Cnoidal wave solutions for a class of fifth-order KdV equations

Authors:
A. H. Khater;M. M. Hassan;R. S. Temsah
Affiliations:
Mathematics Department, Faculty of Science, Cairo University, Salah Salem Street, Beni-Suef 11711, Egypt;Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt;Mathematics Department, Faculty of Science, Cairo University, Salah Salem Street, Beni-Suef 11711, Egypt
Venue:
Mathematics and Computers in Simulation
Year:
2005

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Abstract

A suitable ansatz and Jacobi elliptic function expansion method are used to construct new exact cnoidal wave solutions of the modified fifth-order Korteweg-de Varies (KdV) equation and the generalized fifth-order KdV equation which includes, as special cases, some well-known equations. When the modulus of the Jacobi elliptic function m-1, the corresponding solitary wave solutions are also obtained.