Cnoidal wave solutions for a class of fifth-order KdV equations. (English) Zbl 1125.35403

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

Math. Comput. Simul. 70, No. 4, 221-226 (2005).

Summary: 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 \(m\to 1\), the corresponding solitary wave solutions are also obtained.

MSC:

35Q53	KdV equations (Korteweg-de Vries equations)
35Q51	Soliton equations

Keywords:

Generalized fifth-order KdV equation; Cnoidal wave solutions; Solitary wave solutions

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