New Classical and Quantum Integrable Systems Related to the MKdV Integrable Hierarchy

DOI10.1143/JPSJ.67.4045zbMath0955.37043OpenAlexW2017442414MaRDI QIDQ4491462

Wen-Xiu Ma, Ruguang Zhou

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.67.4045

zbMATH Keywords

Lax representationintegrable systemspectral problem\(r\)-matrixquantum integrable systemMKdV hierarchyGaudin magnet

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Exactly solvable models; Bethe ansatz (82B23) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (6)

Nonlinearizations of spectral problems of the nonlinear Schrödinger equation and the real-valued modified Korteweg–de Vries equation ⋮ Integrable Rosochatius deformations of the restricted soliton flows ⋮ An integrable coupling hierarchy of the MKdV\_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy ⋮ An implicit symmetry constraint of the modified Korteweg-de Vries (mKdV) equation ⋮ TWO SUPER-INTEGRABLE SYSTEMS AND ASSOCIATED SUPER-HAMILTONIAN STRUCTURES ⋮ Two kinds of new integrable decompositions of the Gerdjikov-Ivanov equation

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