Integrable spin systems possess interesting geometrical and gauge invariance properties
and have important applications in applied magnetism and nanophysics. They are also …

Motion of curves and surfaces in R 3 lead to nonlinear evolution equations which are often
integrable. They are also intimately connected to the dynamics of spin chains in the …

Integrable Heisenberg ferromagnetic equations are an important subclass of integrable
systems. The M-XCIX equation is one of a generalizations of the Heisenberg ferromagnetic …

The paper aims to establish diverse soliton solutions for the integrable Kuralay equations
and to explore the integrable motion of space curves induced by these equations. The …

In this article, we consider a (2+ 1)-dimensional Schrödinger-Maxwell-Bloch equation
(SMBE). The (2+ 1)-dimensional SMBE is integrable by the inverse scattering method. We …

This study focuses on mathematically exploring the Kuralay equation, which is applicable in
diverse fields such as nonlinear optics, optical fibers, and ferromagnetic materials. This …

In this paper, we construct a Darboux transformation (DT) of the (2+ 1)-dimensional Schr\"
odinger-Maxwell-Bloch equation (SMBE) which is integrable by the Inverse Scattering …

We consider some soliton equations with self-consistent sources. A brief review of main
SESCS is presented. In particular we construct the Heisenberg ferromagneic equation with …

The (2+ 1)-dimensional Hirota-Maxwell-Bloch equation (HMBE) is integrable by the Inverse
Scattering Method. In this paper, we construct a Darboux transformation (DT) of the (2+ 1) …

Исследование солитоновых волн и их свойств, стало одной из актуальных областей
изучения в нелинейных науках, так как солитоны дают возможность их применения …