A differential quadrature algorithm for simulations of nonlinear Schrodinger equation

Korkmaz A., Dag İ.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.56, no.9, pp.2222-2234, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 9
  • Publication Date: 2008
  • Doi Number: 10.1016/j.camwa.2008.03.047
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2222-2234
  • Keywords: Differential quadrature method, Nonlinear Schrodinger equation, Soliton, Bound state, Birth of soliton, DISTRIBUTED SYSTEM EQUATIONS, SPLINE FINITE-ELEMENT, SOLITON, INSIGHTS, WAVES, MEDIA
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Numerical simulations of Nonlinear Schrodinger Equation are studied using differential quadrature method based on cosine expansion. Propogation of a soliton, interaction of two solitons, birth of standing and mobile solitons and bound state solutions are simulated. The accuracy of the method (DQ) is measured using maximum error norm. The results are compared with some earlier works. The lowest two conserved quantities are computed numerically for all cases. (C) 2008 Elsevier Ltd. All rights reserved.