Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	Dezember 2010
Genre:	Naturwissensch., Medizin, Technik
	C / Complex systems / Differential & Riemannian geometry / Differential calculus & equations / Differential equations / Differential Geometry / Dynamical systems / Dynamics & statics / Mathematical Methods in Physics / Partial Differential Equations / Physics / Physics and Astronomy / Statistical physics / Statistical Physics and Dynamical Systems / Theoretical, Mathematical and Computational Physics
ISBN:	9783642057533
EAN-Code:	9783642057533
Verlag:	Springer Nature EN
Einband:	Kartoniert
Sprache:	English
Serie:	#632 - Lecture Notes in Physics
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	450 gr
Seiten:	279
Zus. Info:	Previously published in hardcover
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities à la Painlevé, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables. The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved.