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2013 Further Results on the Traveling Wave Solutions for an Integrable Equation
Chaohong Pan, Zhengrong Liu
J. Appl. Math. 2013: 1-6 (2013). DOI: 10.1155/2013/681383

Abstract

The objective of this paper is to extend some results of pioneers for the nonlinear equation mt=(1/2)(1/mk)xxx(1/2)(1/mk)x introduced by Qiao. The equivalent relationship of the traveling wave solutions between the integrable equation and the generalized KdV equation is revealed. Moreover, when k=(p/q) (pq and p,q+), we obtain some explicit traveling wave solutions by the bifurcation method of dynamical systems.

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Chaohong Pan. Zhengrong Liu. "Further Results on the Traveling Wave Solutions for an Integrable Equation." J. Appl. Math. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/681383

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.37032
MathSciNet: MR3035172
Digital Object Identifier: 10.1155/2013/681383

Rights: Copyright © 2013 Hindawi

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