SOLITON SOLUTIONS FOR NON-LINEAR DISPERSIVE WAVE EQUATIONS WITH VARIABLE-COEFFICIENTS
Keywords:
dispersive wave equations, multiple soliton solution, hirota bilinear methodAbstract
In this paper, we study the solitary wave solution for the variable-coefficient non-linear dispersive wave equation. We develop a simplified bilinear method to construct the multi-soliton solutions for such an equation. We prove that the proposed scheme is effective and easy to implement. Finally, effects of the inhomogeneities of media on the soliton behavior are discussed with the aid of the characteristic curve method and graphical analysis.
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Published
2018-07-31
How to Cite
Abu-Falahah, I. (2018). SOLITON SOLUTIONS FOR NON-LINEAR DISPERSIVE WAVE EQUATIONS WITH VARIABLE-COEFFICIENTS. Italian Journal of Pure and Applied Mathematics, 40, 61–67. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7057
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Section
Articoli - Forum Editrice
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Copyright (c) 2018 Ibraheem Abu-Falahah
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
