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The Resource Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath

Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath

Label
Nonlinear partial differential equations for scientists and engineers
Title
Nonlinear partial differential equations for scientists and engineers
Statement of responsibility
Lokenath Debnath
Creator
Subject
Language
eng
Summary
"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
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Debnath, Lokenath
Dewey number
515/.353
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA377
LC item number
.D47 2005
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Differential equations, Nonlinear
  • Differential equations, Nonlinear
  • Nichtlineare partielle Differentialgleichung
  • Differentiaalvergelijkingen
  • Niet-lineaire vergelijkingen
Label
Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 699-726) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Linear 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
Control code
655853882
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xx, 737 pages)
Form of item
online
Isbn
9780817643232
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b138648
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4323-2
Specific material designation
remote
System control number
(OCoLC)655853882
Label
Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Publication
Bibliography note
Includes bibliographical references (pages 699-726) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Linear 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
Control code
655853882
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xx, 737 pages)
Form of item
online
Isbn
9780817643232
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b138648
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4323-2
Specific material designation
remote
System control number
(OCoLC)655853882

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