Title
M-lump solutions to a (3+1)-dimensional nonlinear evolution equation.
Abstract
This paper aims at computing the M-lump solutions which decay to a uniform state in all directions for a (3+1)-dimensional nonlinear evolution equation. These solutions are constructed by taking a “long wave” limit of the corresponding N-soliton solutions obtained by direct methods. The dynamic properties of M-lump solutions describing multiple collisions of lumps are presented. In addition, we investigate the interaction between stripe solitons and lumps which is further discussed implying that lumps will be drowned or swallowed by the stripe solitons. Finally the dynamic properties of interactive wave solutions are graphically depicted by choosing the values of parameters.
Year
DOI
Venue
2018
10.1016/j.camwa.2018.04.039
Computers & Mathematics with Applications
Keywords
Field
DocType
Lump solution,Stripe soliton, (3+1)-dimensional nonlinear evolution equation
Soliton,Nonlinear system,Mathematical analysis,Direct methods,Evolution equation,Mathematics,One-dimensional space
Journal
Volume
Issue
ISSN
76
3
0898-1221
Citations 
PageRank 
References 
0
0.34
7
Authors
3
Name
Order
Citations
PageRank
yan zhang16720.55
Yinping Liu2249.15
Xiaoyan Tang300.34