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

被引：157

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：

中国国家自然科学基金; 上海市自然科学基金;

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

页码：2233 / 2240

页数：8

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