Soliton equations and their algebro-geometric solutions: 2 (1+1)-dimensional discrete models
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Ausgabe: | 1st. publ. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
114 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 438 |
| ISBN: | 9780521753081 |
Internformat
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV025682500 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 100417s2008 |||| 00||| eng d | ||
| 020 | |a 9780521753081 |9 978-0-521-75308-1 | ||
| 035 | |a (OCoLC)315895565 | ||
| 035 | |a (DE-599)BVBBV025682500 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 100 | 1 | |a Gesztesy, Fritz |d 1953- |e Verfasser |0 (DE-588)134200136 |4 aut | |
| 245 | 1 | 0 | |a Soliton equations and their algebro-geometric solutions |n 2 |p (1+1)-dimensional discrete models |c Fritz Gesztesy ; Helge Holden |
| 250 | |a 1st. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2008 | |
| 300 | |a X, 438 | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 114 | |
| 490 | 0 | |a Cambridge studies in advanced mathematics |v ... | |
| 650 | 0 | 7 | |a Lösung |g Mathematik |0 (DE-588)4120678-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Soliton |0 (DE-588)4135213-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wellengleichung |0 (DE-588)4065315-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Soliton |0 (DE-588)4135213-0 |D s |
| 689 | 0 | 1 | |a Wellengleichung |0 (DE-588)4065315-8 |D s |
| 689 | 0 | 2 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 1 | 1 | |a Lösung |g Mathematik |0 (DE-588)4120678-2 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Holden, Helge |d 1956- |e Verfasser |0 (DE-588)111693667 |4 aut | |
| 773 | 0 | 8 | |w (DE-604)BV025339183 |g 2 |
| 830 | 0 | |a Cambridge studies in advanced mathematics |v 114 |w (DE-604)BV000003678 |9 114 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019286832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-019286832 | ||
Datensatz im Suchindex
| _version_ | 1804141521025368064 |
|---|---|
| adam_text | SOLITON EQUATIONS AND THEIR ALGEBRO^GE:QMETRIC VOLUME II: (1 +
^-DIMENSIONAL DISCRETE MODELS FRITZ, GESZTESY UNIVERSITY OF MISSOURI,
COLUMBIA, MISSOURI, USA JOHANNA MICHOR UNIVERSITAT WIEN, * * * WIEN,
AUSTRIA HELGE HOLDEN NORWEGIAN UNIVERSITY OF SCIENCE AND . ^TECHNOLOGY,
TRONDHEIM, NORWAY GERALD TESCHL UNIVERSITAT WIEN, WIEN, AUSTRIA * * - LF
. ; . UNIVERSITY PRESS. CONTENTS ACKNOWLEDGMENTS PAGE IX INTRODUCTION 1
1 THE TODA HIERARCHY 25 1.1 CONTENTS 25 1.2 THE TODA HIERARCHY,
RECURSION RELATIONS, LAX PAIRS, AND HYPEREL LIPTIC CURVES 26 1.3 THE
STATIONARY TODA FORMALISM 41 1.4 THE STATIONARY TODA ALGEBRO-GEOMETRIC
INITIAL VALUE PROBLEM 72 1.5 THE TIME-DEPENDENT TODA FORMALISM 84 1.6
THE TIME-DEPENDENT TODA ALGEBRO-GEOMETRIC INITIAL VALUE PROBLEM 103 1.7
TODA CONSERVATION LAWS AND THE HAMILTBNIAN FORMALISM 117 1.8 NOTES 145 2
THE KAC-VAN MOERBEKE HIERARCHY 161 2.1 CONTENTS 161 2.2 THE KM HIERARCHY
AND ITS RELATION TO THE TODA HIERARCHY 162 2.3 THE STATIONARY KM
FORMALISM 172 2.4 THE TIME-DEPENDENT KM FORMALISM 178 2.5 NOTES 181 3
THE ABLOWITZ-LADIK HIERARCHY 186 3.1 CONTENTS 186 3.2 THE ABLOWITZ-LADIK
HIERARCHY, RECURSION RELATIONS, ZERO-CURVATURE PAIRS, AND HYPERELLIPTIC
CURVES 187 3.3 LAX PAIRS FOR THE ABLOWITZ-LADIK HIERARCHY 202 3.4 THE
STATIONARY ABLOWITZ-LADIK FORMALISM 220 VN VIII CONTENTS 3.5 THE
STATIONARY ABLOWITZ-LADIK ALGEBRO-GEOMETRIC INITIAL VALUE PROBLEM 236
3.6 THE TIME-DEPENDENT ABLOWITZR-LADIK.FORMALISM 249 3.7 THE
TIME-DEPENDENT ABLOWITZ-LADIK ALGEBRO-GEOMETRIC INITIAL VALUE PROBLEM
267 3.8 ABLOWITZ-LADIK CONSERVATION LAWS AND THE HAMILTONIAN FORMALISM
281 3.9 NOTES 314 APPENDICES A ALGEBRAIC CURVES AND THEIR THETA
FUNCTIONS IN A NUTSHELL 324 B HYPERELLIPTIC CURVES OF THE TODA-TYPE 353
C ASYMPTOTIC SPECTRAL PARAMETER EXPANSIONS AND NONLINEAR RECUR- SION
RELATIONS 365 D LAGRANGE INTERPOLATION 385 LIST OF SYMBOLS 395
BIBLIOGRAPHY . 398 INDEX ...... . T . . .. . ..,.,. R , 423 ERRATA AND
ADDENDA FOR VOLUME I ., : . 426
|
| any_adam_object | 1 |
| author | Gesztesy, Fritz 1953- Holden, Helge 1956- |
| author_GND | (DE-588)134200136 (DE-588)111693667 |
| author_facet | Gesztesy, Fritz 1953- Holden, Helge 1956- |
| author_role | aut aut |
| author_sort | Gesztesy, Fritz 1953- |
| author_variant | f g fg h h hh |
| building | Verbundindex |
| bvnumber | BV025682500 |
| classification_rvk | SK 540 SK 920 |
| ctrlnum | (OCoLC)315895565 (DE-599)BVBBV025682500 |
| discipline | Mathematik |
