Optical solitons and rogue wave solutions of NLSE with variables coefficients and modulation instability analysis. (English) Zbl 1524.35579
Summary: In this work, we investigate soliton solutions of the generalized variable coefficients nonlinear Schrödinger 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.
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35J10 | Schrödinger operator, Schrödinger equation |
| 33E05 | Elliptic functions and integrals |
Keywords:
NLSE; modified Jacobi elliptic functions; optical soliton; rogue wave; the exp-function approachReferences:
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