Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization
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Publication:1716288
DOI10.1134/S0040577918090052zbMath1409.35087arXiv1705.00491OpenAlexW2767854637MaRDI QIDQ1716288
Decio Levi, Luigi Martina, Pavel Winternitz
Publication date: 4 February 2019
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.00491
Related Items (2)
Differential Equations Invariant Under Conditional Symmetries ⋮ The discretized Boussinesq equation and its conditional symmetry reduction
Cites Work
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- Asymptotic blow-up analysis for singular Liouville type equations with applications
- Symmetry classification of quasi-linear PDE's containing arbitrary functions
- Structure preserving discretizations of the Liouville equation and their numerical tests
- On the structure of Lie pseudo-groups
- Weyl symmetry and the Liouville theory
- Infinite conformal symmetry in two-dimensional quantum field theory
- General solutions to the 2D Liouville equation
- On the geometry of Liouville equation: symmetries, conservation laws, and Bäcklund transformations
- Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem
- Conformal bootstrap in Liouville field theory
- Group theoretical analysis of dispersive long wave equations in two space dimensions
- Lie point symmetries of difference equations and lattices
- Lie group classification of second-order ordinary difference equations
- Symmetry-adapted moving mesh schemes for the nonlinear Schrödinger equation
- Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations
- The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations
- LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
- Continuous symmetries of difference equations
- Discrete mechanics and variational integrators
- On Multivariate Interpolation
- A First Course in the Numerical Analysis of Differential Equations
- Moving Frames for Lie Pseudo–Groups
- Applications of Lie Groups to Difference Equations
- Invariant difference schemes and their application to sl(2\hbox{,}\, \mathbb {R}) invariant ordinary differential equations
- Liouville field theory: IST and Poisson bracket structure
- Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
- On the infinite-dimensional symmetry group of the Davey–Stewartson equations
- Symmetry-preserving difference schemes for some heat transfer equations
- Liouville theory revisited
- Algebra of pseudodifferential operators and symmetries of equations in the Kadomtsev–Petviashvili hierarchy
- Lie symmetries of multidimensional difference equations
- Lie group classification of first-order delay ordinary differential equations
- Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem
- A Heat Transfer with a Source: the Complete Set of Invariant Difference Schemes
- Continuous symmetries of Lagrangians and exact solutions of discrete equations
- Lie-point symmetries of the discrete Liouville equation
- The Korteweg–de Vries equation and its symmetry-preserving discretization
- The adjoint equation method for constructing first integrals of difference equations
- Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups
- Symmetry preserving numerical schemes for partial differential equations and their numerical tests
- Symmetry-Preserving Numerical Schemes
- Geometric integrators for ODEs
- Geometric Numerical Integration
- Difference schemes with point symmetries and their numerical tests
- Computer Algebra and Geometric Algebra with Applications
- Symmetries and differential equations
- Discrete analogues of the Liouville equation
- Noether-type theorems for difference equations
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