A new algorithm for constructing soliton solution and its implementation

doi:10.3969/j.issn.1000-5641.2016.06.014

Abstract

Abstract:

Combined with the Painlev´e test, the simple Hirota method was improved. The improved algorithm can be applied to more equations. Based on this method, a
software named ZASP was developed with the aid of the symbolic computation software Maple. ZASP can solve nonlinear evolution equation automatically. By applying it to several examples, it can be seen that the program ZASP is an effective and efficient tool for calculating soliton solutions of nonlinear evolution equations.

Key words: simplified Hirota method, nonlinear evolution equation, soliton solution

ZHAO Wen-qiang, LIU Yin-ping. A new algorithm for constructing soliton solution and its implementation[J]. Journal of East China Normal University(Natural Sc, doi: 10.3969/j.issn.1000-5641.2016.06.014.

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