孤子波影印版（第2版）

　　Chapter 1 was expanded by a discussion of the discovery of solitons in the field of electromagnetic waves and optics. A new section devoted to nonlinear transmission lines and their applications in the microwave range has been added to Chap. 3. It seems to me that it was important to describe laboratory experiments on modulational instability， and subsequent generation of solitons， both in electrical transmission lines and in deep water in Chaps. 4 and 5. A description of a very simple experimental pocket version of the mechanical transmission line has been included in Chap. 6. Such a versatile and useful device should stimulate a practical approach to soliton physics. Chapter 7 was completed by a short presentation of some recent experimental results on discrete Josephson transmission lines. A discussion of the experimental modulational instability of coupled optical waves and a simple look at quantum solitons were added to Chap. 8 in order to introduce the reader to such remarkable topics.本书为英文版。

暂缺《孤子波影印版（第2版）》作者简介

1BasicConceptsandtheDiscoveryofSolitons
1.1Alookatlinearandnonlinearsignatures
1.2Discoveryofthesolitarywave
1.3Discoveryofthesoliton
1.4Thesolitonconceptinphysics
2LinearWavesinElectricalTransmissionLines
2.1Linearnondispersivewaves
2.2Sinusoidal-wavecharacteristics
2.2.1Waveenergydensityandpower
2.3Thegroup-velocityconcept
2.4Lineardispersivewaves
2.4.1Dispersivetransmissionlines
2.4.2Electricalnetwork
2.4.3Theweaklydispersivelimit
2.5Evolutionofawavepacketenvelope
2.6Dispersion-inducedwavepacketbroadening
Appendix2A.Generalsolutionfortheenvelopeevolution
Appendix2B.EvolutionoftheenvelopeofaGaussianwavepacket
3SolitonsinNonlinearTransmissionLines
3.1Nonlinearanddispersionlesstransmissionlines
3.2Combinedeffectsofdispersionandnonlinearity
3.3Electricalsolitarywavesandpulsesolitons
3.4Laboratoryexperimentsonpulsesolitons
3.4.1Experimentalarrangement
3.4.2Seriesofexperiments
3.5Experimentswithapocketversionoftheelectricalnetwork
3.6Nonlineartransmissionlinesinthemicrowaverange
Appendix3A.Calculationoftheeffectofnonlinearityonwavepropagation
Appendix3B.Derivationofthesolitary-wavesolution
Appendix3C.DerivationoftheKdVequationanditssolitonsolution
Appendix3D.Detailsoftheelectronics:switchdriverandpulsegenerator
4MoreonTransmission-LineSolitons
4.1LatticesolitonsintheelectricalTodanetwork
4.1.1Latticesolitons
4.2Experimentsonlatticesolitons
4.2.1Collisionsoftwolatticesolitonsmovinginoppositedirections
4.2.2TheFermi-Pasta-Utamrecurrencephenomenon
4.3Periodicwavetrainsintransmissionlines
4.3.1Thesolitarywavelimitandsinusoidallimitofthecnoidalwave
4.4Modulatedwavesandthenonlineardispersionrelation
4.5Envelopeandholesolitons
4.5.1Experimentsonenvelopeandholesolitons
4.6Modulationalinstability
4.7Laboratoryexperimentsonmodulationalinstability
4.7.1Modelequations
4.7.2Experiments
4.8Modulationalinstabilityoftwocoupledwaves
Appendix4A.Periodicwavetrainsolutions
Appendix4B.TheJacobiellipticfunctions
4B.1Asymptoticlimits
4B.2Derivativesandintegrals
Appendix4C.Envelopeandholesolitonsolutions
5HydrodynamicSolitons
5.1Equationsforsurfacewaterwaves
5.1.1Reducedfluidequations
5.2Small-amplitudesurfacegravitywaves
5.3Linearshallow-anddeep-waterwaves
5.3.1Shallow-waterwaves
5.3.2Deep-waterwaves
5.4Surface-tensioneffects:capillarywaves
5.5Solitonsinshallowwater
5.6Experimentsonsolitonsinshallowwater
5.6.1Experimentalarrangement
5.6.2Experiments
5.7Stokeswavesandsolitonwavepacketsindeepwater
