Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation
Künye
Bayındır, C. (2016). Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation. TWMS Journal of Applied and Engineering Mathematics, 6(1), 135-142.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.