Generation of discrete integrable systems and some algebro-geometric properties of related discrete lattice equations

DOI10.22436/JNSA.009.12.18zbMath1386.35317OpenAlexW2792334326MaRDI QIDQ4597359

Xiao-Jun Yang, Yu-Feng Zhang

Publication date: 12 December 2017

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.isr-publications.com/jnsa/articles-2961-generation-of-discrete-integrable-systems-and-some-algebro-geometric-properties-of-related-discrete-lattice-equations

zbMATH Keywords

Hamiltonian structurespectral problemR-matrixalgebro-geometric solution

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) 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)

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