Integrability by separation of variables

PHYSICA D-NONLINEAR PHENOMENA

卷:409

Article

Llibre, Jaume¹  Ramirez, Rafael² 

[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain

[2] Univ Rovira & Virgili, Dept Engn Informat & Matemat, Avinguda Paisos Catalans 26, Tarragona 43007, Catalonia, Spain

关键词: Separation of variables;    Hamiltonian system;    Levi-Civita conditions;    Stark problem;    Integrability in the Jacobi sense;    Integrability in the Liouville sense;   

DOI  :  10.1016/j.physd.2020.132523

来源: Elsevier

【 摘 要 】

We study the integrability in the Jacobi sense (integrability by separation of variables), of the Hamiltonian differential systems using the Levi-Civita Theorem. In particular we solve the Stark problem for N > 3. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free