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Related papers: Vector $0\pi$ pulse in anisotropic media

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In this review, a more general theory of self-induced transparency (SIT) in comparison with the theory of McCall and Hahn is considered. Using the recently developed generalized perturbative reduction method (GPRM) the SIT equations are…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 G. T. Adamashvili

The nonlinear coherent interaction of light with the dispersive and Kerr-type third-order susceptibility medium containing optical impurity atoms or semiconductor quantum dots is considered. Using the generalized perturbation reduction…

Pattern Formation and Solitons · Physics 2020-04-23 G. T. Adamashvili

Elastic waves in anisotropic media can exhibit a power flux that is not collinear with the wave vector. This has notable consequences for waves guided in a plate. Through laser-ultrasonic experiments, we evidence remarkable phenomena due to…

Classical Physics · Physics 2024-01-04 Daniel A. Kiefer , Sylvain Mezil , Claire Prada

The general form of the cubic Boussinesq-type equation is considered. In special cases, this equation is reduced to the three different versions of the cubic Boussinesq equations and also the generalized modified cubic Boussinesq equation.…

Pattern Formation and Solitons · Physics 2023-05-17 G. T. Adamashvili

Two different versions of cubic sixth-order generalised Boussinesq-type wave equations are considered in this study. A generalised perturbation reduction method is used to solve these equations, which allows the reduction of considered…

Exactly Solvable and Integrable Systems · Physics 2025-03-05 G. T. Adamashvili

The possibility of production of pulses with scale-invariant properties at presence of fluctuations of parameters of self-oscillatory system with three-dimensional phase space is shown. The system of equations of inertial nonlinearity…

Chaotic Dynamics · Physics 2007-05-23 Z. Zh. Zhanabayev , N. Y. Almasbekov , Y. Zh. Baibolatov , A. T. Yeldesbay

A theory of optical nonresonance vector pulsing solitons in a Kerr media is considered. By using the perturbative reduction method the wave equation is transformed to the coupled nonlinear Schrodinger equations. The profile of the optical…

Pattern Formation and Solitons · Physics 2018-04-10 G. T. Adamashvili , N. T. Adamashvili , M. D. Peikrishvili , R. R. Koplatadze

Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation. We discover two…

Exactly Solvable and Integrable Systems · Physics 2015-02-04 Anjan Kundu

The generalized equation for the study of two-component nonlinear waves in different fields of physics is considered. In special cases, this equation is reduced to a set of the various well-known equations describing nonlinear solitary…

Pattern Formation and Solitons · Physics 2024-07-02 G. T. Adamashvili

A theoretical study is given of a new type of optical vortex in nonlinear anisotropic media. This is called an ``optical spin vortex'', which is realized as a special solution of the two-component non-linear Schr\"{o}dinger equation. The…

Materials Science · Physics 2007-05-23 Hiroshi Kuratsuji , Shouhei Kakigi

A theory of an optical vector pulsing soliton of self-induced transparency in an ensemble of semiconductor quantum dots is investigated. It is shown that a distribution of the excitonic ground-state transition dipole moments of the quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 G. T. Adamashvili , M. D. Peikrishvili , R. R. Koplatadze , K. L. Schengelia

A new method for analyzing arterial blood pressure is presented in this report. The technique is based on the scattering transform and consists in solving the spectral problem associated to a one-dimensional Schr\"odinger operator with a…

Mathematical Physics · Physics 2009-04-20 Taous-Meriem Laleg , Claire Médigue , Yves Papelier , Emmanuelle Crépeau , Michel Sorine

Propagation of ultrashort pulses at least a few tens of optical cycles in duration through a negative index material is investigated theoretically based on the generalized nonlinear Schr\"{o}dinger equation with pseudo-quintic nonlinearity…

Pattern Formation and Solitons · Physics 2021-09-22 Houria Triki , Vladimir I. Kruglov

We present an open-source multimode nonlinear Schr\"odinger equation-based simulation to investigate spatiotemporal nonlinear pulse propagation in thin-film silicon nitride (SiN) waveguides. Using this framework, we analyze femtosecond…

Optics · Physics 2025-08-27 Azka Maula Iskandar Muda , Uğur Teğin

The modes of nonlinear propagation of the two-component electromagnetic pulses through optically uniaxial media containing resonant particles are studied. The features of their manifestation in the "dense" media and in the media with…

Pattern Formation and Solitons · Physics 2015-06-26 S. V. Sazonov , N. V. Ustinov

In this paper, we study the following anisotropic nonlinear Schr\"odinger equation on the plane, \[ \begin{cases} {\rm i}\partial_t \Phi+\partial_{xx} \Phi -D_y^{2s} \Phi +|\Phi|^{p-2}\Phi=0,&\quad (t,x,y)\in\mathbb{R} \times \mathbb{R}^2,…

Analysis of PDEs · Mathematics 2024-05-21 Amin Esfahani , Hichem Hajaiej , Alessio Pomponio

We consider the evaluation of the $\eta\pi$ isospin-violating vector and scalar form factors relying on a systematic application of analyticity and unitarity, combined with chiral expansion results. It is argued that the usual analyticity…

High Energy Physics - Phenomenology · Physics 2014-07-11 S. Descotes-Genon , B. Moussallam

We investigate the scattering of light by a nonlinear, anisotropic slab under conical incidence and arbitrary polarization, within the framework of Maxwell's equations, where the nonlinearities are described by nonlinear susceptibility…

Optics · Physics 2025-12-22 Jérémy Itier , Gilles Renversez , Frédéric Zolla

We consider a primordial SU(2) vector multiplet during inflation in models where quantum fluctuations of vector fields are involved in producing the curvature perturbation. Recently, a lot of attention has been paid to models populated by…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-13 Nicola Bartolo , Emanuela Dimastrogiovanni , Sabino Matarrese , Antonio Riotto

Using the generalized perturbation reduction method the scalar nonlinear Schr\"odinger equation is transformed to the coupled nonlinear Schr\"odinger equations for auxiliary functions. A solution in the form of a two-component vector…

Exactly Solvable and Integrable Systems · Physics 2020-12-23 G. T. Adamashvili
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