Dispersive modified Benjamin-Bona-Mahony and Kudryashov-Sinelshchikov equations: non-topological, topological, and rogue wave solitons

[1] Baskonus H.M., Mahmud A.A., Muhamad K.A., Tanriverdi T., Gao W., Studying on Kudryashov-Sinelshchikov dynamical equation arising in mixtures liquid and gas bubbles, Thermal Science, 26(2B), 1229–1244, 2023. BaskonusH.M. MahmudA.A. MuhamadK.A. TanriverdiT. GaoW. Studying on Kudryashov-Sinelshchikov dynamical equation arising in mixtures liquid and gas bubbles Thermal Science 26 2B 1229 1244 2023 Search in Google Scholar

[2] Mahmud A.A., Tanriverdi T., Muhamad K.A., Exact traveling wave solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods, International Journal of Mathematics and Computer in Engineering, 1(1), 11–24, 2023. MahmudA.A. TanriverdiT. MuhamadK.A. Exact traveling wave solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods International Journal of Mathematics and Computer in Engineering 1 1 11 24 2023 Search in Google Scholar

[3] Muhamad K.A., Tanriverdi T., Mahmud A.A., Baskonus H.M., Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system, International Journal of Computer Mathematics, 100(6), 1340–1355, 2023. MuhamadK.A. TanriverdiT. MahmudA.A. BaskonusH.M. Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system International Journal of Computer Mathematics 100 6 1340 1355 2023 Search in Google Scholar

[4] Usman M., Hussain A., Zaman F.D., Invariance analysis of thermophoretic motion equation depicting the wrinkle propagation in substrate-supported Graphene sheets, Physica Scripta, 98(9), 095205, 2023. UsmanM. HussainA. ZamanF.D. Invariance analysis of thermophoretic motion equation depicting the wrinkle propagation in substrate-supported Graphene sheets Physica Scripta 98 9 095205 2023 Search in Google Scholar

[5] Hussain A., Usman M., Zaman F.D., Eldin S.M., Double reductions and traveling wave structures of the generalized Pochhammer-Chree equation, Partial Differential Equations in Applied Mathematics, 7, 100521, 2023. HussainA. UsmanM. ZamanF.D. EldinS.M. Double reductions and traveling wave structures of the generalized Pochhammer-Chree equation Partial Differential Equations in Applied Mathematics 7 100521 2023 Search in Google Scholar

[6] Hussain A., Usman M., Zaman F.D., Eldin S.M., Symmetry analysis and invariant solutions of Riabouchinsky Proudman Johnson equation using optimal system of Lie subalgebras, Results in Physics, 49, 106507, 2023. HussainA. UsmanM. ZamanF.D. EldinS.M. Symmetry analysis and invariant solutions of Riabouchinsky Proudman Johnson equation using optimal system of Lie subalgebras Results in Physics 49 106507 2023 Search in Google Scholar

[7] Johnson R.S., A non-linear equation incorporating damping and dispersion, Journal of Fluid Mechanics, 42(1), 49–60, 1970. JohnsonR.S. A non-linear equation incorporating damping and dispersion Journal of Fluid Mechanics 42 1 49 60 1970 Search in Google Scholar

[8] Isah M.A., Yokus A., Optical solitons of the complex Ginzburg-Landau equation having dual power nonlinear form using φ⁶-model expansion approach, Mathematical Modelling and Numerical Simulation with Applications, 3(3), 188–215, 2023. IsahM.A. YokusA. Optical solitons of the complex Ginzburg-Landau equation having dual power nonlinear form using φ⁶-model expansion approach Mathematical Modelling and Numerical Simulation with Applications 3 3 188 215 2023 Search in Google Scholar

[9] Tuluce Demiray S., Bayrakci U., A study on the solutions of (1+1)-dimensional Mikhailov-Novikov-Wang equation, Mathematical Modelling and Numerical Simulation with Applications, 3(2), 101–110, 2023. Tuluce DemirayS. BayrakciU. A study on the solutions of (1+1)-dimensional Mikhailov-Novikov-Wang equation Mathematical Modelling and Numerical Simulation with Applications 3 2 101 110 2023 Search in Google Scholar

