A differential quadrature algorithm for simulations of nonlinear Schrodinger equation

Korkmaz A., Dag İ.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.56, sa.9, ss.2222-2234, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 9
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.camwa.2008.03.047
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2222-2234
  • Anahtar Kelimeler: Differential quadrature method, Nonlinear Schrodinger equation, Soliton, Bound state, Birth of soliton, DISTRIBUTED SYSTEM EQUATIONS, SPLINE FINITE-ELEMENT, SOLITON, INSIGHTS, WAVES, MEDIA
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.