New three-wave solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

New three-wave solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
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(3 1) 维 Boiti-Leon-Manna-Pempinelli 方程的新三波解

DOI:
10.1007/s11071-016-3267-2
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发表时间:
2017
期刊:
影响因子:
5.6
通讯作者:
Nie Bin
Nie Bin
中科院分区:
工程技术2区
文献类型:
--
作者:
Liu Jian-Guo;Du Jian-Qiang;Zeng Zhi-Fang;Nie Bin

文献摘要

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基于扩展三波方法和Hirota双线性方法,研究了(3+1)维Boiti-Leon-Manna-Pempinelli方程。借助于符号计算,给出了弯曲周期孤子解、周期孤子解和弯曲解等三波解。这些解对应的图形显示了丰富的物理结构。这些解丰富了非线性波动模型动力学的种类。
Based on the extended three-wave approach and the Hirota’s bilinear method, the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation is investigated. With the aid of symbolic computation, some three-wave solutions including kinky periodic solitary-wave solutions, periodic soliton solutions and kink solutions are presented. The figures corresponding to these solutions are illustrated to show abundant physics structures. These solutions enrich the sorts of the dynamics of nonlinear wave model.