Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation

被引：15
|
作者：
Liu, Wenhao [1 ]
Zhang, Yufeng [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 04期
关键词：
(3+1)-dimensional KP-Boussinesq equation; Rogue waves; Nonlinear system; HIROTAS BILINEAR METHOD; LUMP SOLUTIONS; RATIONAL SOLUTIONS; BACKLUND TRANSFORMATION; SOLITON SOLUTIONS;
D O I：
10.1007/s00033-019-1159-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on a symbolic computation approach and the Hirota's bilinear method, the multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation, which can be regarded as a generalization of the generalized rational solutions of Boussinesq equation proposed by Clarkson and Dowie, are constructed. The first-order, second-order, third-order and fourth-order rogue waves are systematically discussed. Moreover, the maximal amplitude and the minimum amplitude of the first-order rogue wave solutions are given. By choosing some specific parameters of these rogue wave solutions, their dynamic behaviors are analyzed.
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收藏
页数：12
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