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Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with 𝒫𝒯-symmetry
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 150 / Issue 1 / February 2020
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- 24 January 2019, pp. 171-204
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- February 2020
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Contents
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- Localization in Periodic Potentials
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2 - Justification of the nonlinear Schrödinger equations
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Preface
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4 - Stability of localized modes
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5 - Traveling localized modes in lattices
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Index
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Localization in Periodic Potentials
- From Schrödinger Operators to the Gross–Pitaevskii Equation
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1 - Formalism of the nonlinear Schrödinger equations
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References
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Appendix B - Selected topics of applied analysis
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Frontmatter
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3 - Existence of localized modes in periodic potentials
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Appendix A - Mathematical notation
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On internal wave–shear flow resonance in shallow water
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- Journal of Fluid Mechanics / Volume 354 / 10 January 1998
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- 10 January 1998, pp. 209-237
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