ANALYTICAL AND NUMERICAL ASPECTS OF THE DISSIPATIVE NONLINEAR SCHRODINGER EQUATION

Bayindir C.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.6, sa.1, ss.135-142, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 1
  • Basım Tarihi: 2016
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.135-142
  • Anahtar Kelimeler: Dissipative nonlinear Schrodinger equation, solitary waves, spectral methods, split-step Fourier method, WAVES
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In this paper various analytical and numerical aspects of the dissipative nonlinear Schrodinger equation (d-NLS equation) are discussed. Decaying solitary wave type solutions derived by Demiray is reviewed and a new approximate solitary wave type solution of the d-NLS equation is introduced in order to make comparisons. Also a split-step Fourier scheme is proposed for numerical solution of the d-NLS equation and the analytical solutions are compared with the numerical results.