000			03310nam a22004815i 4500
001			978-1-4020-3088-8
003			DE-He213
005			20260521092050.0
007			cr nn 008mamaa
008			100301s2005 ne | s |||| 0|eng d
020			_a9781402030888
020			_a99781402030888
024	7		_a10.1007/1-4020-3088-6 _2doi
082	0	4	_a530.1 _223
100	1		_aGu, Chaohao. _eauthor.
245	1	0	_aDarboux Transformations in Integrable Systems _h[electronic resource] : _bTheory and their Applications to Geometry / _cby Chaohao Gu, Hesheng Hu, Zixiang Zhou.
264		1	_aDordrecht : _bSpringer Netherlands : _bImprint: Springer, _c2005.
300			_aX, 310 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematical Physics Studies ; _v26
505	0		_a1+1 Dimensional Integrable Systems -- 2+1 Dimensional Integrable Systems -- N + 1 Dimensional Integrable Systems -- Surfaces of Constant Curvature, Bäcklund Congruences and Darboux Transformation -- Darboux Transformation and Harmonic Map -- Generalized Self-Dual Yang-Mills Equations and Yang-Mills-Higgs Equations -- Two Dimensional Toda Equations and Laplace Sequences of Surfaces in Projective Space.
520			_aThe Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years. Audience: The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) in mathematics and physics.
650		0	_aPHYSICS.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aPHYSICS.
650	2	4	_aTHEORETICAL, MATHEMATICAL AND COMPUTATIONAL PHYSICS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
700	1		_aHu, Hesheng. _eauthor.
700	1		_aZhou, Zixiang. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402030871
830		0	_aMathematical Physics Studies ; _v26
856	4	0	_uhttp://dx.doi.org/10.1007/1-4020-3088-6 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-PHA
942			_2ddc _cER
999			_c36264 _d36264