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Introduction to the mathematical physics of nonlinear waves /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to the mathematical physics of nonlinear waves // Minoru Fujimoto.
Author:	Fujimoto, Minoru,
Description:	1 online resource (various pagings) :illustrations. :
Notes:	"Version: 20140301"--Title page verso.
Subject:	Nonlinear waves. -
Online resource:	http://iopscience.iop.org/book/978-1-627-05276-4

Introduction to the mathematical physics of nonlinear waves /
Fujimoto, Minoru,

Introduction to the mathematical physics of nonlinear waves /Minoru Fujimoto. - 1 online resource (various pagings) :illustrations. - IOP concise physics,.

"Version: 20140301"--Title page verso.

Includes bibliographical references.

Introduction -- Preface

Full-text restricted to subscribers or individual document purchasers.

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.

Mode of access: World Wide Web.

Minoru Fujimoto is a retired professor of the University of Guelph, Ontario, Canada. Engaged in experimental work on magnetic resonance on structural phase transitions, his books Physics of Classical Electromagnetism and Thermodynamics of Crystalline States were published by Springer.

Standard No.: 10.1088/978-1-627-05276-4doiSubjects--Topical Terms:

527903
Nonlinear waves.

LC Class. No.: QA927 / .F845 2014eb

Dewey Class. No.: 530.155355

Introduction to the mathematical physics of nonlinear waves /
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100 1 $a Fujimoto, Minoru, $e author. $3 985732
245 1 0 $a Introduction to the mathematical physics of nonlinear waves / $c Minoru Fujimoto.
264 1 $a San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : $b Morgan & Claypool Publishers, $c [2014]
264 2 $a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : $b IOP Publishing, $c [2014]
300 $a 1 online resource (various pagings) : $b illustrations.
336 $a text $2 rdacontent
337 $a electronic $2 isbdmedia
338 $a online resource $2 rdacarrier
500 $a "Version: 20140301"--Title page verso.
500 $a "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
504 $a Includes bibliographical references.
505 0 $a Introduction -- Preface
505 8 $a 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
505 8 $a Wave propagation, singularities and boundaries -- Elastic waves along a linear string of infinite length -- Microwave transmission -- Schr�odinger's equation -- Scattering by the potential V(x) = V b0 s sech p2 s x -- Two-dimensional waves in inhomogeneous medium -- Sound propagation in air
505 8 $a 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
505 8 $a Structural phase transitions -- Initial uncertainties and transition anomalies -- Dynamical theory of collective motion -- Pseudopotential and sine-Gordon equation
505 8 $a 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
505 8 $a Scattering theory -- One-component waves -- Two-component scatterings
505 8 $a Method of inverse scatterings -- Coherent wave packets and Marchenko's equation -- Reflectionless multi-soliton potentials -- Two-component systems
505 8 $a 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 Schr�odinger equation
505 8 $a The B�acklund transformation and sine-Gordon equations -- The Klein-Gordon equation -- The B�acklund transformation -- The sine-Gordon equation -- Numerical analysis of the sine-Gordon equation -- Inverse scatterings and the B�acklund transformation -- Scatterings by a pseudopotential
505 8 $a Miscellaneous applications -- Surface waves -- Vortex motion in fluid media -- Plasma oscillation -- Laser light transmission through absorbing media -- Periodic lattices.
506 $a Full-text restricted to subscribers or individual document purchasers.
520 3 $a 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.
530 $a Also available in print.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
545 $a Minoru Fujimoto is a retired professor of the University of Guelph, Ontario, Canada. Engaged in experimental work on magnetic resonance on structural phase transitions, his books Physics of Classical Electromagnetism and Thermodynamics of Crystalline States were published by Springer.
588 $a Title from PDF title page (viewed on March 28, 2014).
650 0 $a Nonlinear waves. $3 527903
650 0 $a Nonlinear wave equations. $3 857801
650 0 $a Mathematical physics. $3 527831
650 7 $a Mathematical Physics. $3 786661
650 7 $a SCIENCE / Physics / Mathematical & Computational. $2 bisacsh $3 985733
710 2 $a Morgan & Claypool Publishers, $e publisher. $3 985722
710 2 $a Institute of Physics (Great Britain), $e publisher. $3 985711
776 0 8 $i Print version: $z 9781627052757
830 0 $a IOP concise physics, $x 2053-2571. $3 985723
856 4 0 $u http://iopscience.iop.org/book/978-1-627-05276-4