Soliton Solutions to Electromagnetic Model via Two Integration Schemes

Abstract

Solitons are the special types of solitary waves who does not change their shape and speed during propagation. When a light pulse in space or time travels in some host medium, it does not dispersive or diffract is called optical Solitons. Optical solitons are produced due to balance between group velocity dispersion and self-phase modulation. In this thesis, we have studied the electromagnetic model with two integration schemes namely the enhanced algebraic method and Riccati equation method. Our purpose is to attain bell-type, kink and anti kink type, singular solitons solutions for various forms of NLEEs. We’ll also obtain Weierstrass elliptic functions, Jacobi elliptic functions in terms of hyperbolic, trigonometric and rational functions. We have present the solutions graphically in various dimensions like 3D, 2D and contour.