On the existence and stability of standing waves for 2-coupled nonlinear fractional Schrödinger system

DOI10.1155/2015/427487zbMath1418.35367OpenAlexW2234225826WikidataQ59105898 ScholiaQ59105898MaRDI QIDQ1723333

Xiuyan Sha, Jie Xin, Huanmin Ge

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/427487

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (6)

Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations ⋮ Long-time behavior of solutions for a system of \(N\)-coupled nonlinear dissipative half-wave equations ⋮ Existence and uniqueness of positive and bounded solutions of a discrete population model with fractional dynamics ⋮ The ground states for theNcoupled nonlinear fractional Schrödinger equations ⋮ Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion-reaction equations ⋮ Asymptotic dynamics of the solutions for a system of N-coupled fractional nonlinear Schrödinger equations

Cites Work

• Unnamed Item
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• Gauge invariance in fractional field theories
• The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
• Existence and orbital stability of standing waves for some nonlinear Schrödinger equations, perturbation of a model case
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional quantum mechanics and Lévy path integrals
• Stability and instability of standing waves to a system of Schrödinger equations with combined power-type nonlinearities
• Existence and stability of standing waves for nonlinear fractional Schrödinger equations
• Some physical applications of fractional Schrödinger equation
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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