Abstract
An application of the generalized tanh-coth method and the (G′/G)-expansion method to search for exact solutions of nonlinear partial differential equations is analyzed. These methods are used for the KdV equation with forcing term. The generalized tanh-coth method and the (G′/G)-expansion method were used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. It is shown that the generalized tanh-coth method and the (G′/G)-expansion method, with the help of symbolic computation, provide a straightforward and powerful mathematical tool for solving nonlinear problems.
Highlights
IntroductionThe study of nonlinear partial differential equations in modelling physical phenomena has become an important tool
Nonlinear phenomena play a fundamental role in applied mathematics and physics
We use an effective method for constructing a range of exact solutions for following nonlinear partial differential equations that in this paper we developed solutions as well
Summary
The study of nonlinear partial differential equations in modelling physical phenomena has become an important tool. We use an effective method for constructing a range of exact solutions for following nonlinear partial differential equations that in this paper we developed solutions as well. We explain method which is called the generalized tanh-coth method to look for travelling wave solutions of nonlinear evolution equations. Our aim of this paper is to obtain analytical solutions of the KdV equation with forcing term and to determine the accuracy of the aforementioned methods in solving these kinds of problems.
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