A NEW METHOD FOR GENERATING A NEW INTEGRABLE SYSTEM

DOI10.1142/S0217979211100394zbMath1333.37106OpenAlexW1990379032MaRDI QIDQ2797161

Xiurong Guo

Publication date: 5 April 2016

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

Full work available at URL: https://doi.org/10.1142/s0217979211100394

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• Integrable theory of the perturbation equations.
• A higher-dimensional Lie algebra and its decomposed subalgebras
• Semi-direct sums of Lie algebras and continuous integrable couplings
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A direct method for integrable couplings of TD hierarchy
• A discrete variational identity on semi-direct sums of Lie algebras
• 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: A NEW METHOD FOR GENERATING A NEW INTEGRABLE SYSTEM