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