Document Type : Research Paper
Department of Mathematics, Science Faculty, Firat Universit, Elazığ, Turkey
Department of Computer Engineering, Biruni University, Istanbul, Turkey.
Department of Medical Research, China Medical University Hospital, China Medical University,Taichung, Taiwan.
In this work, we investigate soliton solutions of the generalized variable coefficients nonlinear Schr¨odinger equation. The Jacobi elliptic ansatz method is applied to obtain the optical soliton solutions. The necessary conditions that warrant the presence of these solutions are determined. We consider the Lie symmetry analysis of governing equation. Also, the stability of this equation is analyzed by the modulation instability.