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2014 Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation
Qing Meng, Bin He
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/130520

Abstract

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 are presented. Also, the coexistence of peakon and solitary wave solutions is investigated.

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Qing Meng. Bin He. "Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/130520

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010548
MathSciNet: MR3176811
Digital Object Identifier: 10.1155/2014/130520

Rights: Copyright © 2014 Hindawi

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