47 citations · 139 across the 19 of their papers we have counts for
19 papers
A Generic Nonlinear Evolution Equation of Magnetic Type II. Particular Solutions
T. Valchev
We consider a matrix nonlinear partial differential equation that generalizes Heisenberg ferromagnet equation. This generalized Heisenberg ferromagnet equation is completely integr…
A Generic Nonlinear Evolution Equation of Magnetic Type I. Reductions
Tihomir Valchev
The present preprint is dedicated to a nonlinear evolution equation that generalizes the classical Heisenberg ferromagnet equation in certain way. That generalization is completely…
Multicomponent Nonlinear Evolution Equations of the Heisenberg Ferromagnet Type. Local versus Nonlocal Reductions
Tihomir Valchev
The paper is dedicated to a system of matrix nonlinear evolution equations related to a Hermitian symmetric space of the type . The system under consideration exten…
Nonlocal Reductions of a Generalized Heisenberg Ferromagnet Equation
R. Myrzakulov, G. Nugmanova, T. Valchev +1
We study nonlocal reductions of coupled equations in dimensions of the Heisenberg ferromagnet type. The equations under consideration are completely integrable and have a Lax…
Hermitian and Pseudo-Hermitian Reduction of the GMV Auxiliary System. Spectral Properties of the Recursion Operators
A. B. Yanovski, T. I. Valchev
We consider simultaneously two different reductions of a Zakharov-Shabat's spectral problem in pole gauge. Using the concept of gauge equivalence, we construct expansions over the…
New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation
T. I. Valchev, A. B. Yanovski
We present in this report 1+1 dimensional nonlinear partial differential equation integrable through inverse scattering transform. The integrable system under consideration is a ps…