Title | ||
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Maple packages for computing Hirota’s bilinear equation and multisoliton solutions of nonlinear evolution equations |
Abstract | ||
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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 Zhou | 1 | 8 | 1.58 |
Jing-zhi Fu | 2 | 8 | 1.58 |
Zhibin Li | 3 | 115 | 23.77 |