Topics in Soliton Theory
eBook - PDF

Topics in Soliton Theory

  1. 427 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Topics in Soliton Theory

About this book

When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable systems theory with virtually all branches of mathematics (and with many currently developing areas of theoretical physics) illustrates the importance of this area. This book concentrates on developing the theme of the tau function. KdV and KP equations are treated extensively, with material on NLS and AKNS systems, and in following the tau function theme one is led to conformal field theory, strings, and other topics in physics. The extensive list of references contains about 1000 entries.

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Yes, you can access Topics in Soliton Theory by R.W. Carroll in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Front Cover
  2. Topics in Soliton Theory
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. CHAPTER 1. KdV and KP; ANALYTIC METHODS
  7. CHAPTER 2. SYSTEMS AND ALGEBRAIC METHODS
  8. CHAPTER 3. PHYSICS
  9. APPENDIX A. DIFFERENTIAL GEOMETRY AND ELEMENTARY HAMILTONIAN THEORY
  10. APPENDIX B. RIEMANN SURFACES AND ALGEBRAIC CURVES
  11. REFERENCES
  12. INDEX