This work is licensed under the Creative Commons Attribution 4.0 International License.
Olver P.J., Applications of Lie groups to differential equations (Vol. 107). Springer Science & Business Media (2000).OlverP.J.Applications of Lie groups to differential equations107Springer Science & Business Media2000Search in Google Scholar
Moleleki L. D., Motsepa T., Khalique C.M., Solutions and conservation laws of a generalized second extended (3+1)-dimensional Jimbo-Miwa equation, Applied Mathematics and Nonlinear Sciences 3(2018) 459–474.MolelekiL. D.MotsepaT.KhaliqueC.M.Solutions and conservation laws of a generalized second extended (3+1)-dimensional Jimbo-Miwa equationApplied Mathematics and Nonlinear Sciences3201845947410.2478/AMNS.2018.2.00036Search in Google Scholar
Khalique C.M., Adeyemo O. D., Simbanefayi I., On optimal system, exact solutions and conservation laws of the modified equal-width equation, Applied Mathematics and Nonlinear Sciences 3(2018) 409–418KhaliqueC.M.AdeyemoO. D.SimbanefayiI.On optimal system, exact solutions and conservation laws of the modified equal-width equationApplied Mathematics and Nonlinear Sciences3201840941810.21042/AMNS.2018.2.00031Search in Google Scholar
Hirota R., Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons. Physical Review Letters, 27(18) (1971), 1192.HirotaR.Exact solution of the Korteweg-de Vries equation for multiple collisions of solitonsPhysical Review Letters27181971119210.1103/PhysRevLett.27.1192Search in Google Scholar
Conte, R. (Ed.). (2012). The Painlevé property: one century later. Springer Science & Business Media.ConteR.(Ed.).2012The Painlevé property: one century laterSpringer Science & Business MediaSearch in Google Scholar
Hirota, R., & Satsuma, J. (1976). A variety of nonlinear network equations generated from the Bäcklund transformation for the Toda lattice. Progress of Theoretical Physics Supplement, 59, 64–100.HirotaR.SatsumaJ.1976A variety of nonlinear network equations generated from the Bäcklund transformation for the Toda latticeProgress of Theoretical Physics Supplement596410010.1143/PTPS.59.64Search in Google Scholar
Gu, Chaohao, Hu, Anning, Zhou, Zixiang, 2005, Darboux Transformations in Integrable Systems, Theory and their Applications to Geometry., Springer-Verlag.GuChaohaoHuAnningZhouZixiang2005Darboux Transformations in Integrable Systems, Theory and their Applications to GeometrySpringer-Verlag10.1007/1-4020-3088-6Search in Google Scholar
Kudryashov N A., Simplest equation method to look for exact solutions of nonlinear dierential equations. Chaos, Solitons & Fractals 24(5) (2005), 1217–1231.KudryashovN A.Simplest equation method to look for exact solutions of nonlinear dierential equationsChaos, Solitons & Fractals24520051217123110.1016/j.chaos.2004.09.109Search in Google Scholar
Wang M., Zhou Y., Li Z., Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics. Physics Letters A, 216 (1–5) (1996), 67–75.WangM.ZhouY.LiZ.Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physicsPhysics Letters A2161–51996677510.1016/0375-9601(96)00283-6Search in Google Scholar
He J.H., Wu X.H., Exp-function method for nonlinear wave equations. Chaos, Solitons & Fractals, 30(3) (2006), 700–708.HeJ.H.WuX.H.Exp-function method for nonlinear wave equationsChaos, Solitons & Fractals303200670070810.1016/j.chaos.2006.03.020Search in Google Scholar
Wazwaz A.M., A sine-cosine method for handling nonlinear wave equations. Mathematical and Computer modelling, 40(5–6) (2004), 499–508.WazwazA.M.A sine-cosine method for handling nonlinear wave equationsMathematical and Computer modelling405–6200449950810.1016/j.mcm.2003.12.010Search in Google Scholar
Lou S.Y., Hu X.B., Infinitely many Lax pairs and symmetry constraints of the KP equation. Journal of Mathematical Physics, 38(12) (1997), 6401–6427.LouS.Y.HuX.B.Infinitely many Lax pairs and symmetry constraints of the KP equationJournal of Mathematical Physics381219976401642710.1063/1.532219Search in Google Scholar
Novikov, S., Manakov, S. V., Pitaevskii, L. P., & Zakharov, V. E. (1984). Theory of solitons: the inverse scattering method. Springer Science & Business Media.NovikovS.ManakovS. V.PitaevskiiL. P.ZakharovV. E.1984Theory of solitons: the inverse scattering methodSpringer Science & Business MediaSearch in Google Scholar
https://en.wikipedia.org/wiki/Nonlinear_Schr%C3%B6dinger_equationhttps://en.wikipedia.org/wiki/Nonlinear_Schr%C3%B6dinger_equationSearch in Google Scholar
Malomed, Boris (2005), Nonlinear Schrödinger Equations, edited by A. Scott, Encyclopedia of Nonlinear Science, New York: Routledge, pp. 639–643MalomedBoris2005Nonlinear Schrödinger Equationsedited byScottA.Encyclopedia of Nonlinear ScienceNew YorkRoutledge639643Search in Google Scholar
Mason L J; and Spirling G A J 1992 3. (J Geom Phys. 8 243)MasonL JSpirlingG A J19923. (J Geom Phys.8 243)Search in Google Scholar
Ward, R. S. (1981). Ansätze for self-dual Yang-Mills fields. Communications in Mathematical Physics, 80(4), 563–574.WardR. S.1981Ansätze for self-dual Yang-Mills fieldsCommunications in Mathematical Physics80456357410.1007/BF01941664Search in Google Scholar
