisenberg ferromagnetic spin chain equation, Journal of Electromagnetic Waves and Applications, (2017) https://doi.org/10.1080/09205071.2017.1417919 1–13 SulaimanT.A. AkturkT. BulutH. BaskonusH.M. Investigation of various soliton solutions to the Heisenberg ferromagnetic spin chain equation Journal of Electromagnetic Waves and Applications 2017 https://doi.org/10.1080/09205071.2017.1417919 1 13 10.1080/09205071.2017.1417919 Search in Google Scholar

P.D. Ariel, The homotopy perturbation method and analytical solution of the problem of flow past a rotating disk, Computers and Mathematics with Applications, 58(11–12) (2009) 2504–2513. ArielP.D. The homotopy perturbation method and analytical solution of the problem of flow past a rotating disk Computers and Mathematics with Applications 58 11–12 2009 2504 2513 10.1016/j.camwa.2009.03.064 Search in Google Scholar

Z. Fu, S. Liu and Q. Zhao, New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations, Physics Letters A, 290 (2001), 72–76. FuZ. LiuS. ZhaoQ. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations Physics Letters A 290 2001 72 76 10.1016/S0375-9601(01)00644-2 Search in Google Scholar

K.A. Touchent and F.M. Belgacem, Nonlinear Fractional Partial Differential Equations Systems Solutions Through a Hybrid Homotopy Pertubation Sumudu Transform Method, Nonlinear Studies, 22(4) (2015), 591–600. TouchentK.A. BelgacemF.M. Nonlinear Fractional Partial Differential Equations Systems Solutions Through a Hybrid Homotopy Pertubation Sumudu Transform Method Nonlinear Studies 22 4 2015 591 600 Search in Google Scholar

H. Bulut, T.A. Sulaiman and H.M. Baskonus, Dark, bright optical and other solitons with conformable space-time fractional second-order spatiotemporal dispersion, Optik, 163 (2018), 1–7. BulutH. SulaimanT.A. BaskonusH.M. Dark, bright optical and other solitons with conformable space-time fractional second-order spatiotemporal dispersion Optik 163 2018 1 7 10.1016/j.ijleo.2018.02.086 Search in Google Scholar

H.M. Baskonus, T.A. Sulaiman and H. Bulut, Dark, bright and other optical solitons to the decoupled nonlinear Schrödinger equation arising in dual-core optical fibers, Opt Quant Electron, 50 (2018), 165. BaskonusH.M. SulaimanT.A. BulutH. Dark, bright and other optical solitons to the decoupled nonlinear Schrödinger equation arising in dual-core optical fibers Opt Quant Electron 50 2018 165 10.1007/s11082-018-1433-0 Search in Google Scholar

X. Xian-Lin and T. Jia-Shi, Travelling Wave Solutions for Konopelchenko-Dubrovsky Equation Using an Extended sinh-Gordon Equation Expansion Method, Commun. Theor. Phys., 50 (2008), 1047. Xian-LinX. Jia-ShiT. Travelling Wave Solutions for Konopelchenko-Dubrovsky Equation Using an Extended sinh-Gordon Equation Expansion Method Commun. Theor. Phys. 50 2008 1047 10.1088/0253-6102/50/5/06 Search in Google Scholar

H.M. Baskonus, New Acoustic Wave Behaviors to the Davey-Stewartson Equation with Power Nonlinearity Arising in Fluid Dynamics, Nonlinear Dynamics, 86(1) (2016), 177–183. BaskonusH.M. New Acoustic Wave Behaviors to the Davey-Stewartson Equation with Power Nonlinearity Arising in Fluid Dynamics Nonlinear Dynamics 86 1 2016 177 183 10.1007/s11071-016-2880-4 Search in Google Scholar

M.G. Hafez, M.N. Alam and M.A. Akbar, Traveling wave solutions for some important coupled nonlinear physical models via the coupled Higgs equation and the Maccari system, King Saud University Journal of King Saud University-Science, 27 (2015), 105–112. HafezM.G. AlamM.N. AkbarM.A. Traveling wave solutions for some important coupled nonlinear physical models via the coupled Higgs equation and the Maccari system King Saud University Journal of King Saud University-Science 27 2015 105 112 10.1016/j.jksus.2014.09.001 Search in Google Scholar

M.G. Hafez, B. Zheng and M.A. Akbar, Exact travelling wave solutions of the coupled nonlinear evolution equation via the Maccari system using novel (G/G)-expansion method, Egyptian Journal of Basic and Applied Sciences, 2 (2015), 206–220. HafezM.G. ZhengB. AkbarM.A. Exact travelling wave solutions of the coupled nonlinear evolution equation via the Maccari system using novel (G/G)-expansion method Egyptian Journal of Basic and Applied Sciences 2 2015 206 220 10.1016/j.ejbas.2015.04.002 Search in Google Scholar

G. Ebadi, E.V. Krishnan, M. Labidi, E. Zerrad and A. Biswas, Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity, Waves Random Compl. Media, 21(4) (2011), 559–590. EbadiG. KrishnanE.V. LabidiM. ZerradE. BiswasA. Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity Waves Random Compl. Media 21 4 2011 559 590 10.1080/17455030.2011.606853 Search in Google Scholar

C. Babaoglu, Long-wave short-wave resonance case for a generalized Davey-Stewartson system, Chaos, Solitons Fractals, 38 (2008), 48–54. BabaogluC. Long-wave short-wave resonance case for a generalized Davey-Stewartson system Chaos, Solitons Fractals 38 2008 48 54 10.1016/j.chaos.2008.02.007 Search in Google Scholar

