Tan-Cot Method to Solve (2+1)-Dimensional Bogoyavlenskii System and Konopelchenko-Dubrovsky Coupled System

Anwar Ja'afar Mohamad Jawad^1,

¹Computer Engineering Technique Department, Al -Rafidain University College, Baghdad, Iraq

Cite this paper:
Anwar Ja'afar Mohamad Jawad. Tan-Cot Method to Solve (2+1)-Dimensional Bogoyavlenskii System and Konopelchenko-Dubrovsky Coupled System. American Journal of Numerical Analysis. 2013; 1(1):32-35. doi: 10.12691/ajna-1-1-5

Abstract

In this paper, we establish a traveling wave solution by using the Tan-Cot function algorithm for solving nonlinear partial differential equations. The method is used to obtain new solitary wave solutions for various type of nonlinear partial differential equations such as (2+1)-Dimensional Bogoyavlenskii system, Konopelchenko-Dubrovsky coupled system and the coupled nonlinear evolution equations which are important Soliton equations. Tan-Cot function method has been successfully implemented to establish new solitary wave solutions for the nonlinear PDEs.

Keywords:
nonlinear PDEs exact solutions tan-Cot function method (2+1)-Dimensional Bogoyavlenskii system Konopelchenko-Dubrovsky coupled system the coupled nonlinear evolution equations

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