The Double Auxiliary Equations Method and its Application to Some Nonlinear Evolution Equations
A. A. Moussa *
Department of Management Information System and Production Management, College of Business and Economics, Qassim University, Buraidah, K.S.A.
I. M. E. Abdelstar
Department of Management Information System and Production Management, College of Business and Economics, Qassim University, Buraidah, K.S.A.
A. K. Osman
Department of Management Information System and Production Management, College of Business and Economics, Qassim University, Buraidah, K.S.A.
L. A. Alhakim
Department of Management Information System and Production Management, College of Business and Economics, Qassim University, Buraidah, K.S.A.
*Author to whom correspondence should be addressed.
Abstract
Throughout this article, symbolic computation will be used in order to construct a more general exact solutions of the nonlinear evolution equations through a new method called the double auxiliary equations' method, the method represent the study focus of this article. The method has proven applicable and practical through its applications to the generalized regularized long wave (RLW) equation and nonlinear Schrodinger equation.
Keywords: double auxiliary equations method, (RLW) equation, the nonlinear Schrodinger equation, traveling wave solution