XXXVII Workshop on Geometric Methods in Physics 1-7.07.2018
VII School on Geometry and Physics 25-29.06.2018

Gulgassyl Nugmaova

About the interable two-layer sin system with self-consistent potential

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\begin{center}\Large{\textbf{About the integrable two-layer spin systems with self-consistent potential}}


\large{\textbf{Gulgassyl Nugmanova}}\\
\textit{ Eurasian National University, Astana, Kazakhstan}\\

Integrable nonlinear differential equations admit soliton and other exact solutions. Study of soliton solutions and related solutions
become on of the most active areas of research in the field of physics and mathematics.
In this paper we present two-layer spin systems, which are
generalization of the Landau-Lifshitz equation with self-consistent potential. We consider
relations between two layers of spin, impact of self-consistent potential on these layers and
their interactions on basic of differential geometry of curves.


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