Soliton theory and its applications:
Saved in:
| Format: | Book |
|---|---|
| Language: | German English Chinese |
| Published: |
Berlin [u.a.]
Springer [u.a.]
1995
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 392 - 400. - Aus d. Chines. übers. |
| Physical Description: | XII, 403 S. graph. Darst. |
| ISBN: | 3540571124 0387571124 |
Staff View
MARC
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| 245 | 1 | 0 | |a Soliton theory and its applications |c Gu Chaohao (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer [u.a.] |c 1995 | |
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Record in the Search Index
| _version_ | 1804124770044739584 |
|---|---|
| adam_text | Contents
Chapter 1
Soliton Theory and Modern Physics
Guo Boling 1
1.1 Introduction 1
1.2 Water Wave and the Wave Equation Under Weak Nonlinear
Action 5
1.3 Solitons in Plasma 18
1.4 Collapse of Langmuir Waves 38
1.5 Interaction of Solitons and Asymptotic Properties as t — oo 43
1.6 Solitons in Molecular Systems 53
1.7 Toda Lattice and Born Infeld Equation 64
Chapter 2
Inverse Scattering Methods
Li Yishen 69
2.1 Direct Scattering Problem 69
2.2 Inverse Scattering Problem 82
2.3 The Solution of the Initial Value Problem of the KdV
Equation 87
2.4 AKNS Equation 94
2.5 The Direct and Inverse Scattering Problem of the
AKNS Eigenvalue Problem 98
2.6 Solving the Initial Value Problems of AKNS Hierarchy
by Inverse Scattering Method 106
2.7 KP Equation and Associated Inverse Scattering Method 109
2.8 Remarks 120
Chapter 3
Backlund Transformations and Darboux
Transfer mat ions
Gu Chaohao 122
3.1 Introduction 122
3.2 Classical Darboux Matrix 126
vi Contents
3.3 Some Special Cases 134
3.4 Darboux Transformations for More General Cases 139
3.5 Darboux Transformation in 1 + 2 Dimensions 145
3.6 Some Remarks 149
Chapter 4
Classical Integrable Systems
Cao Cewen 152
4.1 Symplectic Manifold 153
4.2 Complete Integrability in the Liouville Sense 163
4.3 Several Finite dimensional Integrable Systems 170
Chapter 5
Symmetry
Tian Chou 192
5.1 Symmetries 192
5.2 Strong Symmetry, Heredity 201
5.3 Commutator, Lie Algebra .. 210
5.4 Transformation 221
Chapter 6
Kac Moody Algebras and Integrable Systems
Tu Guizhang 230
6.1 Integrable Systems in Lax s Sense 230
6.2 A Brief Introduction to Kac Moody Algebras 232
6.3 Generalized Hierarchy of KdV Equations 255
6.4 r Functions and the KP Hierarchy 266
6.5 Symmetry, Loop Algebras and Virasoro Algebras 291
Chapter 7
Soliton and Differential Geometry
Hu Hesheng 297
7.1 Fundamental Facts on the Theory of Surfaces 298
7.2 Surfaces of Negative Constant Curvature and the
Sine Gordon Equation 302
7.3 Line Congruences, Pseudo spherical Line Congruences,
and Backlund Transformations 307
7.4 Soliton Equations and Harmonic Maps 314
7.5 Nonlinear Partial Differential Equation Admitting
Linear Integrable System 321
7.6 Soliton Surfaces 332
Contents vii
Chapter 8
Numerical Study of Nonlinear Waves
Guo Benyu 337
8.1 Finite Difference Method for the Korteweg de Vries Equation 338
8.2 Numerical Study of Initial boundary Value Problems of the
Korteweg de Vries Equation 342
8.3 Finite Element Method for the Korteweg de Vries Equation 345
8.4 Spectral and Pseudospectral Method for the Korteweg de Vries
Equation 348
8.5 Numerical Methods for the Benjamin Bona Mahony Equation 351
8.6 Numerical Study of the Klein Gordon Equation and the
Sine Gordon Equation 354
8.7 Numerical Study of the Schrodinger Equation and the
Dirac Equation 361
Chapter 9
Solitons in the Theory of Gravitational Waves
Ge Molin 363
9.1 Introduction 363
9.2 General Solutions of BZG 366
9.3 One Soliton Solution 372
9.4 New Type of Soliton Solutions 376
9.5 Hamiltonian Structure of BZ Gravity 385
References 392
Index 401
|
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| indexdate | 2024-07-09T17:50:56Z |
| institution | BVB |
| isbn | 3540571124 0387571124 |
| language | German English Chinese |
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| physical | XII, 403 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Springer [u.a.] |
| record_format | marc |
| spelling | Ku-li-tzu-lun-yü-ying-yung Soliton theory and its applications Gu Chaohao (ed.) Berlin [u.a.] Springer [u.a.] 1995 XII, 403 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 392 - 400. - Aus d. Chines. übers. Mathematische Physik Mathematical physics Solitons Soliton (DE-588)4135213-0 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Soliton (DE-588)4135213-0 s DE-604 Mathematische Physik (DE-588)4037952-8 s Gu, Chaohao 1926-2012 Sonstige (DE-588)120476746 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006887775&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Soliton theory and its applications Mathematische Physik Mathematical physics Solitons Soliton (DE-588)4135213-0 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4037952-8 (DE-588)4143413-4 |
| title | Soliton theory and its applications |
| title_alt | Ku-li-tzu-lun-yü-ying-yung |
| title_auth | Soliton theory and its applications |
| title_exact_search | Soliton theory and its applications |
| title_full | Soliton theory and its applications Gu Chaohao (ed.) |
| title_fullStr | Soliton theory and its applications Gu Chaohao (ed.) |
| title_full_unstemmed | Soliton theory and its applications Gu Chaohao (ed.) |
| title_short | Soliton theory and its applications |
| title_sort | soliton theory and its applications |
| topic | Mathematische Physik Mathematical physics Solitons Soliton (DE-588)4135213-0 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematische Physik Mathematical physics Solitons Soliton Aufsatzsammlung |
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