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We investigate the existence and propagation properties of all possible types of envelope soliton pulses in a birefringent optical fiber wherein the light propagation is governed by two coupled nonlinear Schrodinger equations with coherent…

斑图形成与孤子 · 物理学 2024-01-31 Houria Triki , Vladimir I. Kruglov

An exact solitary wave solution is presented for the nonlinear Schrodinger equation governing the propagation of pulses in optical fibers including the effects of second, third and fourth order dispersion. The stability of this soliton-like…

斑图形成与孤子 · 物理学 2018-12-12 Vladimir I. Kruglov , John D. Harvey

The solitary wave solution and periodic solutions expressed in terms of elliptic Jacobi's functions are obtained for the nonlinear Schr\"{o}dinger equation governing the propagation of pulses in optical fibers including the effects of…

斑图形成与孤子 · 物理学 2020-04-22 Vladimir I. Kruglov

In this paper we propose a method which provides a full description of solitary wave solutions of the Schroedinger equation with periodically varying dispersion. This method is based on analysis and polynomial deformation of the spectrum of…

斑图形成与孤子 · 物理学 2007-11-27 M. Shkarayev , M. G. Stepanov

We develop a model for the description of nonlinear pulse propagation in multimode optical fibers with a parabolic refractive index profile. It consists in a 1+1D generalized nonlinear Schr\"odinger equation with a periodic nonlinear…

光学 · 物理学 2017-11-22 Matteo Conforti , Carlos Mas Arabi , Arnaud Mussot , Alexandre Kudlinski

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

斑图形成与孤子 · 物理学 2020-05-06 Houria Triki , Vladimir I. Kruglov

A novel modified nonlinear Schr\"odinger equation is presented. Through a travelling wave ansatz, the equation is transformed into a nonlinear ODE which is then solved exactly and analytically. The soliton solution is characterised in terms…

斑图形成与孤子 · 物理学 2021-01-26 Jingxi Luo

We use the variational method to obtain approximate analytical expressions for the stationary pulselike solutions in birefringent fibers when differences in both phase velocities and group velocities between the two components and rapidly…

光学 · 物理学 2016-06-29 N. J. Rodriguez-Fernandez , J. M. Soto-Crespo

We investigate exact travelling wave solutions of higher order nonlinear Schrodinger equation in the absence of third order dispersion, which exhibit non-trivial self phase modulation. It is shown that, the corresponding dynamical equation,…

斑图形成与孤子 · 物理学 2011-06-01 Anshul Saini , Vivek M. Vyas , S. N. Pandey , T. Solomon Raju , Prasanta K. Panigrahi

In this paper, an existence theory is established for ring-profiled optical vortex solitons. We consider such solitons in the context of an electromagnetic light wave propagating in a self-focusing nonlinear media and governed by a…

数学物理 · 物理学 2017-01-25 Luciano Medina

In this article we propose a generalization of the theory of diffusion approximation for random ODE to a nonlinear system of random Schr\"{o}dinger equations. This system arises in the study of pulse propagation in randomly birefringent…

偏微分方程分析 · 数学 2012-12-14 A. de Bouard , M. Gazeau

In case of the nonlinear Schr\"odinger equation with designed group velocity dispersion, variable nonlinearity and gain/loss; we analytically demonstrate the phenomenon of chirp reversal crucial for pulse reproduction. Two different…

可精确求解与可积系统 · 物理学 2009-11-11 Rajneesh Atre , Prasanta K. Panigrahi

In this paper, the trial function method is employed to find the exact solutions for high-order nonlinear Schr\"odinger equations with time-dependent coefficients. This system describes the propagation of ultrashort light pulses in…

斑图形成与孤子 · 物理学 2020-10-15 Xin-Lei Mai , Wei Li

Wecritically review the recent progress in understanding soliton propagation in birefringent optical fibers.By constructing the most general bright two-soliton solution of the integrable coupled nonlinear Schroedinger equation (Manakov…

可精确求解与可积系统 · 物理学 2019-08-17 M. Lakshmanan , T. Kanna , R. Radhakrishnan

Pulse broadening for optical solitons due to birefringence is investigated. We present an analytical solution which describes the propagation of solitons in birefringent optical fibers. The special solutions consist of a combination of…

solv-int · 物理学 2007-05-23 H. J. S. Dorren , J. J. B. van den Heuvel

Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the…

等离子体物理 · 物理学 2023-05-30 Stephan I. Tzenov , Klaus M. Spohr , Kazuo A. Tanaka

The nonlinear Schr\"odinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation which was first derived by means of…

光学 · 物理学 2008-10-30 Jonatan Lenells

In this work, we study the propagation of solitons in lossy optical fibers. The main objective of this work is to study the loss of energy of the soliton wave during propagation and then to evaluate the impact of this loss on the…

We address the nonlinear Schrodinger equation with intensity-dependent dispersion which was recently proposed in the context of nonlinear optical systems. Contrary to the previous findings, we prove that no solitary wave solutions exist if…

斑图形成与孤子 · 物理学 2021-03-23 R. M. Ross , P. G. Kevrekidis , D. E. Pelinovsky

The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schr\"{o}dinger equation with periodically modulated and sign-variable dispersion is now well known in nonlinear optics. Our…

可精确求解与可积系统 · 物理学 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw
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