A HIERARCHY OF HAMILTONIAN EQUATIONS ASSOCIATED WITH THE MODIFIED JAULENT–MIODEK HIERARCHY
DOI10.1142/S0217984910022226zbMath1186.37075MaRDI QIDQ3556808
Li-Li Zhu, Ye-Peng Sun, Hai-Yong Ding, Hong-Xiang Yang
Publication date: 26 April 2010
Published in: Modern Physics Letters B (Search for Journal in Brave)
matrix eigenvalue problemHamiltonian structureLiouville integrabilityLax pairgeneralized trace identity
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Cites Work
- Integrable theory of the perturbation equations.
- Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
- A Liouville integrable hierarchy, symmetry constraint, new finite-dimensional integrable systems, involutive solution and expanding integrable models
- Decomposition to the modified Jaulent-Miodek hierarchy
- A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems
- A NEW EXPANDING INTEGRABLE HIERARCHY OF KAUP–NEWELL HIERARCHY
- THE GENERALIZED MULTI-COMPONENT AKNS HIERARCHY AND N-FOLD DARBOUX TRANSFORMATION
- A FOUR-BY-FOUR MATRIX EIGENVALUE PROBLEM, RELATED HIERARCHY OF LAX INTEGRABLE EQUATIONS AND THEIR HAMILTONIAN STRUCTURES
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- A nonconfocal generator of involutive systems and three associated soliton hierarchies
- On the Bäcklund transformation and Hamiltonian properties of superevaluation equations
- Bi-Hamiltonian structure of a generalized super Korteweg-de Vries equation
- A powerful approach to generate new integrable systems
- An approach to generate superextensions of integrable systems
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
This page was built for publication: A HIERARCHY OF HAMILTONIAN EQUATIONS ASSOCIATED WITH THE MODIFIED JAULENT–MIODEK HIERARCHY
