Dark-in-the-bright and Combined-bright-dark Soliton Solutions for Nonlinear Schrödinger Equation

Abstract

The most arising and fast growing area of research is the optical solitons. In optical fibers, the solitons are the attractive field of research in applied mathematics, telecommunication systems and in distinctive branches of physics. A lot of research has been done on solutions of the solitary waves or solitons in nonlinear optics. In this thesis, we introduce the Radhakrishnan-Kundu-Lakshmanan (RKL) model and Chiral NLSE which are the famous forms of NLSE for attaining the dipole and combo solitons. To obtain the dipole solitons we use the ansatz method of Chaudhuri along with the parametric conditions which remains the solution in stable form, also for obtaining the combo solitons, we will use ansatz method of Li along with some parametric conditions.