International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | Iraq | Volume 5 Issue 11, November 2016 | Popularity: 6.4 / 10


     

Exact Solutions for the Mikhailov-Shabat Equation, and Classical Boussinesq Equation by Tan-Cot Method

Anwar Jaafar Mohamad Jawad, Syeda Naima Hassan


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.


Keywords: Non-linear PDEs, Tan-Cot function method, Mikhailov-Shabat (MS) equation, Classical Boussinesq (CB) equation


Edition: Volume 5 Issue 11, November 2016


Pages: 1971 - 1974



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Anwar Ja'afar Mohamad Jawad, Syeda Naima Hassan, "Exact Solutions for the Mikhailov-Shabat Equation, and Classical Boussinesq Equation by Tan-Cot Method", International Journal of Science and Research (IJSR), Volume 5 Issue 11, November 2016, pp. 1971-1974, https://www.ijsr.net/getabstract.php?paperid=ART20163166, DOI: https://www.doi.org/10.21275/ART20163166