2012•Unpublished venueRequires access

Traveling Wave Solutions for Some Nonlinear Differential Equations by a Generalized Sub- ODE Method ——Traveling Wave Solutions for Some Differential Equations

Bin Zheng

Abstract

In this paper, we are concerned of seeking exact solutions of nonlinear differential equations. Some exact traveling wave solutions of the (2+1) dimensional PKP equation, the fifth-order SK equation and the (2+1) D-BLP equation are successfully established by a generalized Bernoulli sub-ODE method. These solutions are new exact solutions so far in the literature, and can help to understand better some related physical phenomena. This method appears to be efficient in seeking exact solutions of nonlinear equations, and can be applied to other nonlinear differential equations.

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Key concepts: Ode, Nonlinear system, Mathematics, Exact differential equation, Traveling wave, Differential equation, Exact solutions in general relativity, Mathematical analysis