| edition | 1st. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02088nam a2200493 cc4500</leader><controlfield tag="001">BV025682500</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">100417s2008 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521753081</subfield><subfield code="9">978-0-521-75308-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)315895565</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV025682500</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 920</subfield><subfield code="0">(DE-625)143272:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gesztesy, Fritz</subfield><subfield code="d">1953-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)134200136</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Soliton equations and their algebro-geometric solutions</subfield><subfield code="n">2</subfield><subfield code="p">(1+1)-dimensional discrete models</subfield><subfield code="c">Fritz Gesztesy ; Helge Holden</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1st. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 438</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">114</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">...</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lösung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4120678-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Soliton</subfield><subfield code="0">(DE-588)4135213-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wellengleichung</subfield><subfield code="0">(DE-588)4065315-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Soliton</subfield><subfield code="0">(DE-588)4135213-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Wellengleichung</subfield><subfield code="0">(DE-588)4065315-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Lösung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4120678-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Holden, Helge</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111693667</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV025339183</subfield><subfield code="g">2</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">114</subfield><subfield code="w">(DE-604)BV000003678</subfield><subfield code="9">114</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019286832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-019286832</subfield></datafield></record></collection> |
| id | DE-604.BV025682500 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:17:11Z |
| institution | BVB |
| isbn | 9780521753081 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019286832 |
| oclc_num | 315895565 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | X, 438 |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Gesztesy, Fritz 1953- Verfasser (DE-588)134200136 aut Soliton equations and their algebro-geometric solutions 2 (1+1)-dimensional discrete models Fritz Gesztesy ; Helge Holden 1st. publ. Cambridge [u.a.] Cambridge Univ. Press 2008 X, 438 txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 114 Cambridge studies in advanced mathematics ... Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Wellengleichung (DE-588)4065315-8 gnd rswk-swf Soliton (DE-588)4135213-0 s Wellengleichung (DE-588)4065315-8 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Lösung Mathematik (DE-588)4120678-2 s Holden, Helge 1956- Verfasser (DE-588)111693667 aut (DE-604)BV025339183 2 Cambridge studies in advanced mathematics 114 (DE-604)BV000003678 114 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019286832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gesztesy, Fritz 1953- Holden, Helge 1956- Soliton equations and their algebro-geometric solutions Cambridge studies in advanced mathematics Lösung Mathematik (DE-588)4120678-2 gnd Soliton (DE-588)4135213-0 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Wellengleichung (DE-588)4065315-8 gnd |
| subject_GND | (DE-588)4120678-2 (DE-588)4135213-0 (DE-588)4001161-6 (DE-588)4065315-8 |
| title | Soliton equations and their algebro-geometric solutions |
| title_auth | Soliton equations and their algebro-geometric solutions |
| title_exact_search | Soliton equations and their algebro-geometric solutions |
| title_full | Soliton equations and their algebro-geometric solutions 2 (1+1)-dimensional discrete models Fritz Gesztesy ; Helge Holden |
| title_fullStr | Soliton equations and their algebro-geometric solutions 2 (1+1)-dimensional discrete models Fritz Gesztesy ; Helge Holden |
| title_full_unstemmed | Soliton equations and their algebro-geometric solutions 2 (1+1)-dimensional discrete models Fritz Gesztesy ; Helge Holden |
| title_short | Soliton equations and their algebro-geometric solutions |
| title_sort | soliton equations and their algebro geometric solutions 1 1 dimensional discrete models |
| topic | Lösung Mathematik (DE-588)4120678-2 gnd Soliton (DE-588)4135213-0 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Wellengleichung (DE-588)4065315-8 gnd |
| topic_facet | Lösung Mathematik Soliton Algebraische Geometrie Wellengleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019286832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV025339183 (DE-604)BV000003678 |
| work_keys_str_mv | AT gesztesyfritz solitonequationsandtheiralgebrogeometricsolutions2 AT holdenhelge solitonequationsandtheiralgebrogeometricsolutions2 |