Note on the two-component analogue of two-dimensional long wave – short wave resonance interaction system

Ken Ichi Maruno; Yasuhiro Ohta; Masayuki Oikawa

doi:10.1017/S0017089508004849

Note on the two-component analogue of two-dimensional long wave – short wave resonance interaction system

Ken Ichi Maruno, Yasuhiro Ohta, Masayuki Oikawa

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	129-135
Number of pages	7
Journal	Glasgow Mathematical Journal
Volume	51
Issue number	A
DOIs	https://doi.org/10.1017/S0017089508004849
Publication status	Published - 2009
Externally published	Yes

Keywords

35Q51
35Q55
37K40

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S0017089508004849

Cite this

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title = "Note on the two-component analogue of two-dimensional long wave – short wave resonance interaction system",

abstract = "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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AU - Maruno, Ken Ichi

AU - Ohta, Yasuhiro

AU - Oikawa, Masayuki

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - 35Q51

KW - 35Q55

KW - 37K40

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DO - 10.1017/S0017089508004849

M3 - Article

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JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - A

ER -

Note on the two-component analogue of two-dimensional long wave – short wave resonance interaction system

Abstract

Keywords

ASJC Scopus subject areas

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