Integrability by separation of variables

DOI10.1016/j.physd.2020.132523zbMath1496.37060OpenAlexW3018345333MaRDI QIDQ2125605

Jaume Llibre, Rafael O. Ramírez

Publication date: 14 April 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132523

zbMATH Keywords

Hamiltonian systemseparation of variablesStark problemintegrability in the Jacobi senseintegrability in the Liouville senseLevi-Civita conditions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

• Complete closed-form solutions of the Stark problem
• Killing tensors and the separation of the Hamilton-Jacobi equation
• Sur la séparation des variables dans l'équation aux dérivées partielles de Hamilton-Jacobi
• Separable systems of Stäckel
• Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
• Integrals of nonlinear equations of evolution and solitary waves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integrability by separation of variables