A numerical solution and an exact explicit solution of the NLS equation

El-Sayed S. M., KAYA D.

Applied Mathematics and Computation, cilt.172, sa.2 SPEC. ISS., ss.1315-1322, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 172 Sayı: 2 SPEC. ISS.
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.02.055
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1315-1322
  • Anahtar Kelimeler: Nonlinear Schrödinger equation, Numerical results, The decomposition method, Traveling wave solutions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We consider traveling wave solutions of the nonlinear Schrödinger (NLS for short) equation. In this paper by considering the decomposition scheme, we first obtain the exact solutions of the NLS equation for the initial condition without using any classical transformations and then its numerical solutions are constructed without using any discretization technique. The numerical solutions are compared with the known analytical solutions. Its remarkable accuracy is finally demonstrated in the study of some initial values of the NLS equation. © 2005 Elsevier Inc. All rights reserved.