Strachan, I. A. B. (1992). Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schrödinger equation. Inverse Problems, 8(5), L21.StrachanI. A. B.1992Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schrödinger equationInverse Problems85L2110.1088/0266-5611/8/5/001Search in Google Scholar
Radha R, Lakshmanan M. Singularity structure analysis and bilinear form of a (2+1)-dimensional nonlinear SE. Inverse Probl. 1994;10:29–32.RadhaRLakshmananMSingularity structure analysis and bilinear form of a (2+1)-dimensional nonlinear SEInverse Probl.199410293210.1088/0266-5611/10/4/002Search in Google Scholar
Zakharov V E 1980 Solitons ed R.K Bullough and P J Caudrey (Berlin: Springer)ZakharovV E1980SolitonsedBulloughR.KCaudreyP JBerlinSpringerSearch in Google Scholar
J Wang, L W Chen, C F Liu, Bifurcations and travelling wave solutions of a (2 + 1)-dimensional nonlinear Schrödinger equation, Applied Mathematics and Computation 249, 15, 2014, 76–80WangJChenL WLiuC FBifurcations and travelling wave solutions of a (2 + 1)-dimensional nonlinear Schrödinger equationApplied Mathematics and Computation249152014768010.1016/j.amc.2014.10.025Search in Google Scholar
Muhammad Younis, Nadia Cheemaa, Syed Amer Mehmood, Syed Tahir Raza Rizvi & Ahmet Bekir (2018) A variety of exact solutions to (2+1)-dimensional schrödinger equation, Waves in Random and Complex Media, DOI: 10.1080/17455030.2018.1532131YounisMuhammadCheemaaNadiaMehmoodSyed AmerRaza RizviSyed TahirBekirAhmet2018A variety of exact solutions to (2+1)-dimensional schrödinger equationWaves in Random and Complex Media10.1080/17455030.2018.1532131Open DOISearch in Google Scholar
Mohyud-Din, S. T., & Ali, A. (2017). Exp (−ϕ(ε))–expansion Method and Shifted Chebyshev Wavelets for Generalized Sawada-Kotera of Fractional Order. Fundamenta Informaticae, 151(1–4), 173–190.Mohyud-DinS. T.AliA.2017Exp (−ϕ(ε))–expansion Method and Shifted Chebyshev Wavelets for Generalized Sawada-Kotera of Fractional OrderFundamenta Informaticae1511–417319010.3233/FI-2017-1486Search in Google Scholar
Zahran, E. H. (2015). Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp (−ϕ(ε))-Expansion Method. International Journal of Computer Applications, 109(13).ZahranE. H.2015Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp (−ϕ(ε))-Expansion MethodInternational Journal of Computer Applications10913Search in Google Scholar
Hosseini, K., Mayeli, P., Bekir, A., & Guner, O. (2018). Density-dependent conformable space-time fractional diffusion-reaction equation and its exact solutions. Communications in Theoretical Physics, 69(1), 1.HosseiniK.MayeliP.BekirA.GunerO.2018Density-dependent conformable space-time fractional diffusion-reaction equation and its exact solutionsCommunications in Theoretical Physics691110.1088/0253-6102/69/1/1Search in Google Scholar
Kudryashov, N. A. (2012). One method for finding exact solutions of nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation, 17(6), 2248–2253.KudryashovN. A.2012One method for finding exact solutions of nonlinear differential equationsCommunications in Nonlinear Science and Numerical Simulation1762248225310.1016/j.cnsns.2011.10.016Search in Google Scholar
Ege, S. M., & Misirli, E. (2014). The modified Kudryashov method for solving some fractional-order nonlinear equations. Advances in Difference Equations, 2014(1), 135.EgeS. M.MisirliE.2014The modified Kudryashov method for solving some fractional-order nonlinear equationsAdvances in Difference Equations2014113510.1186/1687-1847-2014-135Search in Google Scholar
A. Stakhov, B. Rozin. On a new class of hyperbolic functions. Chaos, Solitons & Fractals, 2005, 23(2): 379–389.StakhovA.RozinB.On a new class of hyperbolic functionsChaos, Solitons & Fractals200523237938910.1016/j.chaos.2004.04.022Search in Google Scholar
E. M. E. Zayed, K. A. E. Alurrfi, The modified Kudryashov method for solving some seventh order nonlinear PDEs in mathematical physics, World Journal of Modelling and Simulation Vol. 11 (2015) No. 4, pp. 308–319.ZayedE. M. E.AlurrfiK. A. E.The modified Kudryashov method for solving some seventh order nonlinear PDEs in mathematical physicsWorld Journal of Modelling and Simulation1120154308319Search in Google Scholar
Wazwaz, Abdul-Majid. The tanh method for generalized forms of nonlinear heat conduction and Burgers–Fisher equations. Applied Mathematics and Computation 169.1 (2005): 321–338.WazwazAbdul-MajidThe tanh method for generalized forms of nonlinear heat conduction and Burgers–Fisher equationsApplied Mathematics and Computation1691200532133810.1016/j.amc.2004.09.054Search in Google Scholar
Latif, M. S. (2015). The improved (G’/G)-expansion method is equivalent to the tanh method. arXiv preprint arXiv:1506.06025.LatifM. S.2015The improved (G’/G)-expansion method is equivalent to the tanh methodarXiv preprint arXiv:1506.06025.Search in Google Scholar
Tariq, Hira, and Ghazala Akram. New traveling wave exact and approximate solutions for the nonlinear Cahn–Allen equation: evolution of a nonconserved quantity. Nonlinear Dynamics 88.1 (2017): 581–594.TariqHiraAkramGhazalaNew traveling wave exact and approximate solutions for the nonlinear Cahn–Allen equation: evolution of a nonconserved quantityNonlinear Dynamics881201758159410.1007/s11071-016-3262-7Search in Google Scholar