| Document Type
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BL
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| Record Number
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1035103
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b789473
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| Main Entry
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Debnath, Lokenath.
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| Title & Author
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Nonlinear Waves /\ edited by Lokenath Debnath.
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| Publication Statement
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Cambridge :: Cambridge University Press,, 1983.
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| Series Statement
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Cambridge monographs on mechanics and applied mathematics.
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| Page. NO
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1 online resource (372 pages)
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| ISBN
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0511569505
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: 9780511569500
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9780521093040
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9780521254687
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Cover; Title; Copyright; Contents; PREFACE; PART I NONLINEAR WAVES IN FLUIDS; 1. Towards the Analytic Description of Overturning Waves; 2. The Korteweg-de Vries Equation and Related Problems; 3. Solitary Waves in Slowly Varying Environments: Long; 4. Nonlinear Waves in a Channel; 5. Soliton Behaviour in Models of Baroclinic Instability; 6. Waves and Wave Groups in Deep Water; 7. Two-and Three-Wave Resonance; PART II NONLINEAR WAVES IN PLASMAS; 8. Nonlinear Electromagnetic Waves in Flowing Plasma; 9. Superluminous Waves in Plasmas.
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10. Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field11. Solitons in Plasma Physics; 12. A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma; PART III SOLITONS, INVERSE SCATTERING TRANSFORM, AND NONLINEAR WAVES IN PHYSICS; 13. On the Inverse Scattering Transform in Two Spatial and One Temporal Dimensions; 14. Linear Evolution Equations Associated with Isospectral Evolutions of Differential Operators; 15. Inverse Scattering for the Matrix Schrbdinger Equation with Non-Hermitian Potential; 16. A General nth Order Spectral Transform.
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17. Recurrence Phenomena and the Number of Effective Degrees of Freedom in Nonlinear Wave Motions18. Action-Angle Variables in the Statistical Mechanics of the Sine-Gordon Field; INDEX.
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| Abstract
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The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.
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Evolution equations.
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Fluid dynamics.
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Inverse scattering transform.
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Nonlinear waves.
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Plasma (Ionized gases)
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Evolution equations.
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Fluid dynamics.
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Inverse scattering transform.
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Nonlinear waves.
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Plasma (Ionized gases)
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| Dewey Classification
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531/.1133
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| LC Classification
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QA927 -- N665 1983eb
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| Added Entry
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Cambridge University Press.
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