Exact Solutions of Nonlinear Schrodinger's Equation by using Generalized Kudryashov Method


PANDIR Y. , SÖNMEZOĞLU A. , Duzgun H. H. , Turhan N.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 22 - 28 September 2014, vol.1648 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1648
  • Doi Number: 10.1063/1.4912593
  • City: Rhodes
  • Country: Greece

Abstract

In this paper, a new version of generalized Kudryashov method is used to examine the exact solutions of cubic nonlinear Schrodinger's equation (NLS). By using the traveling wave transformation, the NLS equations can be turned into the nonlinear ordinary differential equation. Afterwards, we achieve some new solutions such as dark soliton solutions and rational hyperbolic function solutions by use of a new version of generalized Kudryashov method. Additionally, we jot down that the proposed method is a new version of generalized form of classical Kudryashov Method.