International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2533

Full Length Research Paper

Gaussian soliton solution to nonlinear Schrodinger equation with log-law nonlinearity

Chaudry Masood Khalique2 and Anjan Biswas1*
1International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences Delaware State University Dover, DE 19901-2277 USA. 2Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa.
Email: [email protected]

  •  Accepted: 14 December 2009
  •  Published: 31 March 2010

Abstract

This paper integrates the nonlinear Schrödinger equation with log-law nonlinearity. This is done by the aid of Lie symmetry approach. The stationary solutions are thus obtained.

 

Key words: Optical solitons, log-law nonlinearity, lie symmetry.