2+1维二元模拟长短波共振方程的混合型孤子和孤子相互作用
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
本文研究了一个2+1维二元模拟长短波共振方程,该方程能用于描述在两层流体中传输的一个长的界面重力波和两个短的表面重力波之间的共振相互作用。运用双线性方法和符号计算,该方程混合型的单孤子和双孤子解被解析地得到。基于得到的孤子解,孤子间的相互作用被解析和图像地加以分析。例如双孤子之间的斜碰撞和平行碰撞,并且相应的参数条件也被给出。
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.
孙鲲、田播、刘文军、江彦、刘立才
物理学力学
偏微分方程2+1维二元模拟长短波共振方程混合型孤子解双线性方法符号计算
Partial differential equation(2+1)-dimensional two-component longwave-short wave resonance interaction equationsMixed-typed soliton solutionHirota methodSymbolic computation
孙鲲,田播,刘文军,江彦,刘立才.2+1维二元模拟长短波共振方程的混合型孤子和孤子相互作用[EB/OL].(2012-02-07)[2025-08-05].http://www.paper.edu.cn/releasepaper/content/201202-93.点此复制
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