Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion

DOI10.1134/S0012266118100105zbMath1420.35277OpenAlexW2901008505WikidataQ115250647 ScholiaQ115250647MaRDI QIDQ1734718

A. D. Bulygin, A. A. Zemlyanov

Publication date: 27 March 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266118100105

zbMATH Keywords

variational formulationconservation lawcubic nonlinearitynonlinear Schrodinger equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Lasers, masers, optical bistability, nonlinear optics (78A60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Analysis of some properties of the nonlinear Schrödinger equation used for filamentation modeling
• Deformation quantization of linear dissipative systems
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