During the past 30 years there have been important and far reaching developments in the
study of nonlinear waves including" soliton equations", a class of nonlinear wave equations …

The relation between Euler–s planar elastic curves and vortex filaments evolving by the
localized induction equation (LIE) of hydrodynamics was discovered by Hasimoto in 1971 …

In this paper, we define the first frame associated with the non-linear Schrödinger (NLS)
system. Also, we present Lorentz force in the first type of the non-linear Schrödinger frame …

The motion of plane curves in Klein geometry is studied. It is shown that the KdV, Harry–
Dym, Sawada–Kotera, Burgers, the defocusing mKdV hierarchies, the Camassa–Holm and …

A method is considered to induce surfaces in three‐dimensional (pseudo) Euclidean space
via the solutions to two‐dimensional linear problems (20 LPs) and their integrable dynamics …

It is shown that a class of important integrable nonlinear evolution equations in 21
dimensions can be associated with the motion of space curves endowed with an extra …

In this paper, we define the first frame associated with the non-linear Schrödinger system.
Also, we present Lorentz force in the first type of the non-linear Schrödinger frame …

The notion of a multidimensional quadrilateral lattice is introduced. It is shown that such a
lattice is characterized by a system of integrable discrete nonlinear equations. Different …

In this paper, we describe a new non-linear Schrö dinger model. Also, we present geometric
flexible non-linear electromotive ϕ (χ 1), ϕ (χ 2), ϕ (χ 3), BS Schrödinger microscales in …

In this paper, intrinsic derivatives in the pseudo-Galilean normal and pseudo-Galilean
binormal directions with respect to the Frenet frame in the pseudo-Galilean 3-space G 1 3 …