| 000 | 03294nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-47274-2 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151738.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1992 gw | s |||| 0|eng d | ||
| 020 |
_a9783540472742 _9978-3-540-47274-2 |
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| 024 | 7 |
_a10.1007/978-3-540-47274-2 _2doi |
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| 050 | 4 | _aQC19.2-20.85 | |
| 072 | 7 |
_aPHU _2bicssc |
|
| 072 | 7 |
_aSCI040000 _2bisacsh |
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| 072 | 7 |
_aPHU _2thema |
|
| 082 | 0 | 4 |
_a530.1 _223 |
| 100 | 1 |
_aHoppe, Jens. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aLectures on Integrable Systems _h[electronic resource] / _cby Jens Hoppe. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1992. |
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| 300 |
_aVII, 111 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v10 |
|
| 505 | 0 | _aThe Projection Method of Olshanetsky and Perelomov -- Classical Integrability of the Calogero-Moser Systems -- Solution of a Quantum Mechanical N-Body Problem -- Algebraic Approach to x 2 + ?/x 2 Interactions -- Some Hamiltonian Mechanics -- The Classical Non-Periodic Toda Lattice -- r-Matrices and Yang Baxter Equations -- Integrable Systems and gl(?) -- Infinite Dimensional Toda Systems -- Integrable Field Theories from Poisson Algebras -- Generalized Garnier Systems and Membranes -- Differential Lax Operators -- First Order Differential Matrix Lax Operators and Drinfeld-Sokolov Reduction -- Zero Curvature Conditions on W ?, Trigonometrical and Universal Enveloping Algebras -- Spectral Transform and Solitons -- Higher Dimensional ?-Functions. | |
| 520 | _aMainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-matrices for Calogero-Moser systems and Toda lattices are derived. Lax pairs for nontrivial infinite dimensionalsystems are constructed as limits of classical matrix algebras. The reader will find explanations of the approach to integrable field theories, to spectral transform methods and to solitons. New methods are proposed, thus helping students not only to understand established techniques but also to interest them in modern research on dynamical systems. | ||
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
| 650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662138823 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662138816 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540557005 |
| 830 | 0 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v10 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-47274-2 |
| 912 | _aZDB-2-PHA | ||
| 912 | _aZDB-2-LNP | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c11739 _d11739 |
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