On soliton solutions of the (2+1) dimensional Boussinesq equation

The repeated homogeneous balance method is used to construct exact traveling wave solutions of the (2+1) dimensional Boussinesq equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. Many new...

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Veröffentlicht in:	Applied mathematics and computation 2012-12, Vol.219 (8), p.3414-3419
Hauptverfasser:	Abdel Rady, A.S., Osman, E.S., Khalfallah, Mohammed
Format:	Artikel
Sprache:	eng
Schlagworte:	Boussinesq equation Boussinesq equations Differential equations Homogeneous balance method Mathematical analysis Mathematical models Nonlinear evolution equations Riccati equation Soliton solutions Solitons Traveling wave solutions Traveling waves
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Zusammenfassung:	The repeated homogeneous balance method is used to construct exact traveling wave solutions of the (2+1) dimensional Boussinesq equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. Many new exact traveling wave solutions are successfully obtained. This method is straightforward and concise, and it can be also applied to other nonlinear evolution equations.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2009.05.028