The Resource Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
Resource Information
The item Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 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
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xx, 737 pages)
 Contents

 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
 Isbn
 9780817643232
 Label
 Nonlinear partial differential equations for scientists and engineers
 Title
 Nonlinear partial differential equations for scientists and engineers
 Statement of responsibility
 Lokenath Debnath
 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 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
 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
 Nietlineaire vergelijkingen
 Label
 Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
 Bibliography note
 Includes bibliographical references (pages 699726) 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  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
 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
 9780817643232
 Specific material designation
 remote
 System control number
 (OCoLC)655853882
 Label
 Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath
 Bibliography note
 Includes bibliographical references (pages 699726) 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  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
 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
 9780817643232
 Specific material designation
 remote
 System control number
 (OCoLC)655853882
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