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Research Article Open access CC BY 3.0

Solitary Wave, Periodic Cusp Wave and Compactons of the (2+1)-Dimensional KP-Like K(m,n) Equation

Libing Zeng, Shengqiang Tang

Journal of Advances in Mathematics and Computer Science · pp. 163–175 · Published 13 Oct 2012

10.9734/BJMCS/2012/1420

Abstract

By using the bifurcation theory of dynamical systems to the generalized KP equation, under different parametric conditions, various sufficient conditions to guarantee the existence of the solitary wave solutions, periodic cusp wave solutions and compactons solutions are given. Some exact explicit parametric representations of the above waves are determined.

Solitary wave periodic cusp wave compactons (2 1)-dimensional KP-like K(m,n) equation.

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