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 …

We construct the Darboux transformation for the reverse space–time (RST) nonlocal short
pulse equation by considering a nonlocal symmetry reduction of the Ablowitz–Kaup–Newell …

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

A bstract Supersymmetric extensions of the 1D and 2D Swanson models are investigated by
applying the conformal bridge transformation (CBT) to the first order Berry-Keating …

We consider the gauge equivalence of all NLS-type reductions with a coupled system of
Landau–Lifshitz equations. In the local case it is shown to reduce to the continuum limit of …

In this paper, we investigate non-locality properties of the generalized Heisenberg spin
system in the presence of self-consistent potential (called the M-XCIX system) according to …

The present work addresses the study and characterization of the integrability of some spin
systems (ISS) in 1+ 1 dimensions. Lax representations for these ISS are successfully …

In this paper, we study the Shynaray equations, namely, the Shynaray-IIA equation (S-IIAE)
and the Shynaray-IIB equation (S-IIBE). We prove that these equations are integrable by the …