Coverart for item
The Resource Introduction to the mathematical physics of nonlinear waves, Minoru Fujimoto

Introduction to the mathematical physics of nonlinear waves, Minoru Fujimoto

Label
Introduction to the mathematical physics of nonlinear waves
Title
Introduction to the mathematical physics of nonlinear waves
Statement of responsibility
Minoru Fujimoto
Creator
Contributor
Author
Publisher
Subject
Language
eng
Summary
Nonlinear physics is a well-established discipline in physics today, and this book offers a comprehensive account of the basic soliton theory and its applications. Although primarily mathematical, the theory for nonlinear phenomena in practical environments needs to be understood at upper undergraduate level, with particular attention given to the presence of media where nonlinearity takes place. This book addresses mathematical theories, but also suggests possible theoretical innovations for many issues, providing a stimulating reference for both students and researchers
Member of
Cataloging source
CaBNVSL
http://library.link/vocab/creatorName
Fujimoto, Minoru
Dewey number
530.155355
Illustrations
illustrations
Index
no index present
LC call number
QA927
LC item number
.F845 2014eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Morgan & Claypool Publishers
  • Institute of Physics (Great Britain)
Series statement
IOP concise physics,
http://library.link/vocab/subjectName
  • Nonlinear waves
  • Nonlinear wave equations
  • Mathematical physics
  • Mathematical Physics
  • SCIENCE
  • Mathematical physics
  • Nonlinear wave equations
  • Nonlinear waves
Target audience
adult
Label
Introduction to the mathematical physics of nonlinear waves, Minoru Fujimoto
Instantiates
Publication
Distribution
Note
  • "Version: 20140301"--Title page verso
  • "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso
  • Title from PDF title page (viewed on March 28, 2014)
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Nonlinearity in classical mechanics -- A pendulum -- Vibration by a nonlinear spring force -- A jumping rope -- Hyperbolic and elliptic functions -- Variation principle -- Buckling deformation of a rod
  • Wave propagation, singularities and boundaries -- Elastic waves along a linear string of infinite length -- Microwave transmission -- Schrödinger's equation -- Scattering by the potential V(x) =V [subscript]o sech [superscript]2 x -- Two-dimensional waves in inhomogeneous medium -- Sound propagation in air
  • Solitons and adiabatic potentials -- The Korteweg-deVries equation -- Steady solutions of the Korteweg-deVries equation -- Developing equations of nonlinear vector waves -- Bargmann's theorem -- Riccati's theorem -- Properties of the Eckart potential in the soliton field -- Zabusky-Kruskal's computational analysis
  • Structural phase transitions -- Initial uncertainties and transition anomalies -- Dynamical theory of collective motion -- Pseudopotential and sine-Gordon equation
  • Nonlinear waves -- Elemental waves -- Matrix formulation for nonlinear development -- Heat dissipation of wave motion -- Born-Huang transitions in crystals -- Symmetry of media for the Korteweg-deVries equation -- Soliton description
  • Scattering theory -- One-component waves -- Two-component scatterings
  • Method of inverse scatterings -- Coherent wave packets and Marchenko's equation -- Reflectionless multi-soliton potentials -- Two-component systems
  • Quasi-static soliton states -- Developing the Korteweg-deVries equation -- Multi-soliton potentials in unsteady states -- The modified Korteweg-deVries equation, part 2 -- Thermodynamic instability and Breezer potentials -- The third-order Schrödinger equation
  • The Bäcklund transformation and sine-Gordon equations -- The Klein-Gordon equation -- The Bäcklund transformation -- The sine-Gordon equation -- Numerical analysis of the sine-Gordon equation -- Inverse scatterings and the Bäcklund transformation -- Scatterings by a pseudopotential
  • Miscellaneous applications -- Surface waves -- Vortex motion in fluid media -- Plasma oscillation -- Laser light transmission through absorbing media -- Periodic lattices
Control code
875858859
Dimensions
unknown
Extent
1 online resource (156 pages)
File format
multiple file formats
Form of item
online
Isbn
9781627052764
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1088/978-1-627-05276-4
Other physical details
illustrations.
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)875858859
Label
Introduction to the mathematical physics of nonlinear waves, Minoru Fujimoto
Publication
Distribution
Note
  • "Version: 20140301"--Title page verso
  • "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso
  • Title from PDF title page (viewed on March 28, 2014)
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Nonlinearity in classical mechanics -- A pendulum -- Vibration by a nonlinear spring force -- A jumping rope -- Hyperbolic and elliptic functions -- Variation principle -- Buckling deformation of a rod
  • Wave propagation, singularities and boundaries -- Elastic waves along a linear string of infinite length -- Microwave transmission -- Schrödinger's equation -- Scattering by the potential V(x) =V [subscript]o sech [superscript]2 x -- Two-dimensional waves in inhomogeneous medium -- Sound propagation in air
  • Solitons and adiabatic potentials -- The Korteweg-deVries equation -- Steady solutions of the Korteweg-deVries equation -- Developing equations of nonlinear vector waves -- Bargmann's theorem -- Riccati's theorem -- Properties of the Eckart potential in the soliton field -- Zabusky-Kruskal's computational analysis
  • Structural phase transitions -- Initial uncertainties and transition anomalies -- Dynamical theory of collective motion -- Pseudopotential and sine-Gordon equation
  • Nonlinear waves -- Elemental waves -- Matrix formulation for nonlinear development -- Heat dissipation of wave motion -- Born-Huang transitions in crystals -- Symmetry of media for the Korteweg-deVries equation -- Soliton description
  • Scattering theory -- One-component waves -- Two-component scatterings
  • Method of inverse scatterings -- Coherent wave packets and Marchenko's equation -- Reflectionless multi-soliton potentials -- Two-component systems
  • Quasi-static soliton states -- Developing the Korteweg-deVries equation -- Multi-soliton potentials in unsteady states -- The modified Korteweg-deVries equation, part 2 -- Thermodynamic instability and Breezer potentials -- The third-order Schrödinger equation
  • The Bäcklund transformation and sine-Gordon equations -- The Klein-Gordon equation -- The Bäcklund transformation -- The sine-Gordon equation -- Numerical analysis of the sine-Gordon equation -- Inverse scatterings and the Bäcklund transformation -- Scatterings by a pseudopotential
  • Miscellaneous applications -- Surface waves -- Vortex motion in fluid media -- Plasma oscillation -- Laser light transmission through absorbing media -- Periodic lattices
Control code
875858859
Dimensions
unknown
Extent
1 online resource (156 pages)
File format
multiple file formats
Form of item
online
Isbn
9781627052764
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1088/978-1-627-05276-4
Other physical details
illustrations.
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)875858859

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