Nonlocal nonlinear Schrodinger equations and their soliton solutions


GÜRSES M., Pekcan A.

JOURNAL OF MATHEMATICAL PHYSICS, vol.59, no.5, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.1063/1.4997835
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS

Abstract

We study standard and nonlocal nonlinear Schrodinger (NLS) equations obtained from the coupled NLS system of equations (Ablowitz-Kaup-Newell-Segur (AKNS) equations) by using standard and nonlocal reductions, respectively. By using the Hirota bilinear method, we first find soliton solutions of the coupled NLS system of equations; then using the reduction formulas, we find the soliton solutions of the standard and nonlocal NLS equations. We give examples for particular values of the parameters and plot the function vertical bar Iq(t, x)vertical bar(2) for the standard and nonlocal NLS equations. Published by AIP Publishing.