Extend three-wave method for the (1+2)-dimensional Ito equation

In this work, Extend three-wave method (ETM) is used to construct the novel multi-wave solutions of the (1+2)-dimensional Ito equation. As a result, three-soliton solution, doubly periodic solitary wave solutions, periodic two solitary wave solutions are obtained. It is shown that the Extend three-w...

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Veröffentlicht in:	Applied mathematics and computation 2010-11, Vol.217 (5), p.2295-2300
Hauptverfasser:	Zhao, Zhanhui, Dai, Zhengde, Wang, Chuanjian
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Construction Doubly periodic solitary wave Exact sciences and technology Extended three-wave method Global analysis, analysis on manifolds Hirota bilinear method Ito equation Mathematical analysis Mathematical models Mathematics Nonlinear evolution equations Numerical analysis Numerical analysis. Scientific computation Partial differential equations Sciences and techniques of general use Solitary waves Three-wave solution Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Beschreibung
Zusammenfassung:	In this work, Extend three-wave method (ETM) is used to construct the novel multi-wave solutions of the (1+2)-dimensional Ito equation. As a result, three-soliton solution, doubly periodic solitary wave solutions, periodic two solitary wave solutions are obtained. It is shown that the Extend three-wave method may provide us with a straightforward and effective mathematical tool for seeking multi-wave solutions of higher dimensional nonlinear evolution equations.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.06.059