### Solution of Fifth Order Caudrey-Dodd-Gibbon-Sawada-Kotera Equation by the Alternative (G'/G)-Expansion Method with Generalized Riccati Equation

#### Abstract

In the present paper, the alternative (*G*'/*G*)-expansion is used to find new and precise solutions of Caudrey-Dodd-Gibbon-Sawada-Kotera equation with the assist of symbolic computation Maple, in which the generalized Riccati equation is used as an auxiliary equation. Plentiful traveling wave solutions including; exponential, hyperbolic and trigonometric functions are successfully accomplished by the proposed method with capricious parameters. It is revealed that the proposed method is straightforward, constructive and many nonlinear evolution equations in mathematical physics are solved by this method.

doi:10.14456/WJST.2015.44

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