[10] Hussain A., Chahlaoui Y., Zaman F.D., Parveen T., Hassan A.M., The Jacobi elliptic function method and its application for the stochastic NNV system, Alexandria Engineering Journal, 81, 347–359, 2023. HussainA. ChahlaouiY. ZamanF.D. ParveenT. HassanA.M. The Jacobi elliptic function method and its application for the stochastic NNV system Alexandria Engineering Journal 81 347 359 2023 Search in Google Scholar

[11] Usman M., Hussain A., Zaman F.D., Eldin S.M., Symmetry analysis and exact Jacobi elliptic solutions for the nonlinear couple Drinfeld Sokolov Wilson dynamical system arising in shallow water waves, Results in Physics, 51, 106613, 2023. UsmanM. HussainA. ZamanF.D. EldinS.M. Symmetry analysis and exact Jacobi elliptic solutions for the nonlinear couple Drinfeld Sokolov Wilson dynamical system arising in shallow water waves Results in Physics 51 106613 2023 Search in Google Scholar

[12] Hussain A., Usman M., Zaman F.D., Eldin S.M., Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard-Bishop model, Results in Physics, 50, 106586, 2023. HussainA. UsmanM. ZamanF.D. EldinS.M. Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard-Bishop model Results in Physics 50 106586 2023 Search in Google Scholar

[13] Akinyemi L., Şenol M., Iyiola O.S., Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method, Mathematics and Computers in Simulation, 182, 211–233, 2021. AkinyemiL. ŞenolM. IyiolaO.S. Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method Mathematics and Computers in Simulation 182 211 233 2021 Search in Google Scholar

[14] Ghanbari B., Inc M., A new generalized exponential rational function method to find exact special solutions for the resonance nonlinear Schrödinger equation, The European Physical Journal Plus, 133(4), 142, 2018. GhanbariB. IncM. A new generalized exponential rational function method to find exact special solutions for the resonance nonlinear Schrödinger equation The European Physical Journal Plus 133 4 142 2018 Search in Google Scholar

[15] Hussain A., Ali H., Zaman F., Abbas N., New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method, International Journal of Mathematics and Computer in Engineering, 2(1), 35–58, 2024. HussainA. AliH. ZamanF. AbbasN. New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method International Journal of Mathematics and Computer in Engineering 2 1 35 58 2024 Search in Google Scholar

[16] Usman M., Hussain A., Zaman F.D., Khan I., Eldin S.M., Reciprocal Bäcklund transformations and travelling wave structures of some nonlinear pseudo-parabolic equations, Partial Differential Equations in Applied Mathematics, 7, 100490, 2023. UsmanM. HussainA. ZamanF.D. KhanI. EldinS.M. Reciprocal Bäcklund transformations and travelling wave structures of some nonlinear pseudo-parabolic equations Partial Differential Equations in Applied Mathematics 7 100490 2023 Search in Google Scholar

[17] Hussain A., Usman M., Ahmed H.M.E., Ibrahim T.F., Tahir R.A., Hassan A.M., Symmetry analysis for the (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves, Alexandria Engineering Journal, 85, 9–18, 2023. HussainA. UsmanM. AhmedH.M.E. IbrahimT.F. TahirR.A. HassanA.M. Symmetry analysis for the (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves Alexandria Engineering Journal 85 9 18 2023 Search in Google Scholar

[18] Hussain A., Usman M., Al-Sinan B.R., Osman W.M., Ibrahim T.F., Symmetry analysis and closed-form invariant solutions of the nonlinear wave equations in elasticity using an optimal system of Lie subalgebra, Chinese Journal of Physics, 83, 1–13, 2023. HussainA. UsmanM. Al-SinanB.R. OsmanW.M. IbrahimT.F. Symmetry analysis and closed-form invariant solutions of the nonlinear wave equations in elasticity using an optimal system of Lie subalgebra Chinese Journal of Physics 83 1 13 2023 Search in Google Scholar

