Wavelet approximate inertial manifold in nonlinear solitary wave equation

DOI10.1063/1.533437zbMath0973.35169OpenAlexW1964533768MaRDI QIDQ2738147

Lixin Tian

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533437

zbMATH Keywords

error estimatesKorteweg-de Vries equationwavelet Galerkin solutionwavelet approximate inertial manifold

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) KdV equations (Korteweg-de Vries equations) (35Q53) Approximation by other special function classes (41A30) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (2)

Wavelet approximate inertial manifold and numerical solution of Burgers' equation ⋮ The concave or convex peaked and smooth soliton solutions of Camassa-Holm equation

Cites Work

• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• \(p\) dissipative operator
• A note on the strong convergence towards attractors of damped forced KdV equations
• Attractors of dissipative soliton equation
• Wavelet projections of the Kuramoto-Sivashinsky equation. I: Heteroclinic cycles and modulated traveling waves for short systems
• A new method of studying the dynamical behaviour of the sine-Gordon equation
• Fast wavelet transforms and numerical algorithms I
• A Fast Algorithm for the Evaluation of Legendre Expansions
• The Schrödinger operator
• Convergence Estimates for the Wavelet Galerkin Method

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