Nonlinear Schrodinger Equation
Mostrando 1-12 de 18 artigos, teses e dissertações.
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1. Formação de sólitons em condensados de Bose-Einstein e em meios ópticos / Formation of solitons in Bose-Einstein condensates and in photorefractive media
Different kinds of solitons have already been observed in various nonlinear optical media, and their behavior has been explained in the frameworks of such mathematical models as the nonlinear Schrödinger and generalized nonlinear Shrödinger equations for different dimensions and geometries. However, there are situations when many solitons are generated so
Publicado em: 2010
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2. O problema de Cauchy para a equação não linear de Schrödinger com dados não nulos no infinito. / The Cauchy Problem associated to the nonlinear Schrödinger equation with data nonvanishing at infinity.
Neste trabalho fazemos um estudo do Problema de Cauchy associado à equação não linear de Schrödinger com dados iniciais não nulos no infinito. No primeiro capítulo, apresentamos os espaços de Zhidkov em uma dimensão, e mostramos algumas de suas propriedades. No segundo capítulo, provamos que o operador de Schrödinger é um grupo de operadores fort
Publicado em: 2009
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3. Modelagem da propagação não linear em fibras opticas : sistemas de transmissão de dados e amplificadores / Modeling non linear propagation in optical fibers : data transmission systems and optical parametric amplifiers
We introduce optimized models and algorithms for the simulation of non linear propagation in optical fibers using the split-step Fourier Method (SSFM). Dispersion and the Kerr effect are the two main effects considered in the simulations. We study the coupled equations, considering both polarization modes, as well as the scalar equation, which can be applied
Publicado em: 2008
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4. O problema de Cauchy para um sistema de equações do tipo Schrodinger não linear de terceira ordem / The Cauchy problem associated to a system of coupled third-order nonlinear Schrodinger equation
In this work we study the Cauchy problem associated to a system of coupled third-order nonlinear Schrodinger equation. We establish local well-posedness results for the problem with data in Sobolev spaces Hs(R) x Hs(R), s >or = 1/4 and in the periodic case Hs(T)xHs(T), s >or = 1/2. In the particular case ... Note: The complete abstract is available with the
Publicado em: 2007
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5. Existence and stability of periodic optical solitons / Existencia e estabilidade de solitons opticos periodicos para um sistema de equações do tipo Schrodinger
In this thesis we study the following nonlinear Schrodinger type system ... Note: The complete abstract in available with the full electronic digital thesis or dissertations
Publicado em: 2007
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6. The Cauchy problem associated to a system of coupled third-order nonlinear Schrodinger equation / O problema de Cauchy para um sistema de equações do tipo Schrodinger não linear de terceira ordem
Neste trabalho estudamos o problema de Cauchy associado a um sistema de Equações do tipo Schrodinger não linear de terceira ordem. Obtemos resultados de boa colocação local para o problema, com dado inicial nos espaços de Sobolev Hs(R) x Hs(R), s >ou = 1/4 e no caso períodico em Hs(T)xHs(T), s >ou = 1/2. No caso particular sigma alfa = sigma beta = si
Publicado em: 2007
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7. Existencia e multiplicidade de soluções para a Equação de Schrodinger não-linear em Rn / Existence and multiplicity of solutions for the non-linear Schrodinger Equation in Rn
In this dissertation we get resulted of multiplicity of not trivial weak solutions for the problem -Du + V (x)u = f (x; u); x 2 RN; where V is continuous, f is C1, with f (x; 0) = 0 and f is asymptotically linear. We use variationals methods and the theory of critical groups, to get and to distinguish the solutions. We also present results of existence of no
Publicado em: 2007
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8. Soliton dynamics of magnetization driven by a magnetic field in uniaxial anisotropic ferromagnet
We study the nonlinear magnetic excitation in an anisotropic ferromagnet with a magnetic field. In the long wave approximation, the Landau-Lifschitz equation with easy axis anisotropy is transformed into the nonlinear Schrödinger type. By means of a straightforward Darboux transformation we obtain the one- and two-soliton solutions of uniaxial anisotropic f
Brazilian Journal of Physics. Publicado em: 2006-12
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9. Simulação numérica da intermitência alfvência na heliosfera na presença de ruído / Numerical simulation of alfvénic intermittency in heliosphere in the presence of noise
The study of intermittency and chaos is necessary for our understanding of the complex physical processes governing the Sun-Earth relation, where the presence of multiple steady states can lead to complex dynamics if there is a stocastic source. The objective of this work is to apply the chaos theory to investigate the intermittent nature of the heliospheric
Publicado em: 2006
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10. Why is Schrödinger's equation linear?
Information-theoretic arguments are used to obtain a link between the accurate linearity of Schr¨odinger's equation and Lorentz invariance: A possible violation of the latter at short distances would imply the appearance of nonlinear corrections to quantum theory. Nonlinear corrections can also appear in a Lorentz invariant theory in the form of higher deri
Brazilian Journal of Physics. Publicado em: 2005-06
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11. O problema de Cauchy para a equação de Schrodinger não-linear não-local
ln this work we establish some properties of the nonlocal nonlinear Schrodinger equation (NLSNL). First of alI, we present a preliminary chapter with notations and basic theory used to establish our results; that part also seeks to facilitate the reading of this work. Soon afterwards comes the main result: local welI-posedness for the initial value problem (
Publicado em: 2005
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12. Analysis of attracting and non-attracting chaotic sets in low and high-dimensional dynamical systems: application to the dynamics of plasma waves in the sun-earth connection / Análise de conjuntos caóticos atrativos e não atrativos em sistemas dinâmicos de baixa e alta dimensão: aplicação para a dinâmica de ondas de plasma na conexão sol - terra
In this work we present a numerical study on the interaction between chaotic attractors and nonattracting chaotic sets in mathematical models that describe the nonlinear dynamics of plasma waves in the Sun-Earth connection. The work is divided in two parts. In the first part we analyze a low-dimensional dynamical system describing stationary Alfv´en waves m
Publicado em: 2003