In this paper, we study the Kuralay equations, namely the Kuralay-I equation (K-IE) and the
Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these …

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

In this paper, we present three formulations associated with the modified repulsive type
nonlinear Schrödinger NLS− equation in the h− lines and b− lines directions with respect to …

In this paper, we study some Kairat equations. The relation between the motion of space
curves and Kairat equations is established. The geometrical equivalence between the Kairat …

The present work addresses the study and characterization of the integrability of some
generalized Heisenberg ferromagnet equations (GHFE) in 1+ 1 dimensions. Lax …

In recent years, symmetry in abstract partial differential equations has found wide application
in the field of nonlinear integrable equations. The symmetries of the corresponding …

In this paper, the (2+ 1)-dimensional complex modified Korteweg-de Vries (cmKdV)
equations are studied using the sine-cosine method, the tanh-coth method, and the …

Integrable spin systems are an important subclass of integrable (soliton) nonlinear
equations. They play important role in physics and mathematics. At present, many integrable …

In this paper, we have studied the geometrical formulation of the Landau-Lifshitz equation
(LLE) and established its geometrical equivalent counterpart as some generalized nonlinear …

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