000			04941nam a22004935i 4500
001			978-0-8176-4418-5
003			DE-He213
005			20251006084434.0
007			cr nn 008mamaa
008			100715s2005 xxu| s |||| 0|eng d
020			_a9780817644185
020			_a99780817644185
024	7		_a10.1007/b138648 _2doi
082	0	4	_a515.353 _223
100	1		_aDebnath, Lokenath. _eauthor.
245	1	0	_aNonlinear Partial Differential Equations for Scientists and Engineers _h[electronic resource] / _cby Lokenath Debnath.
250			_aSecond Edition.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2005.
300			_aXXII, 737p. 77 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aLinear Partial Differential Equations -- Nonlinear Model Equations and Variational Principles -- First-Order, Quasi-Linear Equations and Method of Characteristics -- First-Order Nonlinear Equations and Their Applications -- Conservation Laws and Shock Waves -- Kinematic Waves and Real-World Nonlinear Problems -- Nonlinear Dispersive Waves and Whitham's Equations -- Nonlinear Diffusion-Reaction Phenomena -- Solitons and the Inverse Scattering Transform -- The Nonlinear Schrödinger Equation and Solitary Waves -- Nonlinear Klein-Gordon and Sine-Gordon Equations -- Asymptotic Methods and Nonlinear Evolution Equations -- Tables of Integral Transforms.
520			_a"An exceptionally complete overview. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here. This reviewer feels that it is a very hard act to follow, and recommends it strongly. [This book] is a jewel." ---Applied Mechanics Review (Review of First Edition) This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Methods and properties of solutions are presented, along with their physical significance, making the book more useful for a diverse readership. Topics and key features: * Thorough coverage of derivation and methods of solutions for all fundamental nonlinear model equations, which include Korteweg--de Vries, Boussinesq, Burgers, Fisher, nonlinear reaction-diffusion, Euler--Lagrange, nonlinear Klein--Gordon, sine-Gordon, nonlinear Schrödinger, Euler, Water Waves, Camassa and Holm, Johnson, Davey-Stewartson, Kolmogorov, Petrovsky and Piscunov, Kadomtsev and Petviashivilli, Benjamin, Bona and Mahony, Harry Dym, Lax, and Whitman equations * Systematic presentation and explanation of conservation laws, weak solutions, and shock waves * Solitons, compactons, intrinsic localized modes, and the Inverse Scattering Transform * Special emphasis on nonlinear instability of dispersive waves with applications to water waves * Over 600 worked examples and end-of-chapter exercises with hints and selected solutions New features of the Second Edition include: * Improved presentation of results, methods of solutions, and proofs * New section on Sturm--Liouville systems and their fundamental properties * Revised examples, exercises, and updated applications and references * Several revised, nonlinear real-world models, including traffic flow, flood waves, chromatographic models, sediment transport in rivers, glacier flow, and roll waves Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition is an exceptionally complete and accessible text/reference for graduate students, researchers, and professionals in mathematics, physics, and engineering. It may be used in graduate-level courses, as a self-study resource, or as a research reference.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aENGINEERING MATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
650	2	4	_aTHEORETICAL, MATHEMATICAL AND COMPUTATIONAL PHYSICS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aCLASSICAL CONTINUUM PHYSICS.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643232
856	4	0	_uhttp://dx.doi.org/10.1007/b138648 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59619 _d59619