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Finding general and explicit solutions of high nonlinear equations by the Exp-function method. (English) Zbl 1189.65249

Summary: Davey-Stewartson equation and coupled Klein-Gordon-Schrödinger (KGS) equations and homogeneous nonlinear convection-diffusion problem are solved using the Exp-function method. The capabilities and wide-range applications of the Exp-function method are illustrated. This method can be used as an alternative to obtain analytical and approximate solutions of different types of differential equations in engineering mathematics.

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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