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Research Article Open access CC BY 3.0

A Generalized Sub-ODE Method and Applications for Nonlinear Evolution Equations

Feng Xu, Qinghua Feng

Journal of Scientific Research and Reports · pp. 571–581 · Published 22 Aug 2013

10.9734/JSRR/2013/5347

Abstract

In this paper, a generalized Bernoulli sub-ODE method is applied to seek exact solutions for nonlinear evolution equations. This method is based on the homogeneous principle, and is effective in seeking new travelling wave solutions. As applications, we apply this method to solve (2+1) dimensional Boussinesq and Kadomtsev-Petviashvili (BKP) equation, and with the aid of mathematical software, some new exact travelling wave solutions for this equation are found.

Bernoulli sub-ODE method travelling wave solutions (2 1) dimensional BKP equation nonlinear evolution equation

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