变形色散水波方程的Auto-Backlund变换、多孤子解和有理分式解

Abstract

Abstract:

In this paper, by using the unknown function transformation and with the aid of Mathematica, auto-Backlund transformation of the modified dispersive water waves equations is obtained, and Darboux transformations between it、heat equation and linear equation are derived. Based on these results, multisoliton solutions、rational fraction solutions and other exact solutions for the equations are found. This way can be also applied to other nonlinear equations.

Key words: Modified dispersive water waves equation, Unknown function transformation, Auto-Backlund transformation, Darboux transformation, Exact solution, Multi-soliton solution

CLC Number:

Yan Zhenya Zhang Hongqing. Auto-Backlund Transformation、Multi-Soliton Solutions and Rational Fraction Solutions for the Modified Dispersive Water Waves Equations[J].Acta mathematica scientia,Series A, 2000, 20(2): 210-215.

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Auto-Backlund Transformation、Multi-Soliton Solutions and Rational Fraction Solutions for the Modified Dispersive Water Waves Equations

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