%0 Journal Article
%T New Exact Solutions of Nonlinear Partial Differential Equations Using Tan-Cot Function Method
%A Anwar Ja'afar Mohamad Jawad
%J Studies in Mathematical Sciences
%D 2012
%I 
%R 10.3968/j.sms.1923845220120502.1452
%X 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.
%K Nonlinear PDEs
%K Exact solutions
%K Tan-cot function method
%K Schr$mathrm {ddot{o}}$dinger equation
%K Gardner equation
%K The modified KdV equation
%K Perturbed Burgers equation
%K General Burger's-Fisher equation
%K and Benjamin-Bona-Mahony equation
%U http://cscanada.net/index.php/sms/article/view/2994