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 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
- Language
- eng
- Edition
- 2nd ed.
- Extent
- 1 online resource (xx, 737 pages)
- 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
- 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 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Nonlinear-partial-differential-equations-for/lzb0Bkc9SVY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Nonlinear-partial-differential-equations-for/lzb0Bkc9SVY/">Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