5.7.1Stokeswaves
5.7.2Solitonwavepackets
5.7.3Experimentsonsolitonsindeepwater
5.8Experimentsonmodulationalinstabilityindeepwater
Appendix5A.Basicequationsoffluidmechanics
5A.1Conservationofmass
5A.2Conservationofmomentum
5A.3Conservationofentropy
Appendix5B.Basicdefinitionsandapproximations
5B.1Streamline
5B.2Irrotationalandincompressibleflow
5B.3Two-dimensionalflow:thestreamfunction
5B.4Boundaryconditions
5B.5Surfacetension
Appendix5C.DerivationoftheKdVequation:theperturbativeapproach
Appendix5D.Derivationofthenonlineardispersionrelation
Appendix5E.Detailsoftheprobesandtheelectronics
6MechanicalSolitons
6.1Anexperimentalmechanicaltransmisssionline
6.1.1Generaldescriptionoftheline
6.1.2Constructionoftheline
6.2Mechanicalkinksolitons
6.2.1Linearwavesinthelow-amplitudelimit
6.2.2Largeamplitudewaves:kinksolitons
6.2.3Lorentzcontractionofthekinksolitons
6.3Particlepropertiesofthekinksolitons
6.4Kink-kinkandkink-antikinkcollisions
6.5Breathersolitons
6.6Experimentsonkinksandbreathers
6.7Helicalwaves,orkinkarray
6.8Dissipativeeffects
6.9Envelopesolitons
6.10Pocketversionofthependulumchain,latticeeffects
Appendix6A.Kinksolitonandantikinksolitonsolutions
Appendix6B.Calculationoftheenergyandthemassofakinksoliton
Appendix6C.Solutionsforkink-kinkandkink-antikinkcollisions,andbreathers
6C.1Kinksolutions
6C.2Kink-kinkcollisions
6C.3Breathersolitons
6C.4Kink-antikinkcollision
Appendix6D.Solutionsforhelicalwaves
7FluxonsinJosephsonTransmissionLines
7.1TheJosephsoneffectinashortjunction
7.1.1ThesmallJosephsonjunction
7.2ThelongJosephsonjunctionasatransmissionline
7.3Dissipativeeffects
7.4Experimentalobservationsoffluxons
7.4.1Indirectobservation
7.4.2Directobservation
7.4.3Latticeeffects
Appendix7A.Josephsonequations
8SolitonsinOpticalFibers
8.1Optical-fibercharacteristics
8.1.1Lineardispersiveeffects
8.1.2Nonlineareffects
8.1.3Effectoflosses
8.2Wave-envelopepropagation
8.3Brightanddarksolitons
8.3.1Brightsolitons
8.3.2Darksolitons
8.4Experimentsonopticalsolitons
8.5Perturbationsandsolitoncommunications
8.5.1Effectoflosses
8.5.2Solitoncommunications
8.6Modulationalinstabilityofcoupledwaves
8.7Alookatquantumopticalsolitons
Appendix8A.Electromagneticequationsinanonlinearmedium
9TheSolitonConceptinLatticeDynamics
9.1Theone-dimensionallatticeinthecontinuumapproximation
9.2Thequasi-continuumapproximationforthemonatomiclattice
9.3TheTodalattice
9.4Envelopesolitonsandlocalizedmodes
9.5Theone-dimensionallatticewithtransversenonlinearmodes
9.6Moticnofdislocationsinaone-dimensionalcrystal
9.7Theone-dimensionallatticemodelforstructuralphasetransitions
9.7.1Theorder-disordertransition
9.7.2Thedisplacivetransition
Appendix9A.Solutionsfortransversedisplacements
Appendix9B.Kinksolitonordomain-wallsolutions
10ALookatSomeRemarkableMathematicalTechniques
10.1Laxequationsandtheinversescatteringtransformmethod
10.1.1TheFourier-transformmethodforlinearequations
10.1.2TheLaxpairfornonlinearevolutionequations
10.2TheKdVequationandthespectralproblem
10.3Timeevolutionofthescatteringdata
10.3.1Discreteeigenvalues
10.3.2Continuousspectrum
10.4Theinversescatteringproblem
10.4.1Discretespectrumonly:solitonsolution
10.5ResponseoftheKdVmodeltoaninitialdisturbance
10.5.1Thedeltafunctionpotential
10.5.2Therectangularpotentialwell
10.5.3Thesech-squaredpotentialwell
10.6TheinversescatteringtransformfortheNLSequation
10.7TheHirotamethodfortheKdVequation
10.8TheHirotamethodfortheNLSequation
References
SubjectIndex