Exact Explicit Traveling Wave Solution for the Generalized (2+1)-Dimensional Boussinesq Equation | Zendy

Libing Zeng | Zendy; Keding Qin | Zendy; Shengqiang Tang | Zendy

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Exact Explicit Traveling Wave Solution for the Generalized (2+1)-Dimensional Boussinesq Equation

Author(s) -

Libing Zeng,

Keding Qin,

Shengqiang Tang

Publication year - 2011

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2011/419678

Subject(s) - hyperbolic function , traveling wave , trigonometric functions , partial differential equation , mathematics , sine , mathematical analysis , nonlinear system , sine gordon equation , exact solutions in general relativity , physics , soliton , geometry , quantum mechanics

The sine-cosine method and the extended tanh method are used to construct exact solitary patterns solution and compactons solutions of the generalized (2+1)-dimensional Boussinesq equation. The compactons solutions and solitary patterns solutions of the generalized (2+1)-dimensional Boussinesq equation are successfully obtained. These solutions may be important and of significance for the explanation of some practical physical problems. It is shown that the sine-cosine and the extended tanh methods provide a powerful mathematical tool for solving great many nonlinear partial differential equations in mathematical physics.

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