Numerical study of self-focusing solutions to the Schrödinger-Debye system

DOI10.1051/m2an:2001106zbMath0979.65086OpenAlexW2171230301WikidataQ107099903 ScholiaQ107099903MaRDI QIDQ2709436

Christophe Besse, Brigitte Bidégaray-Fesquet

Publication date: 24 February 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_1_35_0

zbMATH Keywords

nonlinear opticsblow-up solutionsrelaxation schemesplit-step methodSchrödinger-Debye systemself-focusing solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Electron optics (78A15)

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