Bayındır, Cihan2019-03-262019-03-262016-02-15Bayındır, C. (2016). Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation. TWMS Journal of Applied and Engineering Mathematics, 6(1), 135-142.2146-11472587-1013https://hdl.handle.net/11729/1505https://app.trdizin.gov.tr/makale/TWpBeU5EQXdNQT09http://jaem.isikun.edu.tr/web/index.php/archive/91-vol6no1/243In 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.eninfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 United StatesDissipative nonlinear Schrodinger equationSolitary wavesSpectral methodsSplit-step Fourier methodWavesMatematikArticle61135142Q4WOS:000393565200015