Multisoliton solutions via a separation of variables
Exactly Solvable and Integrable Systems
2021-05-19 v1 Mathematical Physics
math.MP
Abstract
It is shown that multisoliton solutions of several well known nonlinear PDEs(x, t) can be obtained by certain separation of variables: each n-soliton arises from a mutual solution of a nonlinear ODE(x), common for all NPDEs considered, and linear PDE(x, t) with the linear operator from the NPDE in question.
Cite
@article{arxiv.2105.08226,
title = {Multisoliton solutions via a separation of variables},
author = {B. P. Ryssev},
journal= {arXiv preprint arXiv:2105.08226},
year = {2021}
}
Comments
10 pages