The classic examples of optical phenomena resulting in the appearance of solitons are self-
focusing, self-induced transparency, and parametric three-wave interaction. To date, the list …

We show that the methodology based on the generalized inverse scattering transform (IST)
concept provides a systematic way to discover the novel exactly integrable nonlinear …

By means of analytical and numerical methods, we reveal the main features of
nonautonomous matter-wave solitons near the Feshbach resonance in a one-dimensional …

Solitons—self-localized robust and long-lived nonlinear solitary waves that do not disperse
and preserve their identity during propagation and after a collision—arise in any physical …

In this paper we apply the Painlevé tests to the damped, driven nonlinear Schrödinger
equationwhere a (x, t) and b (x, t) are analytic functions of x and t, todetermine under what …

Light propagation in curved spacetime is at the basis of some of the most stringent tests of
Einstein's general relativity. At the same time, light propagation in media is at the basis of …

Nonlinear science is believed by many outstanding scientists to be the most deeply
important frontier for understanding Nature (Christiansen et al., 2000; Krumhansl, 1991). The …

The generalized Lax pair operator method and the concept of nonautonomous solitons in
nonlinear and dispersive nonautonomous physical systems are introduced. Novel soliton …

The first successful experiments on Bose–Einstein condensation in dilute atomic gases were
reported recently by the groups at JILA, 1 Rice University, 2 and MIT. 3 In their respective …

In this paper we study the nonlinear Schrodinger equation with respect to the unknown
function S (x, t). New dimensional reduction and exact solution for a nonlinear Schrodinger …