Note on the 2-component Analogue of 2-dimensional Long Wave-Short Wave Resonance Interaction System

Details Note on the 2-component Analogue of 2-dimensional Long Wave-Short Wave Resonance Interaction System Note on the 2-component Analogue of 2-dimensional Long Wave-Short Wave Resonance Interaction System

2008-12-25

arxiv.org/abs/0812.4591v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, 10 figures. To appear, Glasgow Mathematical Journal

Scientific paper

An integrable two-component analogue of the two-dimensional long wave-short
wave resonance interaction (2c-2d-LSRI) system is studied. Wronskian solutions
of 2c-2d-LSRI system are presented. A reduced case, which describes resonant
interaction between an interfacial wave and two surface wave packets in a two
layer fluid, is also discussed.

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