Uniform attractor for the fractional nonautonomous long-short wave equations

DOI10.1155/2014/712183zbMath1419.35207OpenAlexW2108805396WikidataQ59037974 ScholiaQ59037974MaRDI QIDQ2321489

Jie Xin, Huanmin Ge

Publication date: 23 August 2019

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

Full work available at URL: https://doi.org/10.1155/2014/712183

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Cites Work

• Weakly compact uniform attractor for the nonautonomous long-short wave equations
• On fractional Schrödinger equation in \(\alpha \)-dimensional fractional space
• Global attractors for damped semilinear wave equations.
• Fractional quantum mechanics and Lévy path integrals
• Attractors of non-autonomous dynamical systems and their dimension
• Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in \(\mathbb{R}^2\)
• Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation
• Long time behavior for the weakly damped driven long-wave--short-wave resonance equations
• Some physical applications of fractional Schrödinger equation
• The global solution of the (2+1)-dimensional long wave–short wave resonance interaction equation
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