Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; To Anna and my children: Albert and Edward, Marta and Polina; Contents; Preface; Formalism of the nonlinear Schrödinger equations; 1.1 Asymptotic multi-scale expansion methods; 1.1.1 The nonlinear Dirac equations; 1.1.2 The nonlinear Schrödinger equation; 1.1.3 The discrete nonlinear Schrödinger equation; 1.2 Hamiltonian structure and conserved quantities; 1.2.1 The coupled nonlinear Schrödinger equations; 1.2.2 The discrete nonlinear Schrödinger equation; 1.2.3 The nonlinear Dirac equations
Summary
Describes modern methods in the analysis of reduced models of Bose-Einstein condensation in periodic lattices
