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arXiv · 1403.3645

Exact N-envelope-soliton solutions of the Hirota equation

Jian-Jun Shu
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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.

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Jian-Jun Shu. 2014-03-14. Exact N-envelope-soliton solutions of the Hirota equation. https://arxiv.org/abs/1403.3645

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