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

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
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