SPECTRAL RADIUS ANALYSIS OF MATRICES AND THE ASSOCIATED WITH INTEGRABLE SYSTEMS

DOI10.1142/S0217979209053138zbMath1242.37049MaRDI QIDQ3655694

Hon-Wah Tam, Yu-Feng Zhang

Publication date: 8 January 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Lie algebraHamiltonian structureintegrable couplingsspectral radius analysis

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Eigenvalues, singular values, and eigenvectors (15A18) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

Hamiltonian forms of the two new integrable systems and two kinds of Darboux transformations ⋮ Novel soliton hierarchies of Levi type and their bi-Hamiltonian structures

Cites Work

• An approach for generating enlarging integrable systems
• Darboux transformations for a Lax integrable system in \(2n\) dimensions
• Invertible linear transformations and the Lie algebras
• Integrable theory of the perturbation equations.
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II
• A higher-dimensional Lie algebra and its decomposed subalgebras
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Enlarging spectral problems to construct integrable couplings of soliton equations
• A new algebraic system and its applications
• Application of two loop algebras
• A simple method for generating integrable hierarchies with multi-potential functions
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
• A direct method for integrable couplings of TD hierarchy
• Integrable systems and reductions of the self-dual Yang–Mills equations
• 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
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

This page was built for publication: SPECTRAL RADIUS ANALYSIS OF MATRICES AND THE ASSOCIATED WITH INTEGRABLE SYSTEMS