A finite-dimensional integrable system and the involutive solutions of the higher-order Heisenberg spin chain equations

DOI10.1016/0375-9601(94)90927-XzbMath0941.82521MaRDI QIDQ1964806

Zhijun Qiao

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items

On different integrable systems sharing the same nondynamical r-matrix ⋮ Riemann-Hilbert approach to TD equation with nonzero boundary condition ⋮ Heisenberg supermagnetic hierarchy with the quadratic and cubic constraints ⋮ On the higher-order inhomogeneous Heisenberg supermagnetic models ⋮ Algebro-geometric constructions of the Heisenberg hierarchy ⋮ A finite-dimensional integrable system related to a new coupled KdV hierarchy ⋮ GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM ⋮ Quasi-periodic solutions of the Heisenberg hierarchy ⋮ INTEGRABLE HAMILTONIAN SYSTEMS RELATED TO THE AKNS SYSTEM WITH MATRIX POTENTIALS

Cites Work

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• Nonlinearization of the Lax system for AKNS hierarchy
• The transformation operatorV of nonlinear evolution equation
• A classical integrable system and the involutive representation of solutions of theKdV equation