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Topics 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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Carroll, Robert W., 1930-2012
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1991.
Colección:North-Holland mathematics studies ; 167.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Carroll, Robert W.,  |d 1930-2012. 
245 1 0 |a Topics in soliton theory /  |c Robert W. Carroll. 
260 |a Amsterdam ;  |a New York :  |b North-Holland ;  |a New York, N.Y., U.S.A. :  |b Distributors for the U.S. and Canada, Elsevier Science Pub. Co.,  |c 1991. 
300 |a 1 online resource (xii, 428 pages) :  |b illustrations 
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490 1 |a North-Holland mathematics studies ;  |v 167 
520 |a 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. 
504 |a Includes bibliographical references (pages 397-419) and index. 
588 0 |a Print version record. 
505 0 |a 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. 
546 |a English. 
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650 0 |a Mathematical physics. 
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653 0 |a Differential equations 
776 0 8 |i Print version:  |a Carroll, Robert Wayne, 1930-  |t Topics in soliton theory.  |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1991  |z 0444888691  |z 9780444888693  |w (DLC) 91036763  |w (OCoLC)24546105 
830 0 |a North-Holland mathematics studies ;  |v 167. 
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