Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation

We consider a modification of the K(2,2) equation ut=2uuxxx+2kuxuxx+2uux using the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, some peakons, solitary, and smooth periodic waves are found and their exact parametric representations ar...

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Bibliographic Details
Main Authors: Qing Meng, Bin He
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/130520