Verfügbarkeit: Solitons and the inverse scattering transform

Solitons and the inverse scattering transform:

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Bibliographische Detailangaben
Beteiligte Personen:	Ablowitz, Mark J. 1945- (VerfasserIn), Segur, Harvey (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Philadelphia SIAM 1981
Schriftenreihe:	Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. 4.
Schlagwörter:	Fourier-transformatie Inverse scattering techniek Problème inverse de diffusion Solitons Équations d'évolution non linéaires Inverse scattering transform Soliton Wellengleichung Inverse Streutheorie Strahlung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverzeichnis S. 393 - 414
Umfang:	X, 425 S.
ISBN:	0898711746

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Prologue ix Chapter 1: The Inverse Scattering Transform on the Infinite Interval 1 1.1. Introduction 1 1.2. Second order eigenvalue problems and related solvable partial differential equations 8 1.3. Derivation of a linear integral equation and inverse scattering on the infinite interval 15 1.4. Time dependence and special solutions 28 1.5. General evolution operator 42 1.6. Conservation laws and complete integrability 52 1.7. Long time behavior of the solutions 67 Exercises 84 Chapter 2: 1ST in Other Settings 93 2.1. Higher order eigenvalue problems and multidimensional scat¬ tering problems 93 2.2. Discrete problems 114 2.3. Periodic boundary conditions for the Korteweg deVries equation 134 Exercises 148 Chapter 3: Other Perspectives 151 Overview 151 3.1. Backlund transformations 153 3.2. Pseudopotentials and prolongation structures 161 3.3. Direct methods for finding soliton solutions—Hirota s method 171 vii viii CONTENTS 3.4. Rational solutions of nonlinear evolution equations 191 3.5. AT body problems and nonlinear evolution equations 203 3.6. Direct approaches with the linear integral equation 217 3.7. Painleve transcendents 233 3.8. Perturbations and transverse stability of solitons and solitary waves 250 Exercises 261 Chapter 4: Applications 275 4.1. KdV problems and their cousins 276 4.2. Three wave interactions 300 4.3. The nonlinear Schrodinger equation and generalizations . . 313 4.4. Equations of the sine Gordon type 327 4.5. Quantum field theory 339 Exercises 342 Appendix: Linear Problems 351 A.I. Fourier transforms 351 A.2. Failure of the Fourier transform method 373 Exercises 384 Bibliography 393 Index 415
any_adam_object	1
author	Ablowitz, Mark J. 1945- Segur, Harvey
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id	DE-604.BV001998403
illustrated	Not Illustrated
indexdate	2024-12-20T07:44:30Z
institution	BVB
isbn	0898711746
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001303552
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physical	X, 425 S.
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publishDate	1981
publishDateSearch	1981
publishDateSort	1981
publisher	SIAM
record_format	marc
series	Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics.
series2	Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics.
spellingShingle	Ablowitz, Mark J. 1945- Segur, Harvey Solitons and the inverse scattering transform Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. Fourier-transformatie gtt Inverse scattering techniek gtt Problème inverse de diffusion Problème inverse de diffusion ram Solitons Solitons gtt Solitons ram Équations d'évolution non linéaires Inverse scattering transform Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Inverse Streutheorie (DE-588)4561758-2 gnd Strahlung (DE-588)4057849-5 gnd
subject_GND	(DE-588)4135213-0 (DE-588)4065315-8 (DE-588)4561758-2 (DE-588)4057849-5
title	Solitons and the inverse scattering transform
title_auth	Solitons and the inverse scattering transform
title_exact_search	Solitons and the inverse scattering transform
title_full	Solitons and the inverse scattering transform Mark J. Ablowitz ; Harvey Segur*
title_fullStr	Solitons and the inverse scattering transform Mark J. Ablowitz ; Harvey Segur*
title_full_unstemmed	Solitons and the inverse scattering transform Mark J. Ablowitz ; Harvey Segur*
title_short	Solitons and the inverse scattering transform
title_sort	solitons and the inverse scattering transform
topic	Fourier-transformatie gtt Inverse scattering techniek gtt Problème inverse de diffusion Problème inverse de diffusion ram Solitons Solitons gtt Solitons ram Équations d'évolution non linéaires Inverse scattering transform Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Inverse Streutheorie (DE-588)4561758-2 gnd Strahlung (DE-588)4057849-5 gnd
topic_facet	Fourier-transformatie Inverse scattering techniek Problème inverse de diffusion Solitons Équations d'évolution non linéaires Inverse scattering transform Soliton Wellengleichung Inverse Streutheorie Strahlung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV001889480
work_keys_str_mv	AT ablowitzmarkj solitonsandtheinversescatteringtransform AT segurharvey solitonsandtheinversescatteringtransform

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