Symmetry analysis for a fourth-order noise-reduction partial differential equation
From MaRDI portal
Publication:5023612
DOI10.2989/16073606.2020.1812009OpenAlexW3091076659WikidataQ114039700 ScholiaQ114039700MaRDI QIDQ5023612
Andronikos Paliathanasis, Peter G. L. Leach
Publication date: 24 January 2022
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06323
Nonlinear evolution equations (47J35) Other special methods applied to PDEs (35A25) Classical solutions to PDEs (35A09)
Related Items (2)
An Invariance and Closed Form Analysis of the Nonlinear Biharmonic Beam Equation ⋮ Lie algebra classification, conservation laws, and invariant solutions for a generalization of the Levinson-Smith equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Image processing and `noise removal algorithms' -- the PDEs and their invariance properties \& conservation laws
- Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
- Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- High order nonlocal symmetries and exact interaction solutions of the variable coefficient KdV equation
- Noether symmetries of the area-minimizing Lagrangian
- Classification of the Lie and Noether point symmetries for the wave and the Klein-Gordon equations in pp-wave spacetimes
- Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations
- Symmetry Lie algebras of \(n\)th order ordinary differential equations
- Fourth-order partial differential equations for noise removal
- A Complete Symmetry Classification and Reduction of Some Classes of the Nonlinear (1-2) Wave Equation
- Generalizing the autonomous Kepler–Ermakov system in a Riemannian space
- Symmetries, Symmetry Reductions and Exact Solutions to the Generalized Nonlinear Fractional Wave Equations
- Lie point symmetries for systems of second order linear ordinary differential equations
- Sl(3,R) and the repulsive oscillator
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. II. Realizations of the Lie algebra
- THE LIE ALGEBRA sl(3, R) AND LINEARIZATION
- A Basis of Conservation Laws for Partial Differential Equations
- Efficient Minimization Method for a Generalized Total Variation Functional
- Adaptive Kernel-Based Image Denoising Employing Semi-Parametric Regularization
- Symmetry group classification of ordinary differential equations: Survey of some results
- Symmetries and differential equations
This page was built for publication: Symmetry analysis for a fourth-order noise-reduction partial differential equation
