Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Doubly Periodic Wave Solutions of Some Nonlinear Evolution Equations Using Sinh-Gordon Equation Expansion Method

Author(s):

Edamana Vasudevan Krishnan

Dept. of Mathematics and Statistics, Sultan Qaboos University,
P.O.Box 36, Al-Khod 123, Muscat, Sultanate of Oman.

krish@squ.edu.om

Zhenya Yan

Key Laboratory of Mathematics Mechanisation, Institute of Systems Science
Chinese Academy of Sciences, Beijing 100080, P.R. China

zyyan@mmrc.iss.ac.cn

Abstract:

Using the sinh-Gordon expansion method, doubly periodic solutions in terms of Jacobian elliptic functions have been derived for a magma equation, a new Hamiltonian amplitude equation and a coupled nonlinear wave equation. All the solutions obtained are new ones.

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