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NOTE ON THE TWO-COMPONENT ANALOGUE OF TWO-DIMENSIONAL LONG WAVE – SHORT WAVE RESONANCE INTERACTION SYSTEM

Published online by Cambridge University Press:  01 February 2009

KEN-ICHI MARUNO ,
YASUHIRO OHTA  and
MASAYUKI OIKAWA
KEN-ICHI MARUNO
Affiliation:
Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78541, USA e-mail: kmaruno@utpa.edu
YASUHIRO OHTA
Affiliation:
Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
MASAYUKI OIKAWA
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga, Fukuoka, 816-8580, Japan
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Abstract

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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.

Keywords

35Q5135Q5537K40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue A , February 2009 , pp. 129 - 135
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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