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Exact N-envelope-soliton solutions of the Hirota equation

Shu J.-J.

Optica Applicata

2003

Vol. 33, nr 2-3

539-546

We discuss some properties of the soliton equations of the type ś u/ś t = S[u, u], 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.