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

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.

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Year of publication:	2005
Authors:	Khater, A.H. ; Hassan, M.M. ; Temsah, R.S.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 70.2005, 4, p. 221-226
Publisher:	Elsevier
Subject:	Generalized fifth-order KdV equation \| Cnoidal wave solutions \| Solitary wave solutions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050809