Further Results on the Traveling Wave Solutions for an Integrable Equation

Chaohong Pan and Zhengrong Liu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: The objective of this paper is to extend some results of pioneers for the nonlinear equation mt=(12)/(1/mk)xxx−(12)/(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) (p ≠ q and p, q ∈ ℤ+), we obtain some explicit traveling wave solutions by the bifurcation method of dynamical systems.

Date: 2013
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https://doi.org/10.1155/2013/681383

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:681383

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