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The Significance of Nonlinearity in the Natural Sciences

  • Book
  • © 1977

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Authors:
  1. Orbis Scientiae
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  2. Behram Kursunoglu

    1. Center for Theoretical Studies, University of Miami, Coral Gables, USA

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  3. Mou-Shan Chen

    1. Center for Theoretical Studies, University of Miami, Coral Gables, USA

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  4. Joseph Hubbard

    1. Center for Theoretical Studies, University of Miami, Coral Gables, USA

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  5. Michel Mille

    1. Center for Theoretical Studies, University of Miami, Coral Gables, USA

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  6. Mario Rasetti

    1. Center for Theoretical Studies, University of Miami, Coral Gables, USA

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Editors:
  1. Arnold Perlmutter

    1. Center for Theoretical Studies, University of Miami, Coral Gables, USA

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  2. Linda F. Scott

    1. Center for Theoretical Studies, University of Miami, Coral Gables, USA

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Part of the book series: Studies in the Natural Sciences (SNS, volume 13)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-viii
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  2. Some Recent Developments on Solitons in Two-Dimensional Field Theories

    • Andre Neveu
    Pages 1-15

  3. Path Integral Quantization of Solitons

    • A. Jevicki
    Pages 17-38

  4. Nontopological Solitons

    • R. Friedberg
    Pages 39-56

  5. Vacuum Bubble Instantons

    • P. H. Frampton
    Pages 57-65

  6. Nonlinear Deep Water Waves: A Physical Testing Ground for Solitons and Recurrence

    • Henry C. Yuen, Bruce M. Lake
    Pages 67-96

  7. Solitons as Particles, and the Effects of Perturbations

    • D. J. Kaup
    Pages 97-119

  8. The Formulation of Variational Principles by Means of Clebsch Potentials

    • Hanno Rund
    Pages 121-143

  9. Coherent Structures in Fluid Dynamics

    • N. J. Zabusky
    Pages 145-206

  10. Collisionless Multiphoton Dissociation of SF6: A Statistical Thermodynamic Process

    • Eli Yablonovitch
    Pages 207-226

  11. Structure of the Vibrational States in the v3-Fundamental and Its Overtones in SF6 and Multiphoton Absorption Effects

    • H. W. Galbraith, C. D. Cantrell
    Pages 227-264

  12. Review of Rotational Structure in Excited Vibrational States of Spherical-Top Molecules

    • Kenneth Fox
    Pages 265-292

  13. Isotope Effects in Molecular Multiquantum Amplitudes

    • C. K. Rhodes, C. D. Cantrell
    Pages 293-325

  14. Spatio-Temporal Structuration in Immobilized Enzyme Systems

    • J. P. Kernevez, M. C. Duban, C. Joly, D. Thomas
    Pages 327-353

  15. Theories and Conjectures on Membrane-Supported Waves and Patterns

    • Paul C. Fife
    Pages 355-368

  16. Physical Mechanisms of Nerve Excitability

    • Harold Lecar
    Pages 369-398

  17. Of Trials and Errors

    • Feza Gürsey
    Pages 399-408

  18. Back Matter

    Pages 409-423
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Keywords

About this book

In accordance with the established tradition of these annual meetings under the aegis of Orbis Scientiae we have, this year, included the very important field of "The Significance of Non­ linearity in the Natural Sciences." We are pleased to join many scientists in recognizing the nonlinearity arising from the under­ lying interaction of all natural phenomena. It is tempting to say that in the long run things are nonlinear and that we shall have to design new techniques and methods to solve nonlinear equations. This year's Orbis Scientiae did include four sessions on nonlinear equations pertaining to elementary particle physics, molecular physics, fluid dynamics, and also to biology. Our Center intends to pursue the inclusions of these topics in its future Orbis Scientiae. Appreciation is extended to Mrs. Helga S. Billings, Mrs. Elva Brady, and Ms. Yvonne L. Leber for their skillful typing of the proceedings, which they have performed with great enthusiasm and dedication. The Editors v CONTENTS Some Recent Developments on Solitons in Two-Dimensional Field Theories 1 Andre Neveu Path Integral Quantization of Solitons. . . . . . . . . . 17 A. Jevicki Nontopological Solitons 39 R. Friedberg Vacuum Bubble Instantons 57 P. H. Frampton Nonlinear Deep Water Waves: A Physical Testing Ground for Solitons and Recurrence . . . . . 67 Henry C. Yuen and Bruce M. Lake Solitons as Particles, and the Effects of Perturbations . . . . 97 D. J. Kaup The Formulation of Variational Principles by Means of Clebsch Potentials .

Authors, Editors and Affiliations

  • Center for Theoretical Studies, University of Miami, Coral Gables, USA

    Arnold Perlmutter, Linda F. Scott, Behram Kursunoglu, Mou-Shan Chen, Joseph Hubbard, Michel Mille, Mario Rasetti

Bibliographic Information

  • Book Title: The Significance of Nonlinearity in the Natural Sciences

  • Authors: Orbis Scientiae, Behram Kursunoglu, Mou-Shan Chen, Joseph Hubbard, Michel Mille, Mario Rasetti

  • Editors: Arnold Perlmutter, Linda F. Scott

  • Series Title: Studies in the Natural Sciences

  • DOI: https://doi.org/10.1007/978-1-4684-7224-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1977

  • Softcover ISBN: 978-1-4684-7226-4Published: 14 March 2013

  • eBook ISBN: 978-1-4684-7224-0Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: VIII, 423

  • Number of Illustrations: 49 b/w illustrations

  • Topics: Theoretical, Mathematical and Computational Physics

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