Book contents
- Frontmatter
- Contents
- 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 notation
- Appendix B Selected topics of applied analysis
- References
- Index
3 - Existence of localized modes in periodic potentials
Published online by Cambridge University Press: 05 November 2011
- Frontmatter
- Contents
- 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 notation
- Appendix B Selected topics of applied analysis
- References
- Index
Summary

- Type
- Chapter
- Information
- Localization in Periodic PotentialsFrom Schrödinger Operators to the Gross–Pitaevskii Equation, pp. 118 - 192Publisher: Cambridge University PressPrint publication year: 2011