Coverart for item
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 of the latest developments in the field of PDEs. 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. --Applied Mechanics Review (Review of First Edition) Overall, it is a useful book for teaching, a rich source of examples, and I am happy to have it on a shelf of my library. --UK Nonlinear News (Review of Second Edition) The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their various current applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications¡have been¡chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation.¡¡ The book gives thorough coverage of the derivation and solution methods for all fundamental nonlinear model equations, such as Korteweg-de Vries, Camassa-Holm, Degasperis-Procesi, Euler-Poincaré, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear Klein-Gordon, sine-Gordon, nonlinear Schrödinger, nonlinear reaction-diffusion, and Euler-Lagrange equations. Other topics and key features include:¡¡ * Improved presentations of results, solution methods, and proofs. * Solitons, gravity-capillary solitary waves, and the Inverse Scattering Transform. * Special emphasis on compactons, intrinsic localized modes, and nonlinear instability of dispersive waves with applications to water waves and wave breaking phenomena. * New section on the Lorenz nonlinear system, the Lorenz attractor, and deterministic chaos, and new examples of nonlinear quasi-harmonic waves, modulational instability, nonlinear lattices, and the Toda lattice equation. * Over 1000 worked-out examples and end-of-chapter exercises with expanded hints and answers to selected exercises. * Two new appendices on some special functions and their basic properties, Fourier series, generalized functions, and Fourier and Laplace transforms, with algebraic and analytical properties of convolutions and applications. * Many aspects of modern theory that will put the reader at the forefront of current research. * Completely updated list of references and enlarged index. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already complete and accessible resource for senior undergraduate and graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, a research reference, or a self-study guide
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Debnath, Lokenath
Dewey number
515/.353
Index
index present
Language note
English
LC call number
QA377
LC item number
.D47 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Mathematics
  • Differential equations, Partial
Label
Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 813-846) 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
Preface to the Third Edition -- Preface -- 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 Schroedinger Equation and Solitary Waves -- Nonlinear Klein -- Gordon and Sine-Gordon Equations -- Asymptotic Methods and Nonlinear Evolution Equations -- Tables of Integral Transforms -- Answers and Hints to Selected Exercises -- Bibliography -- Index
Control code
757938529
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (xxiii, 860 pages)
File format
unknown
Form of item
online
Isbn
9780817682644
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 99947613359
  • 10.1007/978-0-8176-8265-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)757938529
Label
Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 813-846) 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
Preface to the Third Edition -- Preface -- 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 Schroedinger Equation and Solitary Waves -- Nonlinear Klein -- Gordon and Sine-Gordon Equations -- Asymptotic Methods and Nonlinear Evolution Equations -- Tables of Integral Transforms -- Answers and Hints to Selected Exercises -- Bibliography -- Index
Control code
757938529
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (xxiii, 860 pages)
File format
unknown
Form of item
online
Isbn
9780817682644
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 99947613359
  • 10.1007/978-0-8176-8265-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)757938529

Library Locations

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