Nonlinear Schrodinger equations with spatio-temporal dispersion in Kerr, parabolic, power and dual power law media: A novel extended Kudryashov's algorithm and soliton solutions


Yildirim Y., ÇELİK N. , YAŞAR E.

RESULTS IN PHYSICS, vol.7, pp.3116-3123, 2017 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7
  • Publication Date: 2017
  • Doi Number: 10.1016/j.rinp.2017.08.008
  • Title of Journal : RESULTS IN PHYSICS
  • Page Numbers: pp.3116-3123
  • Keywords: Solitons, Nonlinear Schrodinger equation with spatio-temporal dispersion, Extended Kudryashov's method, OPTICAL SOLITONS, NANO-FIBERS, PERTURBATION

Abstract

In this study, we perform the extended Kudryashov method to nonlinear Schrdinger equation (NLSE) with spatio-temporal dispersion that arises in a propagation of light in nonlinear optical fibers, planar waveguides, Bose-Einstein condensate theory. Four types of nonlinearity - Kerr law, power law, parabolic law and dual-power law - are being considered for the model. By using this scheme, the topological, singular soliton and rational solutions are obtained. In addition, some graphical simulations of solutions are provided.