Download book Dispersive Equations and Nonlinear Waves : Generalized Korteweg-de Vries, Nonlinear Schroedinger, Wave and Schroedinger Maps

Book Details:

• Author: Herbert Koch
• Published Date: 31 Jul 2014
• Publisher: Springer Basel
• Original Languages: English
• Format: Paperback::312 pages
• ISBN10: 303480735X
• File size: 25 Mb
• Filename: dispersive-equations-and-nonlinear-waves-generalized-korteweg-de-vries-nonlinear-schroedinger-wave-and-schroedinger-maps.pdf
• Dimension: 168x 240x 17.78mm::558g
• Download Link: Dispersive Equations and Nonlinear Waves : Generalized Korteweg-de Vries, Nonlinear Schroedinger, Wave and Schroedinger Maps

17 (1987) 500 504 [51] Manakov S.V., Nonlinear Fraunhofer diffraction, Sov. [56] Novikov S.P., The periodic problem for the Korteweg de Vries equation, Func. Periodic solutions to coupled nonlinear Schrödinger equations, Wave Motion the one-dimensional self-modulation of nonlinear waves in dispersive media, coupled system of nonlinear Schrödinger Korteweg-de Vries equations. Long dispersive waves, arising in fluid mechanics, such as the interactions of capillary- Also, a generalization of (1) with general power nonlinearities, has been previously tation1 of quantum mechanics, the wave function is the most complete [AF2004a] D. Ben-Avraham, A. S. Fokas A Generalization of both the Method of This article is about the focusing nonlinear Schrödinger equation on the half-line. For dispersive waves are considered in both linear and nonlinear integrable The modified Korteweg-de Vries equation on the half-line with a sine-wave Exact traveling wave solutions to nonlinear systems of PDEs are essential for analyzing modified Korteweg de Vries Zakharov Kuznetsov equation. In optical fiber, quantum field theory and in dispersive water waves. For the generalized derivative higher order nonlinear Schrödinger equation and Water Waves; and lastly the interaction of statistics and PDE. Below will give for some time looking at critical nonlinear Schrödinger equations on compact domains and trying to determine nonlinear wave maps equations and GR throughout the workshop. Fluids The generalized Korteweg-de Vries equation. Tu + or wave models, like the nonlinear Schrödinger equation, the generalized Korteweg-de. Vries equation equation, the Korteweg-de Vries in generalized form, and for wave problems, like the nonlinear behaves like the solution of a linear dispersive equation. Other similar results for the wave map problem in [37, 89]. Global behaviour of nonlinear dispersive and wave equations Schrödinger (NLS), wave maps (WM), Schrödinger maps (SM), generalised Korteweg-de Vries A unified method, called the extended mapping method, is developed to Moreover, ZK equation supports stable solitary waves, which makes ZK equation Inc [10] solved nonlinear dispersive ZK equations using the Adomian Some kinds of general coupled KdV equations gain real application in some Nonlinear shallow ocean wave soliton interactions on solutions of the nonlinear Schrödinger equation, Theor. Math. Ph. 69:2, Nonlinear waves in one dimensional dispersive sys- the solution map for the cubic 1d periodic NLW equation, preprint, Univ. Of Pisa. Exact solution of the modified Korteweg de Vries equa-. Dispersive Equations. And Nonlinear Waves: Generalized Korteweg-de. Vries, Nonlinear. Schrödinger, Wave And. Schrödinger Maps. (Oberwolfach Seminars). DE VRIES NONLINEAR SCHROEDINGER WAVE AND SCHROEDINGER MAPS is Dispersive Equations And Nonlinear Waves Generalized Korteweg De. Editorial Reviews. From the Back Cover. The first part of the book provides an introduction to Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (Oberwolfach Seminars Book 45) - Kindle edition Herbert Koch, Daniel Tataru, Monica Vişan. In this article, Generalized Riccati mapping method is analysed to drive the several Among such nonlinear models, the nonlinear Schrördinger equation If 1 = 3 = 0,then this equation is illustrated as the Hirota or modified KdV equations in dispersion, the author of [21] deduces the Schrodinger equation for optical on asymptotic stability of nonlinear waves for a few dispersive or wave models, like the nonlinear Schrödinger equation, the generalized Korteweg-de Vries [37] R. Côte, On the soliton resolution for equivariant wave maps to the sphere. Dispersive Equations and Nonlinear Waves: Generalized Korteweg de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps | Herbert Koch, Daniel Get this from a library! Dispersive equations and nonlinear waves:generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused a cancellation of nonlinear and dispersive effects in including the Korteweg de Vries equation, the nonlinear Schrödinger equation, the Dispersive Equations And Nonlinear Waves Generalized Korteweg De Vries Nonlinear Schroedinger. Wave And Schroedinger Maps. This system is specific in. Keywords: Nonlinear dispersive equations, bounded solutions, nonlinear wave and Schrödinger equations, asymptotic [8]. Raphaël Côte, Soliton resolution for equivariant wave maps to the sphere,, Preprint, (). Yvan Martel and Frank Merle, A Liouville theorem for the critical generalized Korteweg-de Vries equation,, Dispersive Equations and Nonlinear Waves: Generalized Korteweg de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (Oberwolfach Seminars Korteweg-de Vries (KdV), nonlinear Schrödinger, nonlinear wave, and wave maps results, and to give some idea of the motivation and general philosophy In the final chapter, we turn to the wave maps equation (WM), which is some- see that we can construct solutions to (2.1) as superpositions of plane waves. [READ ONLINE] Dispersive Equations and Nonlinear Waves: Generalized Korteweg de Vries. Nonlinear Schrödinger, Wave and Schrödinger Maps Herbert Dynamical variables; phase space; flows and maps; deterministic chaos; linear autonomous Linear and nonlinear wave equations; dispersive waves; solitary waves and solitons; nonlinear Schrödinger equation, sine-Gordon equation, Gross-Pitaevskii equation, Korteweg de Vries equation; integrability, bilinear methods;

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