MARC Record from Library of Congress

LEADER: 02787cam a22003614a 4500
001 2011025637
003 DLC
005 20120327083918.0
008 110615s2011 enka b 001 0 eng
010 $a 2011025637
016 7 $a015826145$2Uk
020 $a9781107621541 (pbk.)
020 $a1107621542 (pbk.)
035 $a(OCoLC)ocn727702109
040 $aDLC$cDLC$dYDX$dBTCTA$dYDXCP$dUKMGB$dIAD$dDEBBG$dZCU$dBWX$dPUL$dCOO$dCDX$dDLC
042 $apcc
050 00 $aQC174.26.W28$bP45 2011
082 00 $a530.12/4$223
084 $aMAT000000$2bisacsh
084 $aMAT 356f$2stub
100 1 $aPelinovsky, Dmitry.
245 10 $aLocalization in periodic potentials :$bfrom Schrödinger operators to the Gross-Pitaevskii equation /$cDmitry E. Pelinovsky.
260 $aCambridge, UK ;$aNew York :$bCambridge University Press,$c2011.
300 $ax, 398 p. :$bill. ;$c23 cm.
490 1 $aLondon Mathematical Society lecture note series ;$v390
520 $a"This book provides a comprehensive treatment of the Gross-Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose-Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schrödinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schrödinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross-Pitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials"--$cProvided by publisher.
504 $aIncludes bibliographical references and index.
505 8 $aMachine generated contents note: Preface; 1. Formalism of the nonlinear Schrödinger equations; 2. Justification of the nonlinear Schrödinger 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; References; Index.
650 0 $aSchrödinger equation.
650 0 $aGross-Pitaevskii equations.
650 0 $aLocalization theory.
830 0 $aLondon Mathematical Society lecture note series ;$v390.
856 42 $3Cover image$uhttp://assets.cambridge.org/97811076/21541/cover/9781107621541.jpg