03337nam 2200529 450 991082471680332120230814221933.03-11-054941-73-11-054963-810.1515/9783110549638(CKB)4100000002964640(MiAaPQ)EBC5158201(DE-B1597)482459(OCoLC)1029821376(OCoLC)1038716997(DE-B1597)9783110549638(Au-PeEL)EBL5158201(CaPaEBR)ebr11566832(EXLCZ)99410000000296464020180613d2018 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSolitons /Boling Guo [and three others]Berlin ;Boston :Walter de Gruyter, GmbH,[2018]©20181 online resource (376 pages)3-11-054924-7 Includes bibliographical references.Frontmatter -- Contents -- 1. Introduction -- 2. Inverse scattering transform -- 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- 4. Interaction of solitons and its asymptotic properties -- 5. Hirota method -- 6. Bäcklund transformations and the infinitely many conservation laws -- 7. Multi-dimensional solitons and their stability -- 8. Numerical computation methods for some nonlinear evolution equations -- 9. The geometric theory of solitons -- 10. Global existence and blow up for the nonlinear evolution equations -- 11. The soliton movements of elementary particles in nonlinear quantum field -- 12. The theory of soliton movement of superconductive features -- 13. The soliton movements in condensed state systems -- BibliographyThis book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontentsSolitonsWave-motion, Theory ofSolitons.Wave-motion, Theory of.530.12/4Guo Boling, 879545Guo BolingMiAaPQMiAaPQMiAaPQBOOK9910824716803321Solitons3929442UNINA02969nam0 2200565 i 450 VAN011443520220302032723.874978-30-348-0964-120180205d2016 |0itac50 baengCH|||| |||||Application of holomorphic functions in two and higher dimensionsKlaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig[Basel]BirkhäuserSpringer2016XV, 390 p.ill.24 cmVAN0241956Application of holomorphic functions in two and higher dimensions152315176-XXFluid mechanics [MSC 2020]VANC019858MF35KxxParabolic equations and parabolic systems [MSC 2020]VANC020301MF43-XXAbstract harmonic analysis [MSC 2020]VANC021258MF30CxxGeometric function theory [MSC 2020]VANC021375MF78-XXOptics, electromagnetic theory [MSC 2020]VANC022356MF33CxxHypergeometric functions [MSC 2020]VANC022592MF35JxxElliptic equations and elliptic systems [MSC 2020]VANC022717MF35CxxRepresentations of solutions to partial differential equations [MSC 2020]VANC023083MF74BxxElastic materials [MSC 2020]VANC023433MF35FxxGeneral first-order partial differential equations and systems of first-order partial differential equations [MSC 2020]VANC025989MF62PxxApplications of statistics [MSC 2020]VANC027777MF30AxxGeneral properties of functions of one complex variable [MSC 2020]VANC028784MF30GxxGeneralized function theory [MSC 2020]VANC033890MFHypercomplex numbersKW:KHypercomplex versions of Fourier transformsKW:KInitial boundary value problemsKW:KPartial differential equationsKW:KQuaternionic anaylsisKW:KQuaternionic operator calculusKW:KBaselVANL002076GürlebeckKlausVANV088524530362HabethaKlausVANV088525755827SprößigWolfgangVANV080422721687Birkhäuser <editore>VANV108193650Springer <editore>VANV108073650Sprössig, WolfgangSprößig, WolfgangVANV080423ITSOL20240614RICAhttp://dx.doi.org/10.1007/978-3-0348-0964-1E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA CENTRO DI SERVIZIO SBAVAN15NVAN0114435BIBLIOTECA CENTRO DI SERVIZIO SBA15CONS SBA EBOOK 2119 15EB 2119 20180205 Application of holomorphic functions in two and higher dimensions1523151UNICAMPANIA