Group classification of linear evolution equations
From MaRDI portal
Publication:730210
DOI10.1016/j.jmaa.2016.11.020zbMath1368.35013arXiv1605.09251OpenAlexW2409914804MaRDI QIDQ730210
Alexander Bihlo, Roman O. Popovych
Publication date: 23 December 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.09251
exact solutionsequivalence transformationsLie symmetriesLie reductiongroup classification of differential equationsmaximally gauged class
Related Items (14)
A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ Group classification and conservation laws of a class of hyperbolic equations ⋮ Extended symmetry analysis of remarkable (1+2)-dimensional Fokker–Planck equation ⋮ Linearizability for third order evolution equations ⋮ Group analysis of general Burgers–Korteweg–de Vries equations ⋮ Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations ⋮ Abelian Lie symmetry algebras of two‐dimensional quasilinear evolution equations ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Lie symmetry analysis and traveling wave solutions of equal width wave equation ⋮ Algebraic method for group classification of \((1+1)\)-dimensional linear Schrödinger equations ⋮ Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein-Gordon equations ⋮ Enhanced symmetry analysis of two-dimensional Burgers system ⋮ Comment on ‘Conformal invariance of the Lundgren–Monin–Novikov equations for vorticity fields in 2D turbulence’ ⋮ Comment on ‘Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence’
Cites Work
- Conservation laws and normal forms of evolution equations
- Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
- Systems of second-order linear ODE's with constant coefficients and their symmetries
- Enhanced preliminary group classification of a class of generalized diffusion equations
- Symmetries and solutions to the thin film equations
- Simplifying the form of Lie groups admitted by a given differential equation
- Admissible transformations and normalized classes of nonlinear Schrödinger equations
- Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
- Symmetry algebras of linear differential equations
- All solutions of standard symmetric linear partial differential equations have classical Lie symmetry
- Symmetries of linear and linearizable systems of differential equations
- Group classification of linear fourth-order evolution equations
- On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients
- Master partial differential equations for a type II hidden symmetry
- Conservation laws and potential symmetries of linear parabolic equations
- Fourth-order partial differential equations for noise removal
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Symmetry preserving parameterization schemes
- Complete group classification of a class of nonlinear wave equations
- Simplest potential conservation laws of linear evolution equations
- Symmetries of linear systems of second-order ordinary differential equations
- Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
- Evolution equations possessing infinitely many symmetries
- Group classification of heat conductivity equations with a nonlinear source
- Existence of Undercompressive Traveling Waves in Thin Film Equations
- Extended symmetry analysis of generalized Burgers equations
- Symmetries of variable coefficient Korteweg–de Vries equations
- Symmetry classification of KdV-type nonlinear evolution equations
- Symmetry classes of variable coefficient nonlinear Schrodinger equations
- Complete group classification of systems of two linear second‐order ordinary differential equations: the algebraic approach
- The Lie point symmetry generators admitted by systems of linear differential equations
- How to calculate all point symmetries of linear and linearizable differential equations
- Reduction operators of linear second-order parabolic equations
- The structure of Lie algebras and the classification problem for partial differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Group classification of linear evolution equations