K.W. Chow and S.Y. Lou, Propagating wave patterns and peakons of the Davey-Stewartson system, Chaos, Solitons Fractals, 27 (2006), 561–567. ChowK.W. LouS.Y. Propagating wave patterns and peakons of the Davey-Stewartson system Chaos, Solitons Fractals 27 2006 561 567 10.1016/j.chaos.2005.04.036 Search in Google Scholar

Y. Ohta and J. Yang, Dynamics of rogue waves in the Davey-Stewartson II equation, J. Phys. A: Math. Theor, 46 (2013), 105202. OhtaY. YangJ. Dynamics of rogue waves in the Davey-Stewartson II equation J. Phys. A: Math. Theor 46 2013 105202 10.1088/1751-8113/46/10/105202 Search in Google Scholar

H.A. Zedan and S.J. Monaque, The sine-cosine method for the Davey-Stewartson equations, Appl. Math. E-Notes, 10 (2010), 103–111. ZedanH.A. MonaqueS.J. The sine-cosine method for the Davey-Stewartson equations Appl. Math. E-Notes 10 2010 103 111 Search in Google Scholar

S. Shen and L. Jiang, The Davey-Stewartson equation with sources derived from nonlinear variable separation method, J. Comput. Appl. Math., 233 (2009), 585–589. ShenS. JiangL. The Davey-Stewartson equation with sources derived from nonlinear variable separation method J. Comput. Appl. Math. 233 2009 585 589 10.1016/j.cam.2009.07.020 Search in Google Scholar

A. Maccari, The Kadomtsev-Petviashvili equation as a source of integrable model equations, J. Math. Phys., 37 (1996), 6207. MaccariA. The Kadomtsev-Petviashvili equation as a source of integrable model equations J. Math. Phys. 37 1996 6207 10.1063/1.531773 Search in Google Scholar

H. Zhao, Applications of the generalized algebraic method to special-type nonlinear equations, Chaos Solit. Fract., 36 (2008), 359–369. ZhaoH. Applications of the generalized algebraic method to special-type nonlinear equations Chaos Solit. Fract. 36 2008 359 369 10.1016/j.chaos.2006.06.060 Search in Google Scholar

J. Liu, Classifying Exact Traveling Wave Solutions to the Coupled-Higgs Equation, Journal of Applied Mathematics and Physics, 3 (2015), 279–284. LiuJ. Classifying Exact Traveling Wave Solutions to the Coupled-Higgs Equation Journal of Applied Mathematics and Physics 3 2015 279 284 10.4236/jamp.2015.33041 Search in Google Scholar

J.M. Heris and I. Zamanpour, Analytical Treatment of the Coupled Higgs Equation and the Maccari System Via Exp-Function Method, Acta Universitatis Apulensis, 33 (2013), 203–216. HerisJ.M. ZamanpourI. Analytical Treatment of the Coupled Higgs Equation and the Maccari System Via Exp-Function Method Acta Universitatis Apulensis 33 2013 203 216 Search in Google Scholar

M. Akbari, Exact solutions of the coupled Higgs equation and the Maccari system using the modified simplest equation method, Inf. Sci. Lett., 2(3) (2013), 155–158. AkbariM. Exact solutions of the coupled Higgs equation and the Maccari system using the modified simplest equation method Inf. Sci. Lett. 2 3 2013 155 158 10.12785/isl/020304 Search in Google Scholar

A.M. Wazwaz, Abundant soliton and periodic wave solutions for the coupled Higgs field equation, the Maccari system and the Hirota-Maccari system, Phys. Scr., 85 (2012), 065011. WazwazA.M. Abundant soliton and periodic wave solutions for the coupled Higgs field equation, the Maccari system and the Hirota-Maccari system Phys. Scr. 85 2012 065011 10.1088/0031-8949/85/06/065011 Search in Google Scholar

H. Kumar and F. Chand, Applications of extended F-expansion and projective Ricatti equation methods to (2+1)-dimensional soliton equations, AIP Advances, 3 (2013), 032128. KumarH. ChandF. Applications of extended F-expansion and projective Ricatti equation methods to (2+1)-dimensional soliton equations AIP Advances 3 2013 032128 10.1063/1.4795854 Search in Google Scholar

S.T. Mohyud-Din and M. Shakeel, Soliton solutions of coupled systems by improved (G/G)-expansion method, AIP Conference Proceedings, 1562 (2013), 156–166. Mohyud-DinS.T. ShakeelM. Soliton solutions of coupled systems by improved (G/G)-expansion method AIP Conference Proceedings 1562 2013 156 166 10.1063/1.4828689 Search in Google Scholar

J. Lee, Exact travelling wave solutions for some important nonlinear physical models, Pramana-J. Phys., 80(5) (2013), 757–769. LeeJ. Exact travelling wave solutions for some important nonlinear physical models Pramana-J. Phys. 80 5 2013 757 769 10.1007/s12043-013-0520-9 Search in Google Scholar

M.A. Ablowitz and P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge: Cambridge University Press, 1st-edition, (1991). AblowitzM.A. ClarksonP.A. Solitons, Nonlinear Evolution Equations and Inverse Scattering Cambridge Cambridge University Press 1st-edition 1991 10.1017/CBO9780511623998 Search in Google Scholar

E.W. Weisstein, Concise Encyclopedia of Mathematics, 2nd edition. New York: CRC Press, (2002) WeissteinE.W. Concise Encyclopedia of Mathematics 2nd edition New York CRC Press 2002 10.1201/9781420035223 Search in Google Scholar

eISSN:
2444-8656
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics