2012•Unpublished venueRequires access

Application Of A Generalized Bernoulli Sub-ODE Method For Finding Traveling Solutions Of Some Nonlinear Equations

Bin Zheng

Abstract

In this paper, a generalized Bernoulli sub-ODE method is proposed to construct exact traveling solutions of nonlinear evolution equations. We apply the method to establish traveling solutions of the variant Boussinseq equations, (2+1)-dimensional NNV equations and (2+1)-dimensional Boussinesq and Kadomtsev-Petviashvili equations. As a result, some new exact traveling wave solutions are found.

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Key concepts: Ode, Traveling wave, Bernoulli's principle, Mathematics, Nonlinear system, Mathematical analysis, Applied mathematics, Exact solutions in general relativity