Nonlinear localized waves resonance and interaction solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Nonlinear localized waves resonance and interaction solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
复制标题
(3 1) 维 Boiti-Leon-Manna-Pempinelli 方程的非线性局域波共振和相互作用解
DOI：
10.1007/s11071-020-05573-y
复制
发表时间：
2020
影响因子：
5.6
通讯作者：
Wang Deng-Shan
中科院分区：
文献类型：
--
作者：
Wu Juanjuan;Liu Yaqing;Piao Linhua;Zhuang Jianhong;Wang Deng-Shan
本文研究不可压缩流体中（3+1）维Boiti-Leon-Manna-Pempinelli方程的局部化波。利用Hirota的双线性方法，构造了Boiti-Leon-Manna-Pempinelli方程的N孤子解.通过对N孤子解选取适当的参数，得到了新的非线性波现象，并详细研究了不同类型的孤立波的时间演化。丰富的弹性相互作用的分析和图形说明。更具体地说，非弹性相互作用，即，通过选取扭结孤子和呼吸子的特殊参数，构造了孤立波的融合和分裂。参数对传播的影响的分析显示在三个表中。结果在流体力学中具有潜在的应用。
This paper deals with localized waves in the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in the incompressible fluid. Based on Hirota’s bilinear method,N-soliton solutions related to Boiti–Leon–Manna–Pempinelli equation are constructed. Novel nonlinear wave phenomena are obtained by selecting appropriate parameters toN-soliton solutions, and time evolutions of different kinds of solitary waves are investigated in detail. Rich elastic interactions are illustrated analytically and graphically. More specifically, the inelastic interactions, i.e., fusion and fission of solitary waves, are constructed by choosing special parameters on kink solitons and breathers. The analysis of the influence of parameters on propagation is revealed in three tables. The results have potential applications in fluid mechanics.