Generalized symmetries of partial differential equations and quasi-exact solvability

DOI10.1016/S0034-4877(98)80016-5zbMath0933.35011arXivdg-ga/9712004OpenAlexW1985466751MaRDI QIDQ1290238

K. Appert

Publication date: 16 August 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9712004

zbMATH Keywords

one-dimensional Schrödinger equationquasi-exactly solvable modelsLie algebra of generalized symmetries

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Cites Work

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• Symmetry algebras of linear differential equations
• More on symmetries of the Schrodinger equation
• Completely integrable equations: dynamical groups and their nonlinear realisations

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