Solitons of the Jimbo-Miwa Equation through the Sine-Gordon Expansion Scheme
Md. Motaleb Hossain, Mousumi Akhter
Journal of Advances in Mathematics and Computer Science · pp. 24–31 · Published 23 Jan 2023
10.9734/jamcs/2023/v38i21743Abstract
In this paper, we extract some novel solitary wave solutions in terms of hyperbolic functions to the Jimbo-Miwa model. The sine-Gordon expansion method is used to investigate the proposed model. By using graphical analysis, we show the impact the solution’s which are very impactful to explain the nature of the solitary wave. We believe that the findings of the current work will be useful in the field of solitons and solitary waves.
References (16)
- 1 Solitons, Nonlinear Evolution Equations and Inverse Scattering [DOI]
- 2 Solitons and Infinite Dimensional Lie Algebras [DOI]
- 3 Partial Differential Equations and Solitary Waves Theory [DOI]
- 4 Lump-Type Solutions to the (3+1)-Dimensional Jimbo-Miwa Equation [DOI]
- 5 The mathematical and wave profile analysis of the Maccari system in nonlinear physical phenomena [DOI]
- 6 Variable separation solutions for the -dimensional Jimbo–Miwa equation [DOI]
- 7 New (3+1)-dimensional nonlinear evolution equations with mKdV equation constituting its main part: Multiple soliton solutions [DOI]
- 8 Nonlinear evolution-type equations and their exact solutions using inverse variational methods [DOI]
- 9 A KdV6 hierarchy: Integrable members with distinct dispersion relations [DOI]
- 10 Multiple soliton solutions for some (3+1 )-dimensional nonlinear models generated by the Jaulent–Miodek hierarchy [DOI]
- 11 New symmetric bidirectional progressive surface-wave solutions to a generalized fourth-order nonlinear partial differential equation involving second-order time-derivative [DOI]
- 12 Transcendental surface wave to the symmetric regularized long-wave equation [DOI]
- 13 Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations [DOI]
- 14 Soliton solutions of the dispersive sine-Gordon and the dispersive sinh-Gordon equations with fourth spatial or spatio-temporal derivatives [DOI]
- 15 Conservation laws and exact solutions of the $(3+1)$-dimensional Jimbo–Miwa equation [DOI]
- 16 Journal of King Saud University – Science [DOI]
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