New Exact Solutions of Nonlinear Partial Differential Equations Using Tan-Cot Function Method

Anwar Ja'afar Mohamad Jawad

Abstract


In this paper, we established a traveling wave solution by using the proposed Tan-Cot function algorithm for nonlinear partial differential equations. The method is used to obtain new solitary wave solutions for various type of nonlinear partial differential equations such as, the (2+1) - dimensional nonlinear Schr$\mathrm {\ddot{o}}$dinger equation, Gardner equation, the modified KdV equation, perturbed Burgers equation, general Burger's-Fisher equation, and Benjamin-Bona-Mahony equation, which are the important Soliton equations. Proposed method has been successfully implemented to establish new solitary wave solutions for the nonlinear PDEs.

Keywords


Nonlinear PDEs; Exact solutions; Tan-cot function method; Schr$\mathrm {\ddot{o}}$dinger equation; Gardner equation; The modified KdV equation; Perturbed Burgers equation; General Burger's-Fisher equation; and Benjamin-Bona-Mahony equation

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DOI: http://dx.doi.org/10.3968%2Fj.sms.1923845220120502.1452

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