Screen LibraryTopics in soliton theory /
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...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
North-Holland ; Distributors for the U.S. and Canada, Elsevier Science Pub. Co.,
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| Publisher Address: | Amsterdam ; New York : New York, N.Y., U.S.A. : |
| Publication Dates: | 1991. |
| Literature type: | eBook |
| Language: | English |
| Series: |
North-Holland mathematics studies ;
167 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/03040208/167 |
| Summary: |
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. |
| Carrier Form: | 1 online resource (xii, 428 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 397-419) and index. |
| ISBN: |
9780444888693 0444888691 9780080872780 0080872786 1281789445 9781281789440 |
| Index Number: | QC174 |
| CLC: | O413.1 |
| Contents: | Front Cover; Topics in Soliton Theory; Copyright Page; Preface; Table of Contents; CHAPTER 1. KdV and KP; ANALYTIC METHODS; CHAPTER 2. SYSTEMS AND ALGEBRAIC METHODS; CHAPTER 3. PHYSICS; APPENDIX A. DIFFERENTIAL GEOMETRY AND ELEMENTARY HAMILTONIAN THEORY; APPENDIX B. RIEMANN SURFACES AND ALGEBRAIC CURVES; REFERENCES; INDEX. |