非线性孤立子和混沌

图书标准信息

• 作者 Eryk、George Rowlands 著
• 出版社 世界图书出版公司
• 出版时间 2005-06
• 版次 1
• ISBN 9787506272704
• 定价 68.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 391页
• 正文语种 英语

【内容简介】

Thisrevisedandupdatedsecondeditionofahighlysuccessfulbookistheonlytextatthisleveltoembraceauniversaiapproachtothreemajordevelopmentsinclassicalphysics;namelynonlinearwaves，solitonsandchaos.Theauthorsnowincludenewmaterialonbiologyandlasertheory，andgoontodiscussimportantrecentdevelopmentssuchassolitonmetamorphosis.
Acomprehensivetreatmentofbasicplasmaandfluidconfigurationsandinstabilitiesisfollowedbyastudyoftherelevantnonlinearstructures.Examplesofthesearecoherententitieslikenonlinearwavesandsolitons，aswellastheincoherentstructuresassociatedwithchaos.Thefirstpartofthebookisaself-containedintroductiontogeneraltopicsassociatedwithnonlineargraduatephysics，andwouldbeaccessibletofinal-yearundergraduatesandbeginninggraduatestudents.Theremainderofthebook，forexamplethetreatmentofcylindricalsolitons，ismoreadvancedandwillhaveawideappealtospecialistsinanumberofbranchesofphysics.Eachchapterconcludeswithasetofproblems.
Thistextwillbeparticularlyvaluableforstudentstakingcoursesinnonlinearaspectsofphysics.Ingeneral，itwill.beofvaluetofinal-yearundergraduatesandbeginninggraduatestudentsstudyingfluiddynamics，plasmaphysicsorappliedmathematics.

【目录】

Forewordtothefirstedition
Forewordtothesecondedition
1Introduction
1.1OccurrenceofnonlinearwavesandinstabilitiesinNature
1.1.1Nonlinearphenomenainoureverydayexperience
1.1.2Nonlinearphenomenainthelaboratory
1.2Universalwaveequations
1.2.1TheKorteweg-deVriesandKadomtsev-Petviashviliequationsandafirstlookatsolitons
1.2.2ThenonlinearSchr6dingcrequation
1.2.3Nonlinearoptics
1.3Whatisaplasma?
1.4Wavemodesonawatersurface
1.4.1Mathematicaltheory
1.4.2Comments
1.5Linearstabilityanalysisanditslimitations
1.6Nonlinearstructures
1.6.1Coherentstructuresandpatternformation
1.7ContentsofChapters2-11

2Linearwavesandinstabilitiesininfinitemedia
2.1Introduction
2.2Plasmawaves
2.3CMMdiagrams
2.4Instabilities
2.5TheVlasovequations
2.6Weakinstabilites
Exercises

3Convectiveandnon-convectiveinstabilities;guoupvelcoityinunstablemedia
3.1Introdction
3.2Kinematicsofunstablewavepackets
3.3Movingcoordinatesystems
3.4Higherdimensionalsystems
3.5Summary
Exercise

4Afirstlookatsurfacewavesandinstabilities
4.1Introduction
4.2Simplesurfacewaves
4.3TheRayleigh-Taylorinstability
4.4TheKelvin-Helmholtzinstability
4.5Solid-liquidinterfaceinstabilities
4.6Afirstlookatgravitywaveinstabilities
4.6.1Thesmallamplitudeonsetofwaveinstability
4.6.2Furthernumericalresults
4.7Summary
Exercises

5Modelequationsforsmallamplitudewavesandsolitons;weaklynonlineartheory
5.1Introduction
5.1.1Somephysicalequationsaskforsurgery
5.1.2Examples
5.2Afewmodelequationsasderivedbyintroducingasmallparameter
5.2.1Shallowwater，weakamplitudegravitywaves
5.2.2Weakamplitudeionacousticwavesinanunmagnetizedplasma
5.2.3Weakamplitudeionacousticwavesinamagnetizedplasma
5.3Weaklynonlinearwaves
5.3.1Spreading,splittingandinstabilities
5.3.2Thestoryofdeepwaterwaves
5.3.3Mysteryofthemissingterm
5.3.4Dynamicsofawavepacket
5.3.5Somegeneralizations
5.4Agenerallookattwofamiliesofmodelequations
5.5AnaturalextensiontofiniteamplitudewavesduetoHayes
5.6Temporaldevelopmentofinstabilitiesandwave-wavecoupling
5.7Concludingremarks
Exercises

6Exactmethodsforfullynonlinearwavesandsolitons
6.1Introduction
6.2Phaseplaneanalysisandothermethods
……
7Cartesiansolitonsinondthetwospacedimensions
8Evolutionandstabilityofinitiallyone-dimensionalwavesandsolitons
9Cylindricalandsphericalsolitonsinpalsmasandothermedia
10Solitonmetamorphosis
11Non-coerentphenomena
Appendices
References
Authorindex
Subjectindex