New Solitary Wave Solution of the Combined KdV and mKdV Equation

Author: Zhang J.  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.37, Iss.5, 1998-05, pp. : 1541-1546

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Abstract

This paper presents two different methods for the construction of new exact solitary wave solutions to the combined KdV and mKdV equation. There exist 12 types of soliton solutions which reduce to those of the mKdV equation. There exist three types of solurion solutions which reduce to those of the KdV equation.