Explicit and exact solutions to the mBBM and Vakhneoko equations

Abstract

Abstract:

The mBBM and Vakhneoko equations are solved by the trial function method. By introducing appropriate trial functions, the nonlinear partial differential equation that is hard to be solved by the usual ways can be reduced to a set of algebraic equation, which can be easily solved, and its related coefficients can be easily determined by the method of undetermined coefficient. Finally, the analytical solution to the equations are successfully derived.

Key words: nonlinear equation, trial function method, mBBM equation, Vakhneoko equation, exact solution

CLC Number:

O175.2

GUO Peng, Zhang-Lei, WANG Xiao-Yun, SUN Xiao-Wei. Explicit and exact solutions to the mBBM and Vakhneoko equations[J]. J4, 2010, 27(6): 683-687.

References

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Explicit and exact solutions to the mBBM and Vakhneoko equations

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