Waves Called Solitons

1. Front Matter

   Pages I-XIX

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2. Basic Concepts and the Discovery of Solitons

   • Michel Remoissenet

   Pages 1-11

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3. Linear Waves in Electrical Transmission Lines

   • Michel Remoissenet

   Pages 12-36

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4. Solitons in Nonlinear Transmission Lines

   • Michel Remoissenet

   Pages 37-64

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5. More on Transmission-Line Solitons

   • Michel Remoissenet

   Pages 65-97

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6. Hydrodynamic Solitons

   • Michel Remoissenet

   Pages 98-136

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7. Mechanical Solitons

   • Michel Remoissenet

   Pages 137-167

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8. Fluxons in Josephson Transmission Lines

   • Michel Remoissenet

   Pages 168-181

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9. Solitons in Optical Fibers

   • Michel Remoissenet

   Pages 182-201

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10. The Soliton Concept in Lattice Dynamics

    • Michel Remoissenet

    Pages 202-224

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11. A Look at Some Remarkable Mathematical Techniques

    • Michel Remoissenet

    Pages 225-245

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12. Back Matter

    Pages 247-260

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Encouraged by the friendly reception given to the first edition, I have preserved its basic form and most of the details. Apart from some corrections, minor changes, and addition of references where it was necessary, I have made the following changes. Chapter 1 was expanded by a discussion of the discovery of soli tons in the field of electromagnetic waves and optics. A new section devoted to nonlinear transmission lines and their applications in the microwave range has been added to Chap. 3. It seems to me that it was important to describe laboratory experiments on modulational instability, and subsequent generation of solitons, both in electrical transmission lines and in deep water in Chaps. 4 and 5. A description of a very simple experimental pocket version of the mechanical transmission line has been included in Chap. 6. Such a versatile and useful device should stimulate a practical approach to soli ton physics. Chapter 7 was completed by a short presentation of some recent experimental results on discrete Josephson transmission lines. A discussion of the experimental modulational instability of coupled optical waves and a simple look at quantum solitons were added to Chap. 8 in order to introduce the reader to such remarkable topics. Of the many people who made valuable comments on the first edition, I am particularly grateful to M. Dragoman, Y. S. Kivshar and A. W. Snyder. I would like to thank R. S. MacKay whose corrections and suggestions helped refine the manuscript of this second edition.

• Nonlinear Transmission Line
• Quantum Solition
• Soliton
• Transmission
• optics
• fluid- and aerodynamics

• Laboratoire de Physique, Phénomènes non-linéaires — URA CNRS no 1796, Université de Bourgogne, Dijon, France

  Michel Remoissenet

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