Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method

• Main Authors: A. Safaei Bezgabadi, M.A. Bolorizadeh
• Format: Article
• Language: English
• Published: Elsevier 2021-11-01
• Series: Results in Physics
• Subjects: Generalized nonlinear schrödinger equation; Optical soliton; Pulse propagation; Sinh-gordon equation expansion method; Bright-dark soliton
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379721008962
• ISSN: 2211-3797

In this paper, we find analytic solutions of generalized nonlinear Schrödinger equation (GNLSE), the underlying equation for studying pulse propagation through optical waveguides, by implementing the extended Sinh-Gordon equation expansion method (ShGEEM). Here, the terms corresponding to second and third order dispersion, waveguide’s loss, Kerr Effect, self-steepening and Raman Effect are included in GNLSE. The obtained analytic solutions represent bright, dark and combined bright-dark solitons. The constraint conditions for the existence of valid solutions are given. Also, the new solutions are graphically shown for pulse propagation along a photonic crystal fiber.