Backlund transformation, multiple wave solutions and lump solutions to a (3+1)-dimensional nonlinear evolution equation

被引：155
|
作者：
Gao, Li-Na [1 ]
Zi, Yao-Yao [1 ]
Yin, Yu-Hang [1 ]
Ma, Wen-Xiu [2 ,3 ,4 ]
Lu, Xing [1 ]
机构：
[1] Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[4] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus,Private Bag X 2046, ZA-2735 Mmabatho, South Africa
来源：
NONLINEAR DYNAMICS | 2017年 / 89卷 / 03期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Backlund transformation; Nonresonant multiple wave solutions; Lump solution; Symbolic computation; HIROTA BILINEAR EQUATION; RATIONAL SOLUTIONS; SCHRODINGER-EQUATION; SOLITONS; MEDIA;
D O I：
10.1007/s11071-017-3581-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a (3+1)-dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation. A bilinear Backlund transformation is then presented, which consists of six bilinear equations and involves nine arbitrary parameters. With multiple exponential function method and symbolic computation, nonresonant-typed one-, two-, and three-wave solutions are obtained. Furthermore, two classes of lump solutions to the dimensionally reduced cases with y = x and y = z are both derived. Finally, some figures are given to reveal the propagation of multiple wave solutions and lump solutions.
引用
收藏
页码：2233 / 2240
页数：8
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