Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations

DOI10.1016/j.cpc.2014.01.013zbMath1348.35246OpenAlexW1964249110MaRDI QIDQ339300

Mehdi Dehghan, Ameneh Taleei

Publication date: 10 November 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2014.01.013

zbMATH Keywords

domain decompositionoperator splitting methodnonlinear Schrödinger (NLS) equationalternating direction implicit (ADI) techniquemulti-dimensional nonlinear Schrödinger equationoverlapping multi-domain techniquepseudo-spectral (PS) method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Soliton solutions (35C08)

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