000			02948nam a22003615i 4500
001			282874
003			MX-SnUAN
005			20160429154210.0
007			cr nn 008mamaa
008			150903s2008 ne | o |||| 0|eng d
020			_a9781402084911 _99781402084911
024	7		_a10.1007/9781402084911 _2doi
035			_avtls000336018
039		9	_a201509030818 _bVLOAD _c201404300310 _dVLOAD _y201402041338 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQC5.53
100	1		_aConte, Robert. _eautor _9309960
245	1	4	_aThe Painlevé Handbook / _cby Robert Conte, Micheline Musette.
264		1	_aDordrecht : _bSpringer Netherlands, _c2008.
300			_axxiii, 256 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
520			_aNonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schrödinger equation (continuous and discrete), the Korteweg-de Vries equation, the Hénon-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aMusette, Micheline. _eautor _9309961
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781402084904
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4020-8491-1 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c282874 _d282874