Solutions of Nonlinear Partial Differential Equations Using Generalized Hyperbolic Functions

Abstract

In this article, with the help of generalized hyperbolic functions a new version of the classic sech-function method is defined. The developed method is applied to the nonlinear partial differential equations and a general form of solution function called as ” 1-soliton ” is obtained. New exact solutions of generalized regularized long wave equation (GRLW) and the (2+1) dimensional Boussinesq equation found. Also, physical reviews of the solutions are added.

Keywords

• Generalized hyperbolic functions, generalized regularized long wave equation, (2+1) dimensional Boussinesq equation, soliton solution

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