Separability and Lax pairs for the two-dimensional Hamiltonian system with a quartic potential

DOI10.1063/1.530981zbMath0843.35118OpenAlexW1974920294MaRDI QIDQ4873515

Filipe J. Romeiras

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.530981

zbMATH Keywords

elliptic functionsLax pairsintegrable two-dimensional Hamiltonian system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

New finite-dimensional integrable systems and explicit solutions of Hirota–Satsuma coupled Kortweg–de Vries equation, Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach, Simultaneous separation for the Neumann and Chaplygin systems, INTEGRABLE DISCRETIZATIONS OF A TWO-DIMENSIONAL HAMILTONIAN SYSTEM WITH A QUARTIC POTENTIAL

Cites Work

• Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
• Generalized separability for a Hamiltonian with nonseparable quartic potential
• Separability and Lax pairs for Hénon–Heiles system
• Integrability of One Particle in a Perturbed Central Quartic Potential
• Integrals of nonlinear equations of evolution and solitary waves