Lie symmetry and integrability of ordinary differential equations

DOI10.1063/1.532654zbMath0931.34004OpenAlexW1971720275MaRDI QIDQ4701597

Renat Zhdanov

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3e19b0090ec61a2ff3586e7cbdcb9ab02e55fb42

zbMATH Keywords

Dirac equationstationary mKdV hierarchystationary cubic Schrödinger, KdV, and Harry-Dym equations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (4)

Lie symmetries and singularity analysis for generalized shallow-water equations ⋮ Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System ⋮ Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential ⋮ The hydrogen atom in the van der Waals potential combined by magnetic and electric fields, Painlevé analysis, and integrability

Cites Work

• E-compact extensions of topological spaces
• Conditional symmetry and spectrum of the one-dimensional Schrödinger equation
• Lie Algebraic Solution of Linear Differential Equations

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