Long-wave short-wave resonance case for a generalized Davey–Stewartson system

Ceni Babaoglu

Chaos, Solitons & Fractals, 2008, vol. 38, issue 1, 48-54

Abstract: It is observed that the generalized Davey–Stewartson equations are not valid for a long-wave short-wave resonance case. In the case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse wave, new (2+1) dimensional evolution equations, called the long-wave short-wave interaction equations, are derived to describe the resonance case. The special solutions of the long-wave short-wave interaction equations are also obtained in terms of Jacobian elliptic functions.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:1:p:48-54

DOI: 10.1016/j.chaos.2008.02.007

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