Relevant bibliographies by topics / Schroedinger nonlineaire

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  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'Schroedinger nonlineaire'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Schroedinger nonlineaire"

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MAHMOOD, M. F., and S. B. QADRI. "MODELING PROPAGATION OF CHIRPED SOLITONS IN AN ELLIPTICALLY LOW BIREFRINGENT SINGLE-MODE OPTICAL FIBER." Journal of Nonlinear Optical Physics & Materials 08, no. 04 (1999): 469–75. http://dx.doi.org/10.1142/s0218863599000345.

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An analytical description is presented, for the first time, to describe propagation dynamics of chirped solitons in an elliptically low birefringent optical fiber within the framework of a model described by coupled nonlinear Schroedinger equations. Using nonlinear Schroedinger solitons as trial functions in an averaged Lagrangian formulation, a set of ordinary differential equations (ODEs) are derived for various soliton parameters. These ODEs describe chirped soliton dynamics and give a criterion for nonlinear coupling of polarized pulses to form a bound state corresponding to a phase mismat
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Benci, Vieri, Marco Ghimenti, and Anna Maria Micheletti. "The nonlinear Schroedinger equation: Solitons dynamics." Journal of Differential Equations 249, no. 12 (2010): 3312–41. http://dx.doi.org/10.1016/j.jde.2010.09.026.

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ABLOWITZ, MARK J., and CONSTANCE M. SCHOBER. "HAMILTONIAN INTEGRATORS FOR THE NONLINEAR SCHROEDINGER EQUATION." International Journal of Modern Physics C 05, no. 02 (1994): 397–401. http://dx.doi.org/10.1142/s012918319400057x.

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Hamiltonian integration schemes for the Nonlinear Schroedinger Equation are examined. The efficiency with respect to accuracy and integration time of an integrable scheme, a standard conservative scheme, and a symplectic method is compared.
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Mahmood, M. F. "Polarized Chirped Soliton Oscillations in a Lossy Elliptically Low Birefringent Optical Fiber." Zeitschrift für Naturforschung A 55, no. 11-12 (2000): 941–44. http://dx.doi.org/10.1515/zna-2000-11-1220.

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Abstract Using a variational method, a new model of the nonlinear propagation of optical solitons generated from semiconductor lasers through a lossy elliptically low birefringent fiber, is presented within the frame-work of a system of coupled nonlinear Schroedinger (CNLS) equations. This model demonstrates polarized soliton oscillations in a lossy elliptically low birefringent fiber.
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Kim, Jong Uhn. "Invariant measures for a stochastic nonlinear Schroedinger equation." Indiana University Mathematics Journal 55, no. 2 (2006): 687–718. http://dx.doi.org/10.1512/iumj.2006.55.2701.

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Skibsted, Erik. "Propagation estimates forN-body Schroedinger operators." Communications in Mathematical Physics 142, no. 1 (1991): 67–98. http://dx.doi.org/10.1007/bf02099172.

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Degasperis, A., S. V. Manakov, and P. M. Santini. "Multiple-scale perturbation beyond the nonlinear Schroedinger equation. I." Physica D: Nonlinear Phenomena 100, no. 1-2 (1997): 187–211. http://dx.doi.org/10.1016/s0167-2789(96)00179-0.

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Plastino, A. R., and C. Tsallis. "Nonlinear Schroedinger equation in the presence of uniform acceleration." Journal of Mathematical Physics 54, no. 4 (2013): 041505. http://dx.doi.org/10.1063/1.4798999.

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Hidano, Kunio. "Nonlinear Schroedinger Equations with Radially Symmetric Data of Critical Regularity." Funkcialaj Ekvacioj 51, no. 1 (2008): 135–47. http://dx.doi.org/10.1619/fesi.51.135.

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Rasmussen, J. Juul, and K. Rypdal. "Blow-up in Nonlinear Schroedinger Equations-I A General Review." Physica Scripta 33, no. 6 (1986): 481–97. http://dx.doi.org/10.1088/0031-8949/33/6/001.

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Dissertations / Theses on the topic "Schroedinger nonlineaire"

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Chevriaux, D. "Supratransmission et bistabilité nonlinéaire dansles milieux à bandes interdites photoniques et électroniques." Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2007. http://tel.archives-ouvertes.fr/tel-00180987.

