Title
Maple packages for computing Hirota’s bilinear equation and multisoliton solutions of nonlinear evolution equations
Abstract
The Hirota method for generating Hirota’s bilinear equation and constructing soliton solutions of nonlinear evolution equations is discussed and illustrated. Two Maple programs Bilinearization and Multisoliton are presented to automatically calculate Hirota’s bilinear equations for nonlinear evolution equations and to compute their N-soliton solutions for N=1,2 or 3, respectively. Different kinds of examples are used to demonstrate the effectiveness of the packages.
Year
DOI
Venue
2010
10.1016/j.amc.2010.05.012
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear evolution equation,Soliton solution,Hirota bilinear method,Symbolic computation
Soliton,Maple,Nonlinear system,Algebra,Mathematical analysis,Symbolic computation,System of bilinear equations,Numerical analysis,Evolution equation,Mathematics,Bilinear interpolation
Journal
Volume
Issue
ISSN
217
1
0096-3003
Citations 
PageRank 
References 
5
0.84
3
Authors
3
Name
Order
Citations
PageRank
Zhen-jiang Zhou181.58
Jing-zhi Fu281.58
Zhibin Li311523.77