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

Author

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

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.

Suggested Citation

  • Khater, A.H. & Hassan, M.M. & Temsah, R.S., 2005. "Cnoidal wave solutions for a class of fifth-order KdV equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 70(4), pages 221-226.
  • Handle: RePEc:eee:matcom:v:70:y:2005:i:4:p:221-226
    DOI: 10.1016/j.matcom.2005.08.001
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    References listed on IDEAS

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    1. Khater, A.H. & Malfliet, W. & Kamel, E.S., 2004. "Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and higher dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(2), pages 247-258.
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    Cited by:

    1. Ilison, Lauri & Salupere, Andrus, 2009. "Propagation of sech2-type solitary waves in hierarchical KdV-type systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3314-3327.

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