| Issue |
ITM Web Conf.
Volume 49, 2022
International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
|
|
|---|---|---|
| Article Number | 01001 | |
| Number of page(s) | 8 | |
| Section | Applied Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20224901001 | |
| Published online | 16 November 2022 | |
The generalized semidiscrete cmKdV system and the periodic reduction
University of Craiova, 13 A.I. Cuza, 200585, Craiova, Romania
* e-mail: babalic.corina@ucv.ro
The complete integrability of a multicomponent differentialdifference complex mKdV system with branched dispersion relation is proven. We use two approaches for this purpose. The first one is the Hirota bilinear formalism that helps us construct the multi-soliton solutions for a system of any M coupled equations. The same soliton solutions can be obtained through the periodic reduction approach, which has as a starting point a two-dimensional semidiscrete cmKdV equation. Plots of multi-solitons are also presented.
© The Authors, published by EDP Sciences, 2022
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