Nonlinear Partial Differential Equations for Scientists and Engineers
Topics and key features: * Thorough coverage of derivation and methods of solutions for all fundamental nonlinear model equations, which include Kortewegde Vries, Boussinesq, Burgers, Fisher, nonlinear reactiondiffusion, EulerLagrange, nonlinear KleinGordon, sineGordon, nonlinear Schrödinge... Ausführliche Beschreibung
1. Person:  Debnath, Lokenath 

Weitere Körperschaften:  SpringerLink (Online service) 
Weitere Personen:  SpringerLink (Online service) 
Format:  EBuch 
Sprache:  English 
Veröffentlicht: 
Boston, MA Birkhäuser Boston 2005, 2005 
Beschreibung:  XXII, 738 p. 77 illus online resource 
Ausgabe:  2nd ed. 2005 
Schlagworte: 
Classical and Continuum Physics
Differential equations, partial Applications of Mathematics Partial Differential Equations Mathematical physics Mathematical Methods in Physics Theoretical, Mathematical and Computational Physics Mathematics Global analysis (Mathematics) Analysis 
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Zusammenfassung: 
Topics and key features: * Thorough coverage of derivation and methods of solutions for all fundamental nonlinear model equations, which include Kortewegde Vries, Boussinesq, Burgers, Fisher, nonlinear reactiondiffusion, EulerLagrange, nonlinear KleinGordon, sineGordon, nonlinear Schrödinger, Euler, Water Waves, Camassa and Holm, Johnson, DaveyStewartson, 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 endofchapter 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 SturmLiouville systems and their fundamental properties * Revised examples, exercises, and updated applications and references * Several revised, nonlinear realworld 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 graduatelevel courses, as a selfstudy resource, or as a research reference "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. 

ISBN: 
9780817644185 