New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation

10 Feb 2018  ·  Valchev T. I., Yanovski A. B. ·

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.

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Exactly Solvable and Integrable Systems Mathematical Physics Mathematical Physics