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Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation. (English) Zbl 1187.82032

Summary: We investigate the integrable deformation of the inhomogeneous Heisenberg ferromagnet model by using the prolongation structure theory. Through moving space curve in Euclidean space, the corresponding equivalent generalised inhomogeneous nonlinear Schrödinger equations are also presented.

MSC:

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
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