Journal ArticleDOI
Optical soliton propagation in an erbium doped nonlinear light guide with higher order dispersion.
TLDR
A coupled system of the Hirota equation and the Maxwell-Bloch equations to describe the wave propagation in an erbium doped nonlinear fiber with higher order dispersion is proposed and the coupled system is found to allow soliton-type propagation.Abstract:
We propose a coupled system of the Hirota equation and the Maxwell-Bloch equations to describe the wave propagation in an erbium doped nonlinear fiber with higher order dispersion. The Painlev\'e property of the same is analyzed and the coupled system is found to be integrable. The Lax pair is also constructed and the single-soliton solution is explicitly shown. The coupled system is found to allow soliton-type propagation.read more
Citations
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Journal ArticleDOI
Rogue waves of the Hirota and the Maxwell-Bloch equations.
TL;DR: A Darboux transformation of the Hirota and the Maxwell-Bloch system which is governed by femtosecond pulse propagation through an erbium doped fiber is derived and it is shown that the rogue wave solution for p and η has two peaks because of the order of the numerator and denominator of them.
Journal ArticleDOI
Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell–Bloch equations
TL;DR: In this article, the inhomogeneous nonlinear Schrodinger Maxwell-Bloch (INLS-MB) equations were investigated for the propagation of optical waves in an inhomogenous nonlinear light guide doped with two-level resonant atoms.
Journal ArticleDOI
N-order bright and dark rogue waves in a resonant erbium-doped fiber system
TL;DR: In this paper, the rogue waves in a resonant erbium-doped fiber system governed by a coupled system of the nonlinear Schrodinger equation and the Maxwell-Bloch equation (NLS-MB equations) are given explicitly by a Taylor series expansion about the breather solutions of the normalized slowly varying amplitude of the complex field envelope E, polarization p, and population inversion η.
Journal ArticleDOI
New Types of Rogue Wave in an Erbium-Doped Fibre System
TL;DR: In this article, the authors report a novel and new types of rogue optical wave propagation in an erbium-doped fiber system governed by the nonlinear Schrodinger and the Maxwell-Bloch equation.
Journal ArticleDOI
Integrable (2+1)-Dimensional Spin Models with Self-Consistent Potentials
TL;DR: This paper identifies three different integrable spin systems in (2 + 1) dimensions by introducing the interaction of the spin field with more than one scalar potential, or vector potential,, or both, and deduces the equivalent nonlinear Schrodinger family of equations.
References
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Book
Nonlinear Fiber Optics
TL;DR: The field of nonlinear fiber optics has advanced enough that a whole book was devoted to it as discussed by the authors, which has been translated into Chinese, Japanese, and Russian languages, attesting to the worldwide activity in the field.
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