ANALYTICAL AND NUMERICAL ASPECTS OF THE DISSIPATIVE NONLINEAR SCHRODINGER EQUATION

C. BAYINDIR

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.

Dissipative nonlinear Schrodinger equation, solitary waves, spectral methods, split-step Fourier method.