Article ID Journal Published Year Pages File Type
759554 Communications in Nonlinear Science and Numerical Simulation 2008 10 Pages PDF
Abstract

Using the method of planar dynamical systems to the mK(n, n) equation, the existence of uncountably infinite many smooth and non-smooth periodic wave solutions, solitary wave solutions and kink and anti-kink wave solutions is proved. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All possible exact explicit parametric representations of smooth and non-smooth travelling wave solutions are obtain.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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