Solitons are stable localized wave packets that can propagate long distance in dispersive
media without changing their shapes. As particle-like nonlinear localized waves, solitons …

Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

In physics, wave propagation is traditionally analyzed by means of regular solutions of wave
equations. However, solutions of wave equations in two and three dimensions often possess …

Nonlinear waves on periodic backgrounds play an important role in physical systems. In this
study, nonlinear waves that include solitons, breathers, rogue waves, and semi‐rational …

By solving Maxwell's curl equations coupled to a two-level atom, a theoretical study of carrier-
wave Rabi flopping of femtosecond optical pulses of only several carrier-cycles time …

The main concern of this paper is to investigate the Hirota equation with variable coefficients
that can describe the pulse propagation in inhomogeneous fibers more realistically than its …

We characterize dark-type vector optical solitons of arbitrary polarization in isotropic, Kerr-
type media by applying Hirota's method to the integrable Manakov model with a defocusing …

For isotropic and homogeneous nonlinear left-handed materials, for which the effective
medium approximation is valid, Maxwell's equations for electric and magnetic fields lead …

The interactions of multiple solitons show different properties with two-soliton interactions.
For the difficulty of deriving multiple soliton solutions, it is rare to study multiple soliton …