Specific features of the numerical solution of problems for a generalized nonlinear Schrödinger equation

DOI10.1023/A:1011957621207zbMath0999.65107OpenAlexW251681991MaRDI QIDQ1603178

N. P. Matsuka, V. M. Volkov

Publication date: 2001

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011957621207

zbMATH Keywords

stabilityfinite element methodnonlinear Schrödinger equationperiodic boundary conditionsnonlinear dynamics of subpicosecond pulses

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Lasers, masers, optical bistability, nonlinear optics (78A60)

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