NOTE ON THE TWO-COMPONENT ANALOGUE OF TWO-DIMENSIONAL LONG WAVE – SHORT WAVE RESONANCE INTERACTION SYSTEM-Reference-Cited by-同舟云学术

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

Published:2009-02 Issue:A Volume:51 Page:129-135
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

MARUNO KEN-ICHI,OHTA YASUHIRO,OIKAWA MASAYUKI

Abstract

AbstractAn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method

2. On the theory of two-dimensional stationary self-focusing of electromagnetic waves;Manakov;Sov. Phys. JETP,1974

3. Soliton interactions in the vector NLS equation

4. Inelastic collision and switching of coupled bright solitons in optical fibers

5. Modulational Instability in Crossing Sea States: A Possible Mechanism for the Formation of Freak Waves

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Comment on ‘Painlev´e Integrability and Multi-wave pattern for (2+1) dimensional long wave-Short wave resonance interaction system’;2022-08-12

2. Painlevé integrability and multi-wave pattern for (2+1)-dimensional long wave–short wave resonance interaction system;Nonlinear Dynamics;2022-05-25

3. Mixed-type solitons and soliton interaction for the (2+1)-dimensional two-component long wave–short wave resonance interaction equations in a two-layer fluid through the Bell polynomials;Applied Mathematics Letters;2016-03

4. Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach;Symmetry, Integrability and Geometry: Methods and Applications;2011-04-23

5. Bright-Dark Soliton Interaction in a Multi-Mode Optical Fiber and the Completely Integrable Zakharov-Yajima-Oikawa System;AIP Conference Proceedings;2011