The (′/)-Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation
By Hasibun Naher, Farah Aini Abdullah, M. Akbar. 2011
73 citations recorded by the source corpus.
We construct the traveling wave solutions of the fifth-order Caudrey-Dodd-Gibbon (CDG) equation by the (𝐺/𝐺)-expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, the trigonometric, and the rational functions. It is shown that the (𝐺/𝐺)-expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations.
Subfields: Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7a01783ac687e0afe03ab486246002292185cbb2
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In Modeling and Simulation
In Statistical and Nonlinear Physics
Citations in the corpus
- The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method (2012, methodology): “The investigation of traveling wave solutions of the nonlinear partial differential equations (PDEs) plays the most important role in the study of nonlinear physical phenomena which arise in mathematical physics, engineering sciences and other technical arena [1-43].”