| 000 | 03785nam a22005655i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-77054-1 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151256.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 gw | s |||| 0|eng d | ||
| 020 |
_a9783540770541 _9978-3-540-77054-1 |
||
| 024 | 7 |
_a10.1007/978-3-540-77054-1 _2doi |
|
| 050 | 4 | _aQC5.53 | |
| 072 | 7 |
_aPHU _2bicssc |
|
| 072 | 7 |
_aSCI040000 _2bisacsh |
|
| 072 | 7 |
_aPHU _2thema |
|
| 082 | 0 | 4 |
_a530.15 _223 |
| 245 | 1 | 0 |
_aIntegrable Hamiltonian Hierarchies _h[electronic resource] : _bSpectral and Geometric Methods / _cedited by V.S. Gerdjikov, G. Vilasi, A.B. Yanovski. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
|
| 300 |
_aXII, 643 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v748 |
|
| 505 | 0 | _aIntegrable Hamiltonian Hierarchies: Spectral Methods -- The Lax Representation and the AKNS Approach -- The Direct Scattering Problem for theZakharov–Shabat System -- The Inverse Scattering Problem for the Zakharov–Shabat System -- The Generalized Fourier Transforms -- Fundamental Properties of the solvable NLEEs -- Hierarchies of Hamiltonian structures -- The NLEEs and the Gauge Transformations -- The Classical r-Matrix Method -- Integrable Hamiltonian Hierarchies: Geometric Theory of the Recursion Operators -- Smooth Manifolds -- Hamiltonian Dynamics -- Vector-Valued Differential Forms -- Integrability and Nijenhuis Tensors -- Poisson–Nijenhuis structures Related to the Generalized Zakharov–Shabat System -- Linear Bundles of Lie Algebras and Compatible Poisson Structures. | |
| 520 | _aThis book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform. The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and post-graduate students. | ||
| 650 | 0 | _aMathematical physics. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 0 | _aGeometry. | |
| 650 | 0 | _aPhysics. | |
| 650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
| 650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
| 650 | 2 | 4 |
_aGeometry. _0http://scigraph.springernature.com/things/product-market-codes/M21006 |
| 650 | 2 | 4 |
_aPhysics, general. _0http://scigraph.springernature.com/things/product-market-codes/P00002 |
| 700 | 1 |
_aGerdjikov, V.S. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
| 700 | 1 |
_aVilasi, G. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
| 700 | 1 |
_aYanovski, A.B. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540869849 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783642095771 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540770534 |
| 830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v748 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-77054-1 |
| 912 | _aZDB-2-PHA | ||
| 912 | _aZDB-2-LNP | ||
| 999 |
_c10115 _d10115 |
||