The evolution of electric field in pseudo-Galilean 3-space [formula omitted

Abstract

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 G13 are obtained. Later, first and third classes of the spacelike curve evolution associated with the modified nonlinear heat system and second class of the curve evolution connected with the repulsive type modified nonlinear Schrödinger equation in the pseudo-Galilean normal and binormal directions with respect to the Frenet frame in G13 are presented. An electric field vector is expressed via the Frenet frame components in the pseudo-Galilean normal and the pseudo-Galilean binormal directions in G13. The change of an electric field vector with respect to three cases of an electric field vector in the pseudo-Galilean tangential, the pseudo-Galilean normal and the pseudo-Galilean binormal directions in G13 is derived.