ANALYTICAL AND NUMERICAL ASPECTS OF THE DISSIPATIVE NONLINEAR SCHRODINGER EQUATION

Year 2016, Volume: 6 Issue: 1, 135 - 142, 01.06.2016

C. Bayındır

Abstract

In this paper various analytical and numerical aspects of the dissipative nonlinear Schr¨odinger 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.

Keywords

Dissipative nonlinear Schr¨odinger equation, solitary waves, spectral methods, split-step Fourier method.

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