Nonlinear Partial Differential Equations for Scientists and Engineers [electronic resource] / by Lokenath Debnath.
By: Debnath, Lokenath [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextPublisher: Boston, MA : Birkhäuser Boston, 2005Edition: Second Edition.Description: XXII, 738 p. 77 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780817644185.Subject(s): Differential equations, partial  Global analysis (Mathematics)  Mathematics  Mathematical physics  Partial Differential Equations  Analysis  Theoretical, Mathematical and Computational Physics  Applications of Mathematics  Mathematical Methods in Physics  Classical and Continuum PhysicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 515.353 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB1168 
Linear Partial Differential Equations  Nonlinear Model Equations and Variational Principles  FirstOrder, QuasiLinear Equations and Method of Characteristics  FirstOrder Nonlinear Equations and Their Applications  Conservation Laws and Shock Waves  Kinematic Waves and RealWorld Nonlinear Problems  Nonlinear Dispersive Waves and Whitham’s Equations  Nonlinear DiffusionReaction Phenomena  Solitons and the Inverse Scattering Transform  The Nonlinear Schrödinger Equation and Solitary Waves  Nonlinear KleinGordon and SineGordon Equations  Asymptotic Methods and Nonlinear Evolution Equations  Tables of Integral Transforms.
"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 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.
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Nonlinear partial differential equations for scientists and engineers by Debnath Lokenath  
Nonlinear partial differential equations for scientists and engineers by Debnath Lokenath 
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