Lie Classical Method for (2+1)-dimensional Rosenau Equation


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Authors

  • S. Padmasekaran Department of Mathematics, Periyar University, Salem, Tamil Nadu, India
  • R. Asokan Department of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India
  • E. Nakkeeran Department of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India

Keywords:

Nonlinear PDE, Lie's Classical Method, Lies Algebra, Symmetry Reductions

Abstract

In this paper, a (2+1)-dimensional Rosenau equation is subjected to Lie's classical method. Classification of its symmetry algebra into one- and two-dimensional subalgebras is carried out in order to facilitate its reduction systematically to (1+1)-dimensional PDE and then to first order ODE.

 

 

Author Biographies

S. Padmasekaran, Department of Mathematics, Periyar University, Salem, Tamil Nadu, India

 

 

R. Asokan, Department of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India

 

 

E. Nakkeeran, Department of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India

 

 

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Published

15-05-2018

How to Cite

S. Padmasekaran, R. Asokan, & E. Nakkeeran. (2018). Lie Classical Method for (2+1)-dimensional Rosenau Equation. International Journal of Mathematics And Its Applications, 6(2 - A), 345–350. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/681

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Section

Research Article

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