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 …

This work focuses on seeking soliton solutions for an intrinsic fractional discrete nonlinear
electrical transmission network obtained through the simplest sine-cosine method. The …

This paper focuses on finding soliton solutions for an intrinsic fractional discrete nonlinear
electrical transmission lattice. Our investigation is based on the fact that for a realistic …

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 this work, we use the new Jacobi elliptic function expansion method to find exact soliton
solutions for a discrete nonlinear electrical transmission line in (2+ 1) dimension. Several …

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 …

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 apply two methods which are the arbitrary nonlinear parameters and the
exponential rational function method to construct many new exact solutions of the higher …

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 …