New Electromagnetic Fluids Inextensible Flows of Spacelike Particles and some Wave Solutions in Minkowski Space-time

Abstract

In this paper, we construct a new method for inextensible flows of spacelike curves in Minkowski space-time. Using the Frenet frame of the given curve, we present partial differential equations and we obtain solitions some of this equations. We give some characterizations for curvatures of a spacelike curve in Minkowski space-time.

Magnetic motion of spherical frictional charged particles on the unit sphere

“…Followings are also useful sources to understand the background of the study. Dynamics of the charged particles that correspond to the trajectories of a particular type of curves in electromagnetic fields has been of significance in the literature and it is applied to many experimental studies [10][11][12][13]. Furthermore [14,15] studied the motion of charged particles in homogeneous electromagnetic fields by concentrating on the invariant geometric description of their trajectories.…”

A Study on the Harmonic Evolute Surfaces of Quasi Binormal Surfaces

“…Besides ruled surfaces, harmonic evolute surfaces of various surfaces have been also studied [5][6][7][8]. In addition to these studies, we work on the harmonic evolute surfaces of the ruled surfaces generated by quasi binormal vector [9]. This paper is consisting of three sections.…”

On Backlund transformations of surfaces by extended Harry-Dym flow

“…Kwon gave new equations of Evolution of inelastic plane curves, and Inextensible flows of curves and developable surfaces in [1,9]. Additionally, there are many works related to curves [6,[10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”