000 02931nam a22003978i 4500
001 CR9780511535024
003 UkCbUP
005 20200124160234.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090429s2003||||enk o ||1 0|eng|d
020 _a9780511535024 (ebook)
020 _z9780521822671 (hardback)
020 _z9780521036702 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA845
_b.B32 2003
082 0 0 _a531/.163
_221
100 1 _aBabelon, Olivier,
_d1951-
_eauthor.
245 1 0 _aIntroduction to classical integrable systems /
_cOlivier Babelon, Denis Bernard, Michel Talon.
264 1 _aCambridge :
_bCambridge University Press,
_c2003.
300 _a1 online resource (xi, 602 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on mathematical physics
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tIntroduction --
_g2.
_tIntegrable dynamical systems --
_g3.
_tSynopsis of integrable systems --
_g4
_tAlgebraic methods --
_g5.
_tAnalytical methods --
_g6.
_tThe closed Toda chain -- 7.
_tThe Calogero-Moser model --
_g8.
_tIsomonodromic deformations --
_g9.
_tGrassmannian and integrable hierarchies --
_g10.
_tThe KP hierarchy --
_g11.
_tThe KdV hierarchy --
_g12.
_tThe Toda field Theories --
_g13
_tClassical inverse scattering method --
_g14.
_tSymplectic geometry --
_g15.
_tRiemann surfaces --
_g16.
_tLie algebras.
520 _aThis book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for researchers already working in the field.
650 0 _aDynamics.
650 0 _aHamiltonian systems.
700 1 _aBernard, Denis,
_d1961-
_eauthor.
700 1 _aTalon, Michel,
_d1952-
_eauthor.
776 0 8 _iPrint version:
_z9780521822671
830 0 _aCambridge monographs on mathematical physics.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511535024
999 _c517891
_d517889