New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation

Abstract

We present in this report 1+1 dimensional nonlinear partial differential equation integrable through inverse scattering transform. The integrable system under consideration is a pseudo-Hermitian reduction of a matrix generalization of classical 1+1 dimensional Heisenberg ferromagnet equation. We derive recursion operators and describe the integrable hierarchy related to that matrix equation.

arXiv comment10 pages, extended version of conference report

References in corpus (1)

• Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces

Cited by in corpus (3)

• Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with Self-Consistent Sources: Geometry and Equivalence
• Dispersionless Limits of Some Integrable Equations
• Dispersionless Limits of Integrable Generalized Heisenberg Ferromagnet Equations