Initial value problem of the discrete nonlinear Schrödinger equation with complex potential
DOI10.1080/00036811.2021.1906415zbMath1505.37095OpenAlexW3165262351MaRDI QIDQ5037942
Guoping Zhang, Alexander A. Pankov
Publication date: 29 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1906415
semigroupinitial value problemattractorcomplex potentialdiscrete nonlinear Schrödinger equationLipschitz continuous
Attractors (35B41) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)
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Cites Work
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- Existence of breather solutions of the DNLS equations with unbounded potentials
- The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
- Gap solitons in periodic discrete nonlinear Schrödinger equations with saturable nonlinearities
- Standing waves of the discrete nonlinear Schrödinger equations with growing potentials
- Semigroups of linear operators and applications to partial differential equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Attractors for second order lattice dynamical systems
- On localized solutions of discrete nonlinear Schrödinger equation: an exact result
- Attractors for first-order dissipative lattice dynamical systems
- Attractors and approximations for lattice dynamical systems
- Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping
- Standing wave solutions for discrete nonlinear Schrödinger equations with unbounded potentials and saturable nonlinearity
- Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach
- Attractors and dimension of dissipative lattice systems
- A short course on operator semigroups
- Global existence and compact attractors for the discrete nonlinear Schrödinger equation
- Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity
- Global well-posedness for discrete non-linear Schrödinger equation
- Standing wave solutions of the discrete non-linear Schrödinger equations with unbounded potentials, II
- Breather solutions of the discrete nonlinear Schrödinger equations with unbounded potentials
- Excitation thresholds for nonlinear localized modes on lattices
- Breather solutions of the discrete nonlinear Schrödinger equations with sign changing nonlinearity
- Gap solitons in periodic discrete nonlinear Schrödinger equations
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
- The existence of a global attractor for the discrete nonlinear Schrödinger equation. II. Compactness without tail estimates in $\mathbb{Z}^N$, $N\geq1$, lattices
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