Finite dimensional global attractor for dissipative Schrödinger-Boussinesq equations

DOI10.1006/jmaa.1996.5148zbMath0958.35129OpenAlexW2041238496MaRDI QIDQ1353810

Yongsheng Li, Qingyi Chen

Publication date: 2 April 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5148

zbMATH Keywords

existence of global attractorsfractal dimensionsdissipative Schrödinger-Bouissinesq equations

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (21)

Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger–Boussinesq system ⋮ Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations ⋮ Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations ⋮ Conservative compact finite difference scheme for the coupled <scp>S</scp>chrödinger–<scp>B</scp>oussinesq equation ⋮ Statistical solution and Liouville type theorem for coupled Schrödinger-Boussinesq equations on infinite lattices ⋮ Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled <scp>Schrödinger–Boussinesq</scp> equations ⋮ Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations ⋮ Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation ⋮ Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system ⋮ Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations ⋮ Finite dimension of global attractors for dissipative equations governing modulated wave ⋮ Unnamed Item ⋮ A predictor-corrector scheme for the numerical solution of the Boussinesq equation ⋮ Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations ⋮ The Cauchy problem for Schrödinger-damped Boussinesq system ⋮ Unconditional \(L^{\infty}\) convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations ⋮ Global attractor for the nonlinear strain waves in elastic waveguides ⋮ A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations ⋮ Global well-posedness for the fractional Schrödinger-Boussinesq system ⋮ Efficient and conservative compact difference scheme for the coupled Schrödinger-Boussinesq equations ⋮ Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger–Boussinesq equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors for damped nonlinear hyperbolic equations
• Finite dimensional behavior for weakly damped driven Schrödinger equations
• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Infinite-dimensional dynamical systems in mechanics and physics
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Finite dimensional behavior of global attractors for weakly damped nonlinear Schrödinger-Boussinesq equations
• Attractors for the dissipative Zakharov system
• Attractors representing turbulent flows
• Equivalent Norms for Sobolev Spaces

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