Spatial solitons, beams that do not spread owing to diffraction when they propagate, have
been demonstrated to exist by virtue of a variety of nonlinear self-trap** mechanisms …

We obtain the nondegenerate one-and two-soliton solutions of the nonlocal nonlinear
Schrödinger equation by using the nonstandard Hirota method. This unconventional method …

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 …

Nonlinear dynamics of an optical pulse or a beam continue to be one of the active areas of
research in the field of optical solitons. Especially, in multi-mode fibers or fiber arrays and …

The stability of nonlinear waves has a distinguished history and an abundance of richly
structured yet accessible examples, which makes it not only an important subject but also an …

In the fiber communication domain, people are facing the challenges due to the rapidly
growing requirement on the capacity from new functions and services. Multi-hump solitons …

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 …

We consider the Bose–Einstein condensate in a parabolic trap as a macroscopic quantum
oscillator and describe, analytically and numerically, its collective modes—a nonlinear …

A two-component AB system, which describes the wave-packets in a baroclinic fluid, is
investigated in this paper. Bright one-and two-soliton solutions are constructed via the Hirota …

It is known that the Manakov equation which describes wave propagation in two mode
optical fibers, photorefractive materials, etc., can admit solitons which allow energy …