Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System

Huixian Cai, Chaohong Pan and Zhengrong Liu

Abstract and Applied Analysis, 2014, vol. 2014, 1-20

Abstract:

We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system called system. We reveal some interesting bifurcation phenomena as follows. (1) For system, the fractional solitary waves can be bifurcated from the trigonometric periodic waves and the elliptic periodic waves, and the kink waves can be bifurcated from the solitary waves and the singular waves. (2) For system, the compactons can be bifurcated from the solitary waves, and the peakons can be bifurcated from the solitary waves and the singular cusp waves. (3) For system, the solitary waves can be bifurcated from the smooth periodic waves and the singular periodic waves.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:189486

DOI: 10.1155/2014/189486

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