[19] Hussain A., Kara A.H., Zaman F.D., New exact solutions of the Thomas equation using symmetry transformations, International Journal of Applied and Computational Mathematics, 9(5), 106, 2023. HussainA. KaraA.H. ZamanF.D. New exact solutions of the Thomas equation using symmetry transformations International Journal of Applied and Computational Mathematics 9 5 106 2023 Search in Google Scholar

[20] Hussain A., Chahlaoui Y., Usman M., Zaman F.D., Park C., Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation, Scientific Reports, 13(1), 15383, 2023. HussainA. ChahlaouiY. UsmanM. ZamanF.D. ParkC. Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation Scientific Reports 13 1 15383 2023 Search in Google Scholar

[21] Usman M., Hussain A., Zaman F.D., Ibeas A., Almalki Y., Integrability properties of the Slepyan-Palmov model arising in the Slepyan-Palmov medium, Mathematics, 11(21), 4545, 2023. UsmanM. HussainA. ZamanF.D. IbeasA. AlmalkiY. Integrability properties of the Slepyan-Palmov model arising in the Slepyan-Palmov medium Mathematics 11 21 4545 2023 Search in Google Scholar

[22] Hussain A., Kara A.H., Zaman F.D., An invariance analysis of the Vakhnenko-Parkes equation, Chaos Solitons and Fractals, 171, 113423, 2023. HussainA. KaraA.H. ZamanF.D. An invariance analysis of the Vakhnenko-Parkes equation Chaos Solitons and Fractals 171 113423 2023 Search in Google Scholar

[23] Hussain A., Kara A.H., Zaman F.D., Symmetries associated first integrals and successive reduction of Schrödinger type and other second order difference equations, Optik, 287, 171080, 2023. HussainA. KaraA.H. ZamanF.D. Symmetries associated first integrals and successive reduction of Schrödinger type and other second order difference equations Optik 287 171080 2023 Search in Google Scholar

[24] Mahmud A.A., Tanriverdi T., Muhamad K.A., Baskonus H.M., Characteristic of ion-acoustic waves described in the solutions of the (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation, Journal of Applied Mathematics and Computational Mechanics, 22(2), 36–48, 2023. MahmudA.A. TanriverdiT. MuhamadK.A. BaskonusH.M. Characteristic of ion-acoustic waves described in the solutions of the (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation Journal of Applied Mathematics and Computational Mechanics 22 2 36 48 2023 Search in Google Scholar

[25] Mahmud A.A., Baskonus H.M., Tanriverdi T., Muhamad K.A., Optical solitary waves and soliton solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation, Computational Mathematics and Mathematical Physics, 63(6), 1085–1102, 2023. MahmudA.A. BaskonusH.M. TanriverdiT. MuhamadK.A. Optical solitary waves and soliton solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation Computational Mathematics and Mathematical Physics 63 6 1085 1102 2023 Search in Google Scholar

[26] Baskonus H.M., Mahmud A.A., Muhamad K.A., Tanriverdi T., A study on Caudrey-Dodd-Gibbon-Sawada-Kotera partial differential equation, Mathematical Methods in the Applied Sciences, 45(14), 8737–8753, 2022. BaskonusH.M. MahmudA.A. MuhamadK.A. TanriverdiT. A study on Caudrey-Dodd-Gibbon-Sawada-Kotera partial differential equation Mathematical Methods in the Applied Sciences 45 14 8737 8753 2022 Search in Google Scholar

[27] Hussain A., Usman M., Zaman F.D., Almalki Y., Lie group analysis for obtaining the abundant group invariant solutions and dynamics of solitons for the Lonngren-wave equation, Chinese Journal of Physics, 86, 447–457, 2023. HussainA. UsmanM. ZamanF.D. AlmalkiY. Lie group analysis for obtaining the abundant group invariant solutions and dynamics of solitons for the Lonngren-wave equation Chinese Journal of Physics 86 447 457 2023 Search in Google Scholar

