Nonlinear evolution equations and painlevé test:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1988
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 333 S. |
| ISBN: | 9971507447 |
Internformat
MARC
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|---|---|---|---|
| 001 | BV012741771 | ||
| 003 | DE-604 | ||
| 005 | 20210903 | ||
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| 008 | 990902s1988 |||| 00||| eng d | ||
| 020 | |a 9971507447 |9 9971-50-744-7 | ||
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| 035 | |a (DE-599)BVBBV012741771 | ||
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| 041 | 0 | |a eng | |
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| 100 | 1 | |a Steeb, Willi-Hans |d 1945- |e Verfasser |0 (DE-588)12155614X |4 aut | |
| 245 | 1 | 0 | |a Nonlinear evolution equations and painlevé test |c W.-H. Steeb ; N. Euler |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1988 | |
| 300 | |a IX, 333 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Painlevé, Équations de | |
| 650 | 4 | |a Équations différentielles non linéaires | |
| 650 | 4 | |a Evolution equations, Nonlinear | |
| 650 | 4 | |a Painlevé equations | |
| 650 | 0 | 7 | |a Nichtlineare Evolutionsgleichung |0 (DE-588)4221363-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Painlevé-Test |0 (DE-588)4344258-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare Evolutionsgleichung |0 (DE-588)4221363-0 |D s |
| 689 | 0 | 1 | |a Painlevé-Test |0 (DE-588)4344258-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Euler, Norbert |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008664492&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008664492 | ||
Datensatz im Suchindex
| _version_ | 1804127409567432704 |
|---|---|
| adam_text | V
Contents
Page
0. Introduction 1
1. Painleve1 Test and Ordinary Differential Equations 5
1.1. Method of Sonya Kovalevskaya 5
1.2. Painlevi Property 9
1.3. Variational Equation 13
1.4. Painleve Test 26
1.5. Integrability 56
1.6. Painleve Test and Integrability 68
1.7. Quasi and Weak Painleve Test 73
1.8. Painleve Transcendents 80
1.9. Schwarzian Derivative 87
1.10. Painlevl Test and Chaotic Behaviour 91
1.11. Self Similar Natural Boundaries 94
1.12. Computer Algebra and Painleve Test 101
2. Applications 103
2.1. Conservative Systems 103
2.2. Nambu Mechanics 114
2.3. Dissipative Systems 117
2.4. Construction of Solutions 136
3. Ziglin s Theorems and Nonintegrability 150
3.1. Introduction 150
3.2. Ziglin s Theorems 151
3.3. Applications 157
vi
4. Group Theoretical Reduction of Partial Differential
Equations and Painleve Test 167
4.1. Introduction 167
4.2. Examples 172
4.2.1. Completely Integrable Systems 172
4.2.2. Nonintegrable Systems 174
5. Painleve Property and Painleve Test for Partial
Differential Equations 175
5.1. Definitions and Technique 175
6. Painleve Property and Integrability 184
6.1. Introduction 184
6.2. Lax Pairs and Backlund Transformations 189
6.3. Symmetries 196
6.4. Recursion Operator 199
6.5. Linearizable Equations 201
6.6. Kowalewski Exponents and Conservation Laws 204
6.7. Resonances and Backlund Transformations 208
7. Hirota Technique and Painleve Test 210
7.1. Hirota Technique 210
7.2. Connection with Painleve Test 224
8. Deformation of Painleve Series under
Symmetry Reduction 235
9. Integrable Field Equations 241
9.1. Introduction 241
9.2. Burgers Equation and Hierarchy of Burgers
Equations 242
9.3. Korteweg de Vries equation 245
vii
9.4. Modified Korteweg de Vries Equation 249
9.5. Boussinesq Equation 251
9.6. One Dimensional Nonlinear Schrodinger Equation 254
9.7. Integrable Nonlinear Klein Gordon Equations 258
9.8. Calogero Degasperis Fokas Equation 262
9.9. (1+1) Dimensional SO(2) Invariant a Model 264
9.10. Reduced Maxwell Bloch Equations 266
