Symmetry and non-Lie reduction of the nonlinear Schrödinger equation

DOI10.1007/BF01062953zbMath0802.35136OpenAlexW2031832796MaRDI QIDQ1332093

V. I. Chopik, W. I. Fushchich

Publication date: 26 September 1994

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01062953

zbMATH Keywords

symmetryreductionexact solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items

Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations

Cites Work

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• Non-Lie reduction of nonlinear Schrödinger equation
• Nonlinear Schrödinger-type field equation for the description of dissipative systems. I. Derivation of the nonlinear field equation and one-dimensional example
• The Schrödinger–Langevin equation: Special solutions and nonexistence of solitary waves
• Dimensional reductions and exact solutions of a generalized nonlinear Schrodinger equation
• The optical group and its subgroups