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Singular Limits of Dispersive Waves

  • Book
  • © 1994

Overview

Editors:
  1. N. M. Ercolani

    1. University of Arizona, Tucson, USA

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  2. I. R. Gabitov

    1. Landau Institute for Theoretical Physics, Moscow, Russia

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  3. C. D. Levermore

    1. University of Arizona, Tucson, USA

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  4. D. Serre

    1. Ecole Normale Superieure de Lyon, Lyon, France

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Part of the book series: NATO Science Series B: (NSSB, volume 320)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. The Whitham Equation and Shocks in the Toda Lattice

    • A. M. Bloch, Y. Kodama
    Pages 1-19

  3. Semiclassical Behavior in the NLS Equation: Optical Shocks - Focusing Instabilities

    • Jared C. Bronski, David W. McLaughlin
    Pages 21-38

  4. A Numerical Study of Nearly Integrable Modulation Equations

    • M. Gregory Forest, Amarendra Sinha
    Pages 39-52

  5. The Quasiclassical Limit of the Inverse Scattering Problem Method

    • V. V. Geogjaev
    Pages 53-59

  6. Solving Dispersionless Lax Equations

    • John Gibbons, Yuji Kodama
    Pages 61-66

  7. Nonisospectral Symmetries of the KdV Equation and the Corresponding Symmetries of the Whitham Equations

    • P. G. Grinevich
    Pages 67-88

  8. Breaking Problem in Dispersive Hydrodynamics

    • Gennady A. El’, Alexander V. Gurevich, Alexander L. Krylov
    Pages 89-104

  9. Whitham Deformations of Two - Dimensional Lioville Tori

    • V. Yu. Novokshenov
    Pages 105-116

  10. Higher Rank Darboux Transformations

    • Geoff Latham, Emma Previato
    Pages 117-134

  11. On the Initial Value Problem of the Whitham Averaged System

    • Fei Ran Tian
    Pages 135-141

  12. On the Integrability of the Averaged KdV and Benney Equations

    • Serguei P. Tsarev
    Pages 143-155

  13. Explicit Construction of The Lax-Levermore Minimizer for the KdV Zero Dispersion Limit

    • Otis C. Wright
    Pages 157-164

  14. Dispersionless Limit of Integrable Systems in 2 + 1 Dimensions

    • V. E. Zakharov
    Pages 165-174

  15. KdV Equation With Nontrivial Boundary Conditions at x → ±∞

    • R. F. Bikbaev
    Pages 175-181

  16. Long-Time Asymptotics for the Autocorrelation Function of the Transverse Ising Chain at the Critical Magnetic Field

    • P. Deift, X. Zhou
    Pages 183-201

  17. Resonances in Multifrequency Averaging Theory

    • S. Yu. Dobrokhotov
    Pages 203-217

  18. Billiards Systems and the Transport Equation

    • François Golse
    Pages 219-234

  19. The Behavior of Solutions of the NLS Equation in the Semiclassical Limit

    • Shan Jin, C. David Levermore, David W. McLaughlin
    Pages 235-255

  20. Critical and Subcritical Cases of the Toda Shock Problem

    • Spyridon Kamvissis
    Pages 257-271
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Keywords

Editors and Affiliations

  • University of Arizona, Tucson, USA

    N. M. Ercolani, C. D. Levermore

  • Landau Institute for Theoretical Physics, Moscow, Russia

    I. R. Gabitov

  • Ecole Normale Superieure de Lyon, Lyon, France

    D. Serre

Bibliographic Information

  • Book Title: Singular Limits of Dispersive Waves

  • Editors: N. M. Ercolani, I. R. Gabitov, C. D. Levermore, D. Serre

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4615-2474-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1994

  • Hardcover ISBN: 978-0-306-44628-3Published: 30 April 1994

  • Softcover ISBN: 978-1-4613-6054-4Published: 24 October 2012

  • eBook ISBN: 978-1-4615-2474-8Published: 06 December 2012

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: XIV, 369

  • Topics: Theoretical, Mathematical and Computational Physics

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