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

A.H. Khater, M.M. Hassan and R.S. Temsah

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 70, issue 4, 221-226

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.

Keywords: Generalized fifth-order KdV equation; Cnoidal wave solutions; Solitary wave solutions (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:70:y:2005:i:4:p:221-226

DOI: 10.1016/j.matcom.2005.08.001

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