中图分类法:	O175.24 版次：
著者:	Pelinovsky, Dmitry.
题名:	Localization in periodic potentials : [ from Schro?dinger operators to the Gross-Pitaevskii equation /] / ,
出版发行:	出版地： Cambridge, UK ; 出版社： Cambridge University Press, 出版日期： 2011.
载体形态:	x, 398 p. : ill. ; 23 cm.
内容提要:	"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 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" --
主题词:	Schro?dinger equation.
主题词:	Gross-Pitaevskii equations.
主题词:	Localization theory.
索书号:	1