Quasi-periodic Solutions for One-Dimensional Nonlinear Lattice Schrödinger Equation with Tangent Potential

DOI10.1137/120878434zbMath1287.37053OpenAlexW2008555239MaRDI QIDQ5397640

Jiansheng Geng, Zhiyan Zhao

Publication date: 24 February 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1f410e2fe4a2099aeb8c92d28edb453496a61ce1

zbMATH Keywords

quasi-periodic solutionsKAM theorydense point spectrumlattice Schrödinger equation

Mathematics Subject Classification ID

Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (4)

Diffusion bound and reducibility for discrete Schrödinger equations with tangent potential ⋮ Localization in one-dimensional quasi-periodic nonlinear systems ⋮ Reducibility of one-dimensional quasi-periodic Schrödinger equations ⋮ Periodic solutions to nonlinear wave equation with \(X\)-dependent coefficients under the general boundary conditions

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