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On étudie, dans cette thèse, la diffusion d'ondes dans différents milieux nonlinéaires possédant une bande interdite naturelle. On montre, en particulier, l'existence d'un comportement de bistabilité dans les milieux régis, soit par l'équation de sine-Gordon (chaîne de pendules courte, réseaux de jonctions Josephson, double couches à effet Hall quantique), soit par l'équation de Schrödinger nonlinéaire (milieu Kerr et milieu de Bragg), dans les cas discrets et continus. Ces différents milieux sont soumis à des conditions aux bords périodiques, dont la fréquence est prise dans la bande interdit
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Coleman, James. "Blowup phenomena for the vector nonlinear Schroedinger equation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ63694.pdf.

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Jin, Shan. "The semiclassical limit of the defocusing nonlinear Schroedinger flows." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185687.

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The Lax-Levermore strategy for analyzing the zero-dispersion limit of the KdV equation through its inverse scattering transform can be adapted to study the semiclassical limits of the defocusing nonlinear Schrodinger (NLS) equation, which are in fact the limits of corresponding conservation laws. The weak limits of all conserved densities and their fluxes can be characterized in terms of the solution of a variational problem that in turn can be solved using function theory. These results rest on a new formula for the N-soliton solutions and a WKB analysis of the semiclassical limit for the dir
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Khan, K. B. "The nonlocal-nonlinear-Schroedinger-equation model of superfluid '4He." Thesis, University of Exeter, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267224.

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Schober, Constance Marie. "Numerical and analytical studies of the discrete nonlinear Schroedinger equation." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185595.

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Certain conservative discretizations of the Nonlinear Schroedinger (NLS) Equation can produce irregular behavior. We consider the diagonal discretization as a conservative perturbation of the integrable discretization and study the homoclinic crossings in its nonlinear spectrum. We find that irregularity sets in for the two unstable mode regime and, in this case, many and continual homoclinic crossings occur throughout the irregular time series. We undertake an analysis to determine the mechanism that causes the "chaotic" behavior to appear in this conservatively perturbed NLS equation. This a
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Cruz-Pacheco, Gustavo. "The nonlinear Schroedinger limit of the complex Ginzburg-Landau equation." Diss., The University of Arizona, 1995. http://hdl.handle.net/10150/187238.

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This work consists of a study of the complex Ginzburg-Landau equation (CGL) as a perturbation of the nonlinear Schrodinger equation (NLS) in one dimension under periodic boundary conditions. Using an averaging technique which is similar to a Melnikov method for pde's, necessary conditions are derived for the persistence of NLS solutions under the CGL perturbation. For the traveling wave solutions, these conditions are derived for a general nonlinearity and written explicitly as two equations for the two continuous parameters which determine the NLS traveling wave. It is shown using a Melnikov
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Shipman, Stephen Paul 1968. "A continuum limit of a finite discrete nonlinear Schroedinger system." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/288763.

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A continuum limit of a discrete nonlinear Schrodinger system of ordinary differential equations is analyzed. The central question is the relation between the solution of the formally derived limiting system of partial differential equations and the limiting behavior of the solutions to the discrete systems. By setting appropriate boundary conditions on the initial data, a finite subchain decouples, and this system is known to be integrable and solvable by an inverse spectral method. In this thesis, it is found that subunitary data give rise to eigenvalues which are unitary and weighting consta
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Dodson, Benjamin Taylor Michael Eugene. "Caustics and the indefinite signature Schroedinger equation linear and nonlinear /." Chapel Hill, N.C. : University of North Carolina at Chapel Hill, 2009. http://dc.lib.unc.edu/u?/etd,2306.

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Thesis (Ph. D.)--University of North Carolina at Chapel Hill, 2009.<br>Title from electronic title page (viewed Jun. 26, 2009). "... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics." Discipline: Mathematics; Department/School: Mathematics.
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Barran, Sunil Kumar. "Modulation of the harmonic soliton solutions for the defocusing nonlinear Schroedinger equation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ40028.pdf.

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Roskey, Daniel Eric. "On the Role of Linear Processes in the Development and Evolution of Filaments in Air." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/194509.

