Journal ArticleDOI
Exact traveling-wave solutions for optical models based on the nonlinear cubic-quintic Schrödinger equation
TLDR
In this article, a large set of exact analytic traveling-wavesolutions for the equation iut + uxx = a1u|u|2 + a2u| u|4 that can be of interest in higher-order nonlinear-optical media is presented.Abstract:
We present a large set of exact analytic traveling-wavesolutions for the equation iut + uxx = a1u|u|2 + a2u|u|4 that can be of interest in higher-order nonlinear-optical media. This set includes all bright and dark solitary waves as well as periodic ones. Our procedure consists of direct integration; it is then purely algebraic and simple. Solutions are given in simple forms and tabulated.read more
Citations
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Fronts, pulses, sources and sinks in generalized complex Ginzberg-Landau equations
TL;DR: In this paper, the existence and multiplicity of coherent structures in the complex Ginzburg-Landau equation was studied. But the authors focused on the competition between fronts and pulses and did not consider the non-uniformly translating front structures.
Book
Optical Solitons
TL;DR: The theory of optical solitons as well as their experimental investigation has progressed rapidly as discussed by the authors, and optical soliton concepts applied to the description of intense electromagnetic beams and ultrashort pulse propagation in various media have contributed much to this field.
Journal ArticleDOI
Dispersion-managed solitons in fibre systems and lasers
TL;DR: In this article, the authors overview the field of the dispersion managed solitons starting from mathematical theories of Hamiltonian and dissipative systems and then discuss recent advances in practical implementation of this concept in fibre-optics and lasers.
Journal ArticleDOI
Optical solitons for the resonant nonlinear Schrödinger's equation with time-dependent coefficients by the first integral method
TL;DR: In this article, the resonant nonlinear Schrodinger's equation with three forms of nonlinearity is considered and the first integral method is used to carry out the integration.
Journal ArticleDOI
Bright and dark solitons for the resonant nonlinear Schrödinger's equation with time-dependent coefficients
TL;DR: In this paper, the resonant nonlinear Schrodinger's equation with five forms of nonlinearity is studied and the ansatz method is used to carry out the integration.
References
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Journal ArticleDOI
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Journal ArticleDOI
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion
Akira Hasegawa,Frederick Tappert +1 more
TL;DR: Theoretical calculations supported by numerical simulations show that utilization of the nonlinear dependence of the index of refraction on intensity makes possible the transmission of picosecond optical pulses without distortion in dielectric fiber waveguides with group velocity dispersion.
Journal ArticleDOI
Theory of the soliton self-frequency shift.
TL;DR: The theory of Raman effects, which causes a continuous downshift of the mean frequency of pulses propagating in optical fibers, agrees well with recent measurements.
Journal Article
Interaction between solitons in a stable medium
TL;DR: In this paper, it was shown that Eq. (1) can be treated as a two-dimensional variant of the well known parabolic equation that describes stationary wave beams in a nonlinear medium.
Journal ArticleDOI
Demonstration of soliton transmission over more than 4000 km in fiber with loss periodically compensated by Raman gain.
Linn F. Mollenauer,K. Smith +1 more
TL;DR: By recirculating 55-psec soliton pulses many times around a closed 42-km loop with loss exactly compensated by Raman gain, pulse transmission is successfully demonstrated over distances in excess of 4000 km.
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