Exact N-envelope-soliton solutions of the Hirota equation
Mathematical Physics
2014-03-17 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We discuss some properties of the soliton equations of the type, partial derivative u/partial derivative t = S [u, (u) over bar], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations. On using the theorems, we can construct a new soliton equation through two soliton equations with similar properties. Meanwhile, exact N-envelope-soliton solutions of the Hirota equation are derived through the trace method.
Keywords
Cite
@article{arxiv.1403.3645,
title = {Exact N-envelope-soliton solutions of the Hirota equation},
author = {Jian-Jun Shu},
journal= {arXiv preprint arXiv:1403.3645},
year = {2014}
}