An \(r\)-matrix interpretation of modified systems

DOI10.1016/0167-2789(94)90055-8zbMath0807.58037OpenAlexW1964029965MaRDI QIDQ1339286

Ian Marshall

Publication date: 28 February 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90055-8

zbMATH Keywords

integrable systemsspectral problemmatrix

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) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

Modified systems found by symmetry reduction on the cotangent bundle of a loop group ⋮ Erratum to: ``Modified systems found by symmetry reduction on the cotangent bundle of a loop group

Cites Work

• Unnamed Item
• Unnamed Item
• A Lie algebraic setting for Miura maps related to an energy dependent linear problem
• What is a classical r-matrix?
• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• Classical r-matrices and compatible Poisson brackets for coupled KdV systems
• Lie algebras and Korteweg-de Vries equations
• Droplet theory in low dimensions: Ising systems in an ordering field
• Coupled Harry Dym equations with multi-Hamiltonian structures
• Long wave equations and metrizable Lie algebras
• MODIFIED KORTEWEG-DE VRIES EQUATIONS ON EUCLIDEAN LIE ALGEBRAS

This page was built for publication: An \(r\)-matrix interpretation of modified systems