A simple construction of recursion operators for multidimensional dispersionless integrable systems
From MaRDI portal
Publication:2360007
DOI10.1016/j.jmaa.2017.04.050zbMath1373.37159arXiv1501.01955OpenAlexW293984938MaRDI QIDQ2360007
Publication date: 23 June 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.01955
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (38)
Classifying algebraic invariants and algebraically invariant solutions ⋮ Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model ⋮ Nonlocal symmetries of integrable linearly degenerate equations: a comparative study ⋮ Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation ⋮ Recursion operators and tri-Hamiltonian structure of the first heavenly equation of Plebański ⋮ Geometric structure of the classical Lagrange-d'Alembert principle and its application to integrable nonlinear dynamical systems ⋮ Integrable \((3+1)\)-dimensional systems with rational Lax pairs ⋮ Integrability properties of the four-dimensional equation of universal hierarchy ