Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves
Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves
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DOI：
10.1016/j.apm.2019.04.044
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发表时间：
2019-10
影响因子：
5
通讯作者：
Y. Hua;B. Guo;W. Ma;W. Ma;W. Ma;Xing Lü
中科院分区：
文献类型：
--
作者：
Y. Hua;B. Guo;W. Ma;W. Ma;W. Ma;Xing Lü
本文研究了一类广义（2+1）维Hirota双线性方程的相互作用行为。通过符号计算，在双线性方程中混合两个正二次函数和一个指数函数，或两个正二次函数和一个双曲余弦函数，得到了两类相互作用解：集中扭结解和集中孤子解.研究了块体与条形体之间的完全非弹性相互作用，表明块体被条形体淹没或变浅。同时给出了光团从孤子的一个分支运动到另一个分支时光团与孤子之间的相互作用。这些现象揭示了非线性波的动力学过程，其解对于研究浅水、等离子体、非线性光学和玻色-爱因斯坦凝聚体中非线性波的相互作用行为具有重要意义。
In this paper, we focus on the interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation. With symbolic computation, two types of interaction solutions including lump-kink and lump-soliton ones are derived through mixing two positive quadratic functions with an exponential function, or two positive quadratic functions with a hyperbolic cosine function in the bilinear equation. The completely non-elastic interaction between a lump and a stripe is presented, which shows the lump is drowned or shallowed by the stripe. The interaction between lump and soliton is also given, where the lump moves from one branch to the other branch of the soliton. These phenomena exhibit the dynamics of nonlinear waves and the solutions are useful for the study on interaction behavior of nonlinear waves in shallow water, plasma, nonlinear optics and Bose–Einstein condensates.