Nonautonomous Breather and Rogue Wave in Spinor Bose–Einstein Condensates with Space-Time Modulated Potentials

To study controlled evolution of nonautonomous matter-wave breathers and rogue waves in spinor Bose–Einstein condensates with spatiotemporal modulation,we focus on a system of three coupled Gross–Pitaevskii equations with spacetime-dependent external potentials and temporally modulated gain-loss distributions.With different external potentials and gain-loss distributions,various solutions for controlled nonautonomous matterwave breathers and rogue waves are derived by the Darboux transformation method,such as breathers and rogue waves on arched and constant backgrounds which have the periodic and parabolic trajectories.Effects of the gain-loss distribution and linear potential on the breathers and rogue waves are studied.Nonautonomous two-breathers on the arched and constant backgrounds are also derived.

Interacting Solitons,Periodic Waves and Breather for Modified Korteweg–de Vries Equation

We theoretically demonstrate a rich and significant new families of exact spatially localized and periodic wave solutions for a modified Korteweg–de Vries equation.The model applies for the description of different nonlinear structures which include breathers,interacting solitons and interacting periodic wave solutions.A joint parameter which can take both positive and negative values of unity appeared in the functional forms of those closed form solutions,thus implying that every solution is determined for each value of this parameter.The results indicate that the existence of newly derived structures depend on whether the type of nonlinearity of the medium should be considered self-focusing or defocusing.The obtained nonlinear waveforms show interesting properties that may find practical applications.

Chirped Bright and Kink Solitons in Nonlinear Optical Fibers with Weak Nonlocality and Cubic-Quantic-Septic Nonlinearity

This work focuses on chirped solitons in a higher-order nonlinear Schrodinger equation,including cubic-quinticseptic nonlinearity,weak nonlocal nonlinearity,self-frequency shift,and self-steepening effect.For the first time,analytical bright and kink solitons,as well as their corresponding chirping,are obtained.The influence of septic nonlinearity and weak nonlocality on the dynamical behaviors of those nonlinearly chirped solitons is thoroughly addressed.The findings of the study give an experimental basis for nonlinear-managed solitons in optical fibers.

Vector Spatiotemporal Solitons and Their Memory Features in Cold Rydberg Gases

We propose a scheme to generate stable vector spatiotemporal solitons through a Rydberg electromagnetically induced transparency(Rydberg-EIT)system.Three-dimensional vector monopole and vortex solitons have been found under three nonlocal degrees.The numerical calculation and analytical solutions indicate that these solitons are generated with low energy and can stably propagate along the axes.The behavior of vector spatiotemporal solitons can be manipulated by the local and nonlocal nonlinearities.The results show a memory feature as these solitons can be stored and retrieved effectively by tuning the control field.

Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential

This work studies the dynamical transmission of chirped optical solitons in a spatially inhomogeneous nonlinear fiber with cubic-quintic-septic nonlinearity,weak nonlocal nonlinearity,self-frequency shift and parity-time(PT)symmetry potential.A generalized variable-coefficient nonlinear Schr?dinger equation that models the dynamical evolution of solitons has been investigated by the analytical method of similarity transformation and the numerical mixed method of split-step Fourier method and Runge–Kutta method.The analytical self-similar bright and kink solitons,as well as their associated frequency chirps,are derived for the first time.We found that the amplitude of the bright and kink solitons can be controlled by adjusting the imaginary part of the PT-symmetric potential.Moreover,the influence of the initial chirp parameter on the soliton pulse widths is quantitatively analyzed.It is worth emphasizing that we could control the chirp whether it is linear or nonlinear by adjusting optical fiber parameters.The simulation results of bright and kink solitons fit perfectly with the analytical ones,and the stabilities of these soliton solutions against noises are checked by numerical simulation.

Propagation of chirped solitons on a cw background in a non-Kerr quintic medium with self-steepening effect

We study the existence and stability of envelope solitons on a continuous-wave background in a non-Kerr quintic optical material exhibiting a self-steepening effect.Light propagation in such a nonlinear medium is governed by the Gerdjikov-Ivanov equation.We find that the system supports a variety of localized waveforms exhibiting an important frequency chirping property which makes them potentially useful in many practical applications to optical communication.This frequency chirp is found to be crucially dependent on the intensity of the wave and its amplitude can be controlled by a suitable choice of self-steepening parameter.The obtained nonlinearly chirped solitons include bright,gray and kink shapes.We also discuss the stability of the chirped solitons numerically under finite initial perturbations.The results show that the main character of chirped localized structures is not influenced by finite initial perturbations such as white noise.