Abstract
The manuscript deals with the abundant travelling wave solutions of the Caudrey-Dodd-Gibbon (CDG) equation which have been obtained in a uniform way by using alternative (G`/G)–expansion method wherein the generalized Riccati equation is used. Moreover, a relatively new technique which is called (U`/U)-expansion is also used to find solitary wave solutions of CDG equation. The solutions obtained in this article may be imperative and significant for the explanation of some practical physical phenomena. Numerical results coupled with the graphical representation explicitly reveal the complete reliability and high efficiency of the proposed algorithms. Key words: (G`/G)-expansion method, travelling wave solutions, (U`/U)-expansion method, Caudrey-Dodd-Gibbon (CDG) equation, nonlinear evolution equations.
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