Title
Multi-soliton and Pfaffian solutions of a (2 + 1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy.
Abstract
Under investigation in this paper is a (2+1)-dimensional nonlinear evolution equation generated by the Jaulent–Miodek hierarchy. Via the Hirota bilinear method, multi-soliton solutions of such equation are obtained. Soliton propagation and interactions are analyzed, and both the elastic and inelastic interactions are seen with some parameters selected. Furthermore, it is proved that the equation possesses the N-soliton solutions expressed in terms of Gramm-type Pfaffian, and can be written in the form of a Pfaffian identity.
Year
DOI
Venue
2012
10.1016/j.amc.2012.03.054
Applied Mathematics and Computation
Keywords
Field
DocType
Jaulent–Miodek hierarchy,Bilinear form,Soliton interaction,N-soliton solution,Pfaffian,Symbolic computation
Soliton,Bilinear form,Nonlinear system,Mathematical analysis,Symbolic computation,Pfaffian,Hierarchy,Mathematics,Bilinear interpolation,One-dimensional space
Journal
Volume
Issue
ISSN
218
22
0096-3003
Citations 
PageRank 
References 
1
0.40
2
Authors
4
Name
Order
Citations
PageRank
Gao-Qing Meng1103.22
Yi-Tian Gao24214.96
Xin Yu3186.22
Yi Qin439845.11