A few continuous and discrete dynamical systems

DOI10.1016/S0034-4877(16)30047-7zbMath1351.37254OpenAlexW2510393353MaRDI QIDQ340500

Wenjuan Rui, Yu-Feng Zhang

Publication date: 14 November 2016

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(16)30047-7

zbMATH Keywords

conservation lawssine-Gordon equationsemi-discrete equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (13)

Generating integrable lattice hierarchies by some matrix and operator Lie algebras ⋮ Two nonisospectral integrable hierarchies and its integrable coupling ⋮ A Few Integrable Dynamical Systems, Recurrence Operators, Expanding Integrable Models and Hamiltonian Structures by the r -Matrix Method ⋮ A novel kind of a multicomponent hierarchy of discrete soliton equations and its application ⋮ A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies ⋮ Three kinds of nonisospectral integrable model of Wadati-Konno-Ichikawa soliton hierarchies ⋮ A kind of generalized integrable couplings and their bi-Hamiltonian structure ⋮ Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows ⋮ A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems ⋮ A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries ⋮ \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems ⋮ Generating nonisospectral integrable hierarchies via a new scheme ⋮ A new multi-component integrable coupling and its application to isospectral and nonisospectral problems

Cites Work

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• A simple model of the integrable Hamiltonian equation
• A powerful approach to generate new integrable systems
• Generation of Nonlinear Evolution Equations by Reductions of the Self-Dual Yang—Mills Equations
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• A new completely integrable Liouville's system, its Lax representation and bi-Hamiltonian structure

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