Stability analysis solutions, optical solitons, Gaussian solutions and traveling wave solutions of the nonlinear Schrodinger governing equation

摘要

In this paper, we consider the nonlinear Schrodinger governing equation in fibers, which can be used to describe the propagation properties of optical soliton solutions. By using solitary wave ansatz, we derive the exact bright, dark soliton solutions, Gaussian solutions and the traveling wave solutions of the equation expressed in terms of sech(P) tau, tanh(P) tau and Jacobi elliptic functions sn, cn, respectively. Moreover, we also derive some constraint conditions which can guarantee the existence of solitons. By employing the Hamiltonian system, we analyze its modulation instability analysis and stability analysis solution. The nonlinear dynamical behaviors of these solutions are analyzed via their graphics analysis. (C) 2017 Elsevier GmbH. All rights reserved.