The Kostant-Toda equation and the hungry integrable systems

DOI10.1016/j.jmaa.2019.123627zbMath1432.37085OpenAlexW2982580600MaRDI QIDQ2287223

Koichi Kondo, Masato Shinjo, Masashi Iwasaki

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123627

zbMATH Keywords

integrable systemsToda equationLotka-Volterra systemlower Hessenberg matricesKostant-Toda equation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (4)

Discrete hungry integrable systems -- 40 years from the Physica D paper by W. W. Symes ⋮ Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials ⋮ Lusztig factorization dynamics of the full Kostant-Toda lattices ⋮ Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system

Cites Work

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