Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation

Abstract

Analytical forms of optical pulses for the hyperbolic nonlinear Schrodinger equation are studied by the extended tanh expansion method and another new method successfully. Some graphical presentations of these analytical optical pulses are presented. Bifurcation analysis of the optical pulses of the hyperbolic nonlinear Schrodinger equation is also presented. All possible phase plots are depicted based on physical parameters. The hyperbolic nonlinear Schrodinger equation supports solitary, periodic, kink, anti-kink and most important superperiodic optical pulses. This study is applicable to understand the features of nonlinear pulses in optical fiber.