A new completely integrable Liouville's system, its Lax representation and bi-Hamiltonian structure

DOI10.1023/A:1016355230164zbMath0995.70013MaRDI QIDQ5942745

Hong-Qing Zhang, En-gui Fan

Publication date: 23 October 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemLax representationLiouville integrabilitybi-Hamiltonian structurefinite-dimensional completely integrable systemhierarchy of nonlinear evolution equationsisospectral problemMKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (2)

A few continuous and discrete dynamical systems ⋮ A subalgebra of Lie algebra A2 and its associated two types of loop algebras, as well as Hamiltonian structures of integrable hierarchy

This page was built for publication: A new completely integrable Liouville's system, its Lax representation and bi-Hamiltonian structure