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

Jiang Yan; Tian Bo; Liu Wenjun; Sun Kun; Liu Licai

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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

Jiang Yan,Tian Bo *,Liu Wenjun,Sun Kun,Liu Licai

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876

*Correspondence author

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Funding: Specialized Research Fund for theDoctoral Program of Higher Education （No.200800130006）, National Basic Research Program of China(973 Program) （No.2010CB923200）, Fundamental Research Funds for the Central Universitiesof China （No.2011BUPTYB02）, National Natural Science Foundation of China（No.60772023）

Opened online: 7 February 2012

Accepted by: none

Citation: Jiang Yan,Tian Bo,Liu Wenjun.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[OL]. [ 7 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4462064

Under investigation in this paper are the (2+1)-dimensionaltwo-component long wave-short wave resonance interaction equations,which can be used to describe the resonance interaction between along interfacial gravity wave and two short surface gravity packetspropagating in a two-layer fluid. Via the Hirota method and symboliccomputation, analytic mixed-type one- and two-soliton solutions arederived. Soliton interactions are investigated analytically andgraphically. Oblique and parallel interactions between two solitons are observed.Relevant parameter conditions are presented.

Keywords:Partial differential equation;(2+1)-dimensional two-component longwave-short wave resonance interaction equations;Mixed-typed soliton solution;Hirota method;Symbolic computation

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