Related Experiment Video
Updated: May 22, 2025

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
Delving into quasi-periodic type optical solitons in fully nonlinear complex structured perturbed Gerdjikov-Ivanov
Zhimin Yan1, Jinbo Li2, Shoaib Barak3
1School of Mechanical and Electrical Engineering, XinYu University, Xinyu, 338004, China.
Abstract:
In this study, we aim to explore the soliton phenomena in fully nonlinear complex perturbed Gerdjikov-Ivanov equation (PGIE). This model concerns with optical pulse transmission pursuant to perturbation impacts encompassing significant uses in optical fibers, especially, photonic crystal fibers. We employ the Riccati modified extended simple equation method, which has never been employed for this model previously, to acquire novel and distinct optical soliton solutions. To visually evaluate the dynamics of derived optical soliton solutions, several 3D, 2D, and contour graphics are incorporated. These visuals reveal a range of quasi-periodic type optical soliton phenomena, that include internal envelope, hump, cnoidal, periodic, and fractal solitons. In addition to including additional soliton dynamics into the model, the results show how these dynamics interact to affect the system's overall behavior.
Related Concept Videos
Standing Waves in a Cavity
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Poisson's And Laplace's Equation
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
Oscillations about an Equilibrium Position
Navier–Stokes Equations

