# Exact solutions of the ZK-MEWequation and the Davey-Stewartson equation

## DOI:

https://doi.org/10.14419/ijamr.v3i2.2116## Published:

2014-04-04## Abstract

In this paper we introduce a new version of the trial equation method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including soliton solutions, rational and elliptic function solutions to the generalized (2+1)-dimensional ZK-MEW equation and the generalized Davey-Stewartson equation with the complex coefficients are obtained by this method.

**Keywords**: Extended trial equation method, generalized (2+1)-dimensional ZK-MEW equation, Davey-Stewartson equation, soliton solution, elliptic solutions.

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