TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, vol.6, no.1, pp.135-142, 2016 (ESCI)
Article / Article
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Dissipative nonlinear Schrodinger equation, solitary waves, spectral methods, split-step Fourier method, WAVES
Istanbul Technical University Affiliated:
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.