Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations
From MaRDI portal
Publication:1736179
DOI10.1016/j.jde.2018.10.033zbMath1417.35176arXiv1606.06213OpenAlexW2470467268MaRDI QIDQ1736179
Mathew A. Johnson, Kyle M. Claassen
Publication date: 26 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.06213
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)
Related Items (6)
Periodic waves in the fractional modified Korteweg-de Vries equation ⋮ On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation ⋮ Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation ⋮ Green's function for the fractional KdV equation on the periodic domain via Mittag-Leffler function ⋮ Stability of periodic waves for the fractional KdV and NLS equations ⋮ Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations
- Nonlinear fractional Schrödinger equations in one dimension
- Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations
- On fractional Schrödinger equations in Sobolev spaces
- Stability of small periodic waves for the nonlinear Schrödinger equation
- Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations
- Riesz transforms on compact Riemannian symmetric spaces of rank one
- Stability theory of solitary waves in the presence of symmetry. II
- Instability of nonlinear dispersive solitary waves
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Fractional quantum mechanics and Lévy path integrals
- The stability spectrum for elliptic solutions to the sine-Gordon equation
- On the continuum limit for discrete NLS with long-range lattice interactions
- Spectral and dynamical stability of nonlinear waves
- Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves
- Orbital stability in the cubic defocusing NLS equation. II: The black soliton
- On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
- An instability index theory for quadratic pencils and applications
- Boson stars as solitary waves
- Orbital stability of periodic waves for the nonlinear Schrödinger equation
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations
- Stability indices for constrained self-adjoint operators
- Asymptotic stability of the black soliton for the Gross–Pitaevskii equation
- Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph
- Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations
- An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
- Orbital stability of the black soliton for the Gross-Pitaevskii equation
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- On the stability theory of solitary waves
- Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions
- Stability of Periodic Waves of 1D Cubic Nonlinear Schrödinger Equations
- Eigenvalues, and instabilities of solitary waves
- Financial Modelling with Jump Processes
- Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation
- Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation
- Elliptic solutions of the defocusing NLS equation are stable
- An Extension Problem Related to the Fractional Laplacian
This page was built for publication: Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations
