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Multi-soliton solution, rational solution of the Boussinesq–Burgers equations

✍ Scribed by A.S. Abdel Rady; E.S. Osman; Mohammed Khalfallah

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
252 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper we consider the Boussinesq-Burgers equations and establish the transformation which turns the Boussinesq-Burgers equations into the single nonlinear partial differential equation, then we obtain an auto-Bäcklund transformation and abundant new exact solutions, including the multi-solitary wave solution and the rational series solutions. Besides the new trigonometric function periodic solutions are obtained by using the generalized tan h method.

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