Construction of soliton solutions of the matrix modified Korteweg-de Vries equation
Abstract
An explicit solution formula for the matrix modified KdV equation is presented, which comprises the solutions given in Ref. 7 (S. Carillo, M. Lo Schiavo, and C. Schiebold. Matrix solitons solutions of the modified Korteweg-de Vries equation. In: Nonlinear Dynamics of Structures, Systems and Devices, edited by W. Lacarbonara, B. Balachandran, J. Ma, J. Tenreiro Machado, G. Stepan (Springer, Cham, 2020), pp. 75-83). In fact, the solutions in Ref.7 are part of a subclass studied in detail by the authors in a forthcoming publication. Here several solutions beyond this subclass are constructed and discussed with respect to qualitative properties.
Keywords
Cite
@article{arxiv.2011.12677,
title = {Construction of soliton solutions of the matrix modified Korteweg-de Vries equation},
author = {Sandra Carillo and Cornelia Schiebold},
journal= {arXiv preprint arXiv:2011.12677},
year = {2023}
}
Comments
10 pages, 6 figures, Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021), W. Lacarbonara et al, Ed.s