Abstract
In this paper,the extended ($\frac{G^{'}}{G}$)-expansion method with a computerized symbolic computation Maple is employed for constructing the new exact travelling wave solutions of nonlinear evolution equations arising in physics. The obtained travelling wave solutions are expressed by the hyperbolic functions,the trigonometric functions and rational functions.The applied method will be used in further works to establish more entirely new solutions for other kinds of two nonlinear evolution equations,namely,the (3+1)-dimensional Jimbo-Miwa equation and extended generalization of Vakhnenko equation.
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