Lax Pair, Breather Dynamics and Symmetry Analysis in Nonlocal Semi-Discrete Complex Dispersionless System

Dispersionless hierarchies are of much consideration because of their arising in many areas of physics and applied mathematics, like string theory, quantum field theories, etc. Among these hierarchies, we consider a generalized coupled dispersionless system which describes the profile of a current-fed string in the presence of an external magnetic field. In this work, we propose a novel parity-time symmetric, nonlocal semi-discrete complex coupled dispersionless system which is derived from the