LEADER 03695nam  22007212  450 
001 9910781860403321
005 20151005020623.0
010   $a1-107-23231-7
010   $a9786613342591
010   $a1-139-16162-8
010   $a1-139-15781-7
010   $a1-139-16062-1
010   $a1-283-34259-6
010   $a1-139-15605-5
010   $a1-139-15957-7
010   $a0-511-99775-2
035   $a(CKB)2550000000061245
035   $a(EBL)807232
035   $a(OCoLC)767579454
035   $a(SSID)ssj0000555056
035   $a(PQKBManifestationID)11366522
035   $a(PQKBTitleCode)TC0000555056
035   $a(PQKBWorkID)10517584
035   $a(PQKB)10517820
035   $a(UkCbUP)CR9780511997754
035   $a(MiAaPQ)EBC807232
035   $a(Au-PeEL)EBL807232
035   $a(CaPaEBR)ebr10514101
035   $a(CaONFJC)MIL334259
035   $a(PPN)19943834X
035   $a(EXLCZ)992550000000061245
100   $a20110112d2011||||  uy|            0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLocalization in periodic potentials $efrom Schro?dinger operators to the Gross-Pitaevskii equation /$fDmitry E. Pelinovsky$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2011.
215   $a1 online resource (x, 398 pages) $cdigital, PDF file(s)
225 1 $aLondon Mathematical Society lecture note series ;$v390
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-62154-2 
320   $aIncludes bibliographical references and index.
327   $a1. Formalism of the nonlinear Schro?dinger equations -- 2. Justification of the nonlinear Schro?dinger equations -- 3. Existence of localized modes in periodic potentials -- 4. Stability of localized modes -- 5. Traveling localized modes in lattices -- Appendix A. Mathematical notations -- Appendix B. Selected topics of applied analysis.
330   $aThis book provides a comprehensive treatment of the Gross-Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose-Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schro?dinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schro?dinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross-Pitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials.
410  0$aLondon Mathematical Society lecture note series ;$v390.
606   $aSchro?dinger equation
606   $aGross-Pitaevskii equations
606   $aLocalization theory
615  0$aSchro?dinger equation.
615  0$aGross-Pitaevskii equations.
615  0$aLocalization theory.
676   $a530.12/4
686   $aMAT000000$2bisacsh
686   $aMAT 356f$2stub
700   $aPelinovsky$b Dmitry$0477390
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910781860403321
996   $aLocalization in periodic potentials$9239904
997   $aUNINA