Soliton solutions for NLS equation using radial basis functions

DERELİ Y., IRK D., DAĞ İ.

CHAOS SOLITONS & FRACTALS, vol.42, no.2, pp.1227-1233, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1016/j.chaos.2009.03.030
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1227-1233
  • Anadolu University Affiliated: Yes

Abstract

We present a numerical study of the cubic nonlinear Schrodinger equation by using the meshless method based on collocation with radial basis functions. The method is examined for the single soliton solution and interaction of two solitons. The results are compared with the analytical solutions given in the literature. (C) 2009 Elsevier Ltd. All rights reserved.