Exact Solutions for the Mikhailov-Shabat Equation, and Classical Boussinesq Equation by Tan-Cot Method
Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 11)Publication Date: 2016-11-05
Authors : Anwar Ja'afar Mohamad Jawad Syeda Naima Hassan;
Page : 1971-1974
Keywords : Non-linear PDEs; Tan-Cot function method; Mikhailov-Shabat (MS) equation; Classical Boussinesq (CB) equation;
Abstract
In this paper, we established a travelling wave solution by using the proposed Tan-Cot function algorithm for non-linear partial differential equations. The method is used to obtain new solitary wave solutions for non-linear partial differential equations such as, for the Mikhailov-Shabat ( MS) equation, and Classical Boussinesq (CB) equation, which are the important Soliton equations. Proposed method has been successfully implemented to establish new solitary wave solutions for the non-linear PDEs.
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