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Asymptotic analysis of soliton problems : an inverse scattering approach par Schuur,, Peter Cornelis. Publication : [S.l.] Springer 2009 . 192 p. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Hamiltonian methods in the theory of solitons par Faddeev, Ludwig. Publication : Berlin Springer 2007 . ix-592 p. , The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear SchrOdinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solution 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Kinks and domain walls an introduction to classical and quantum solitons par Vachaspati, T. Publication : Cambridge Cambridge University Press 2010 . pages cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Nonlinear optics par Mandel,, Paul. Publication : [S.l.] Wiley-VCH 2010 . 259 p. , Based on the author's extensive teaching experience and lecture notes, this textbook provides a substantially analytical rather than descriptive presentation of nonlinear optics. Divided into five parts, with most chapters corresponding to a two-hour lecture, the book begins with a unique account of the historical development from Kirchhoff's law for the black-body radiation to Planck's quantum hypothesis and Einstein's discovery of spontaneous emission - providing all the explicit proofs. The subsequent sections deal with matter quantization, ultrashort pulse propagation in 2-level media, cavity nonlinear optics, chi(2) and chi(3) media. For graduate and PhD students in nonlinear optics or photonics, while also representing a valuable reference for researchers in these fields. 24 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Optical solitons : from fibers to photonic crystals / par Kivshar,, Y. S. Publication : . 1 online resource (xvi, 540 pages) : , The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer networking and high speed data transmission technology people have been striving to develop faster and more reliable communications media. Optical pulses tend to broaden over relatively short distances due to dispersion, but solitons on the other hand are not as susceptible to the effects of dispersion, and although they are subject to losses due to attenuation they can be amplified without being received and re-transmitted. This book is the first to provide a thorough overview of optical solitons. The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping. It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including their stability and dynamics. Also, it will summarize a number of important experimental verification of the basic theoretical predictions and concepts covering the observation of self-focusing in the earlier days of nonlinear optics and the most recent experimental results on spatial solitons, vortex solitons, and soliton interaction and spiraling. * Introduces the fundamental concepts of the theory of nonlinear waves and solitons through realistic models * Material is based on authors' years of experience actively working in and researching the field * Summarizes the most important experimental verification of the basic theories, predictions and concepts of this ever evolving field from the earliest studies to the most recent. Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Physics of solitons par Dauxois, T. Publication : Cambridge Cambridge University Press 2010 . pages cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Physique des solitons par Peyrard, Michel Publication : Les Ulis | Paris EDP sciences | CNRS éd 2004 . XVIII-408 p. , Bibliogr. p. 397-406. Index 23 cm Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Soliton equations and hamiltonian systems par Dickey, L. A. Publication : [S.l.] World Scientific Pub Co Inc 2003 . 408 p. , The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green, Kruskal, and Mizura on the Korteweg-de Vries equation (KdV), which had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water. Besides its obvious practical use, this theory is attractive also because it satisfies the aesthetic need in a beautiful formula which is so inherent to mathematics. The second edition is up-to-date and differs from the first one considerably. One third of the book is completely new and the rest is refreshed and edited. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Bäcklund and Darboux transformations : geometry and modern applications in soliton theory / par Rogers, C. Publication : Cambridge ; | New York : Cambridge University Press, 2002 . 1 online resource (xvii, 413 pages) : Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Optical solitons : from fibers to photonic crystals / par Kivshar, Y. S. Publication : . 1 online resource (xvi, 540 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124105904,

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Solitons in optical fibers : fundamentals and applications / par Mollenauer, L. F. Publication : . 1 online resource (xv, 277 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780125041904,

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Spectral transform and solitons : tools to solve and investigate nonlinear evolution equations / par Calogero, F. Publication : . 1 online resource (v. <1>) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444863683,  http://www.sciencedirect.com/science/publication?issn=01682024&volume=13,

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Topics in soliton theory / par Carroll, Robert Wayne, Publication : . 1 online resource (xii, 428 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444888693,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=167,

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The inverse scattering transformation and the theory of solitons : an introduction / par Eckhaus, Wiktor. Publication : . 1 online resource (xi, 222 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444861665,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=50,

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