Higher Order Backlund Transformation for $u_t+uu_x+\alpha u-u_{xx}+\gamma u_{xxx}+u_{yy} = 0$


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Authors

  • S. Padmasekaran Department of Mathematics, Periyar University, Salem, Tamilnadu, India
  • S. Lavanya Devi Department of Mathematics, Sri Meenakshi Government Ars College for women, Madurai, Tamilnadu, India
  • G. Sivagami Department of Mathematics, SBM College of Engineering and Technology, Dindigul, Tamilnadu, India

Keywords:

Homogeneous Balance method, solitary wave solutions, auto-Backlund transformation

Abstract

The homogeneous balance (HB) method has drawn lots of interests in seeking the solitary wave solution and other kinds of solutions. Wang showed the HB method is powerful for finding analytic solitary wave solutions of PDE. In this paper, the solitary wave solution of nonlinear PDE has been obtained by this method.

 

Author Biographies

S. Padmasekaran, Department of Mathematics, Periyar University, Salem, Tamilnadu, India

 

 

S. Lavanya Devi, Department of Mathematics, Sri Meenakshi Government Ars College for women, Madurai, Tamilnadu, India

 

 

G. Sivagami, Department of Mathematics, SBM College of Engineering and Technology, Dindigul, Tamilnadu, India

 

 

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Published

01-09-2016

How to Cite

S. Padmasekaran, S. Lavanya Devi, & G. Sivagami. (2016). Higher Order Backlund Transformation for $u_t+uu_x+\alpha u-u_{xx}+\gamma u_{xxx}+u_{yy} = 0$. International Journal of Mathematics And Its Applications, 4(3 - A), 197–200. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/985

Issue

Vol. 4 No. 3 - A (2016)

Section

Research Article

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