American Journal of Numerical Analysis
ISSN (Print): 2372-2118 ISSN (Online): 2372-2126 Website: http://www.sciepub.com/journal/ajna Editor-in-chief: Emanuele Galligani
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American Journal of Numerical Analysis. 2013, 1(1), 32-35
DOI: 10.12691/ajna-1-1-5
Open AccessArticle

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

Anwar Ja'afar Mohamad Jawad1,

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

Pub. Date: December 05, 2013

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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References:

[1]  M Alquran, K Al-Khaled, H AnanbehStudies in Mathematical Sciences3 1 (2011).
 
[2]  W MalflietAm. J. Phys.60 650 (1992).
 
[3]  A Khater,WMalfliet, DCallebaut, and E KamelChaos Solitons Fractals14 513(2002)
 
[4]  A M Wazwaz Chaos Solitons Fractals.28454 (2006).
 
[5]  S A El-Wakil, M A AbdouChaos Solitons Fractals, 31840 (2007).
 
[6]  AJ M Jawad, S Johnson, A Yildirim, S Kumar and A Biswas Indian J Phys87287(2013).
 
[7]  A M Wazwaz Chaos Solitons and Fractals25 55(2005).
 
[8]  T C Xia, BLi, and H Q ZhangAppl. Math. E-Notes1 139(2001).
 
[9]  E Yusufoglu, A BekirInternat. J. Comput. Math83 915 (2006).
 
[10]  M Inc, M ErgutAppl. Math. E-Notes5 89(2005).
 
[11]  Zhang,Sheng Chaos Solitons Fractals301213 (2006).
 
[12]  Z S FengJ Phys. A. Math. Gen35 343(2002).
 
[13]  T R Ding, C Z Li Ordinary Differential Equations.Peking University Press, Peking (1996).
 
[14]  Y. Z. Peng, M. Shen Pramanajournal of physics67449(2006).
 
[15]  Taghizadeh and M. MirzazadehApplications and Applied Mathematics6 1893(2011).
 
[16]  AJ M Jawad IOSR Journal of Mathematics (IOSRJM)1 27(2012).
 
[17]  A Bekir, and ÖÜnsal Pramana journal of physics79 3(2012).