9.11. Self Dual Yang Mills Equations 269
10. Nonintegrable Field Equations 275
10.1. Introduction 275
10.2. Nonintegrable Nonlinear Klein Gorden Equations 276
10.2.1. u4 Field Equations 276
10.2.2. Double Sine Gorden Equation 279
10.3. Discrete Boltzmann Equations 281
10.4. Modified Burgers Equations 293
10.5. Nonlinear Field Equation Describing the Relaxation
to a Maxwell Distribution 301
11. Painleve Transcendents in Statistical Mechanics 308
References
Index of Symbols
Index
|
| any_adam_object | 1 |
| author | Steeb, Willi-Hans 1945- Euler, Norbert |
| author_GND | (DE-588)12155614X |
| author_facet | Steeb, Willi-Hans 1945- Euler, Norbert |
| author_role | aut aut |
| author_sort | Steeb, Willi-Hans 1945- |
| author_variant | w h s whs n e ne |
| building | Verbundindex |
| bvnumber | BV012741771 |
| callnumber-first | Q - Science |
| callnumber-label | QA371 |
| callnumber-raw | QA371 |
| callnumber-search | QA371 |
| callnumber-sort | QA 3371 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 810 SK 500 |
| ctrlnum | (OCoLC)19545783 (DE-599)BVBBV012741771 |
| dewey-full | 515.35/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35/2 |
| dewey-search | 515.35/2 |
| dewey-sort | 3515.35 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012741771 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:32:54Z |
| institution | BVB |
| isbn | 9971507447 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008664492 |
| oclc_num | 19545783 |
| open_access_boolean | |
| owner | DE-703 DE-83 DE-11 DE-188 |
| owner_facet | DE-703 DE-83 DE-11 DE-188 |
| physical | IX, 333 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Steeb, Willi-Hans 1945- Verfasser (DE-588)12155614X aut Nonlinear evolution equations and painlevé test W.-H. Steeb ; N. Euler Singapore [u.a.] World Scientific 1988 IX, 333 S. txt rdacontent n rdamedia nc rdacarrier Painlevé, Équations de Équations différentielles non linéaires Evolution equations, Nonlinear Painlevé equations Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf Painlevé-Test (DE-588)4344258-4 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s Painlevé-Test (DE-588)4344258-4 s DE-604 Euler, Norbert Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008664492&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Steeb, Willi-Hans 1945- Euler, Norbert Nonlinear evolution equations and painlevé test Painlevé, Équations de Équations différentielles non linéaires Evolution equations, Nonlinear Painlevé equations Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Painlevé-Test (DE-588)4344258-4 gnd |
| subject_GND | (DE-588)4221363-0 (DE-588)4344258-4 |
| title | Nonlinear evolution equations and painlevé test |
| title_auth | Nonlinear evolution equations and painlevé test |
| title_exact_search | Nonlinear evolution equations and painlevé test |
| title_full | Nonlinear evolution equations and painlevé test W.-H. Steeb ; N. Euler |
| title_fullStr | Nonlinear evolution equations and painlevé test W.-H. Steeb ; N. Euler |
| title_full_unstemmed | Nonlinear evolution equations and painlevé test W.-H. Steeb ; N. Euler |
| title_short | Nonlinear evolution equations and painlevé test |
| title_sort | nonlinear evolution equations and painleve test |
| topic | Painlevé, Équations de Équations différentielles non linéaires Evolution equations, Nonlinear Painlevé equations Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Painlevé-Test (DE-588)4344258-4 gnd |
| topic_facet | Painlevé, Équations de Équations différentielles non linéaires Evolution equations, Nonlinear Painlevé equations Nichtlineare Evolutionsgleichung Painlevé-Test |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008664492&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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