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It is well known that ultrashort, high intensity pulses with peak powers exceedinga certain critical value (Pcr) undergo self-focusingleading to collapse and filamentation. During the initial stagesof propagation at low intensities the beamdynamics are dominated by diffraction and dispersion. During filamentation, self-focusing resulting from the nonlinear Kerr effect is balanced by higher order nonlinearities such as plasma induced defocusing and absorption.This work examines the role that linear processes combined with initial spatial and temporal conditioningplay in the generation and sub
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Books on the topic "Schroedinger nonlineaire"

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Sulem, Catherine, and Pierre-Louis Sulem. Nonlinear Schroedinger Equations: Self-Focusing and Wave Collapse (Applied Mathematical Sciences/139). Springer, 1999.

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Nonlinear Klein-Gordon and Schroedinger systems: Theory and applications : proceedings of the Euroconference, San Lorenzo de El Escorial, Madrid, Spain, 25-30 September 1995. World Scientific, 1996.

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Book chapters on the topic "Schroedinger nonlineaire"

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Folli, Viola. "Nonlinear Schroedinger Equation." In Springer Theses. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-4513-1_2.

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Folli, Viola. "Disordered Nonlinear Schroedinger Equation." In Springer Theses. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-4513-1_4.

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Boyd, John P. "Nonlinear Wavepackets and Nonlinear Schroedinger Equation." In Dynamics of the Equatorial Ocean. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55476-0_17.

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Folli, Viola. "Weakly Disordered Nonlinear Schroedinger Equation." In Springer Theses. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-4513-1_3.

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Dorlas, T. C. "Rigorous Bethe Ansatz for the Nonlinear Schroedinger Model." In On Three Levels. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2460-1_51.

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Shvets, V. F., N. E. Kosmatov, and B. J. LeMesurier. "On Collapsing Solutions of the Nonlinear Schroedinger Equation in Supercritical Case." In Singularities in Fluids, Plasmas and Optics. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2022-7_24.

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Mahmood, M. F., and T. L. Gill. "Analytical Approaches to Solving Coupled Nonlinear Schroedinger Equations Using Maple V." In Maple V: Mathematics and its Applications. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0263-9_10.

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Boyd, John P. "Envelope Solitary Waves: Third Order Nonlinear Schroedinger Equation and the Klein-Gordon Equation." In Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5825-5_13.

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Kenkre, V. M. "The Discrete Nonlinear Schroedinger Equation: Nonadiabatic Effects, Finite Temperature Consequences, and Experimental Manifestations." In Davydov’s Soliton Revisited. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4757-9948-4_43.

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Petrukhnovsky, S. I. "An Existence Theorem for Some Nonlinear Nonlocal Schroedinger Operators and the Soliton-Like Solutions for the Corresponding Dynamic Systems." In Order,Disorder and Chaos in Quantum Systems. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7306-2_32.

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Conference papers on the topic "Schroedinger nonlineaire"

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Akhmediev, N. N., and A. Ankiewicz. "Does the Nonlinear Schroedinger Equation Correctly Describe Beam Propagation?" In Integrated Photonics Research. OSA, 1993. http://dx.doi.org/10.1364/ipr.1993.imb14.

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Zaslavsky, George M., and Vasily E. Tarasov. "Fractional Generalization of Ginzburg-Landau and Nonlinear Schroedinger Equations." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84266.

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The fractional generalization of the Ginzburg-Landau equation is derived from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some different forms of the fractional Ginzburg-Landau equation or nonlinear Schro¨dinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied.
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Li, Zhonghao, Guosheng Zhou, and Dachun Su. "N-soliton solutions in the higher-order nonlinear Schroedinger equation." In Photonics China '98, edited by Shuisheng Jian, Franklin F. Tong, and Reinhard Maerz. SPIE, 1998. http://dx.doi.org/10.1117/12.318024.

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Wahls, Sander, Markus Bruehl, Yang-Ming Fan, and Ching-Jer Huang. "Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18676.

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Abstract Nonlinear Fourier Analysis (NFA) is a powerful tool for the analysis of hydrodynamic processes. The unique capabilities of NFA include, but are not limited to, the detection of hidden solitons and the detection of modulation instability, which are essential for the understanding of nonlinear phenomena such as rogue waves. However, even though NFA has been applied to many interesting problems, it remains a non-standard tool. Recently, an open source software library called FNFT has been released to the public. (FNFT is short for “Fast Nonlinear Fourier Transforms”.) The library in part
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Reports on the topic "Schroedinger nonlineaire"

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Pitts, Todd Alan, Mark Richard Laine, Jens Schwarz, Patrick K. Rambo, and David B. Karelitz. Derivation of an applied nonlinear Schroedinger equation. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1167671.

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