[28] Al-Omari S.M., Hussain H., Usman M., Zaman F.D., Invariance analysis and closed-form solutions for the Beam equation in Timoshenko model, Malaysian Journal of Mathematical Sciences, 17(4), 587–610, 2023. Al-OmariS.M. HussainH. UsmanM. ZamanF.D. Invariance analysis and closed-form solutions for the Beam equation in Timoshenko model Malaysian Journal of Mathematical Sciences 17 4 587 610 2023 Search in Google Scholar

[29] Debin K., Rezazadeh H., Ullah N., Vahidi J., Tariq K.U., Akinyemi L., New soliton wave solutions of a (2+1)-dimensional Sawada-Kotera equation, Journal of Ocean Engineering and Science, 8(5), 527–532, 2023. DebinK. RezazadehH. UllahN. VahidiJ. TariqK.U. AkinyemiL. New soliton wave solutions of a (2+1)-dimensional Sawada-Kotera equation Journal of Ocean Engineering and Science 8 5 527 532 2023 Search in Google Scholar

[30] Triki H., Wazwaz A.M., Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term, Applied Mathematics and Computation, 217(21), 8846–8851, 2011. TrikiH. WazwazA.M. Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term Applied Mathematics and Computation 217 21 8846 8851 2011 Search in Google Scholar

[31] Khan K., Akbar M.A., Islam S.M.R., Exact solutions for (1+1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations, SpringerPlus, 3(1), 724, 2014. KhanK. AkbarM.A. IslamS.M.R. Exact solutions for (1+1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations SpringerPlus 3 1 724 2014 Search in Google Scholar

[32] Taşcan F., Akbulut A., Construction of exact solutions to partial differential equations with CRE method, Communications in Advanced Mathematical Sciences, II(2), 105–113, 2019. TaşcanF. AkbulutA. Construction of exact solutions to partial differential equations with CRE method Communications in Advanced Mathematical Sciences II 2 105 113 2019 Search in Google Scholar

[33] Kumar D., Joardar A.K., Hoque A., Paul G.C., Investigation of dynamics of nematicons in liquid crystals by extended sinh-Gordon equation expansion method, Optical and Quantum Electronics, 51, 212, 2019. KumarD. JoardarA.K. HoqueA. PaulG.C. Investigation of dynamics of nematicons in liquid crystals by extended sinh-Gordon equation expansion method Optical and Quantum Electronics 51 212 2019 Search in Google Scholar

[34] Yusufoğlu E., New solitonary solutions for the MBBM equations using Exp-function method, Physics Letters A, 372(4), 442–446, 2008. YusufoğluE. New solitonary solutions for the MBBM equations using Exp-function method Physics Letters A 372 4 442 446 2008 Search in Google Scholar

[35] Zafar Z.U.A., Akinyemi L., Rezazadeh H., Inc M., Non-topological, topological and rogue wave soliton solutions for Sharma Tasso Olver equation, Journal of Ocean Engineering and Science, DOI:10.1016/j.joes.2022.04.028, 2024. ZafarZ.U.A. AkinyemiL. RezazadehH. IncM. Non-topological, topological and rogue wave soliton solutions for Sharma Tasso Olver equation Journal of Ocean Engineering and Science 10.1016/j.joes.2022.04.028 2024 Open DOISearch in Google Scholar

[36] Kudryashov N.A., Sinelshchikov D.I., Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer, Physics Letters A, 374(19–20), 2011–2016, 2010. KudryashovN.A. SinelshchikovD.I. Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer Physics Letters A 374 19–20 2011 2016 2010 Search in Google Scholar

[37] Akram G., Sadaf M., Dawood M., Kink periodic dark and bright soliton solutions of Kudryashov-Sinelshchikov equation using the improved tan(ϕ(η)2) \tan (\frac{{\phi (\eta )}}{2}) -expansion technique, Optical and Quantum Electronics, 53, 480, 2021. AkramG. SadafM. DawoodM. Kink periodic dark and bright soliton solutions of Kudryashov-Sinelshchikov equation using the improved tan(ϕ(η)2) \tan (\frac{{\phi (\eta )}}{2}) -expansion technique Optical and Quantum Electronics 53 480 2021 Search in Google Scholar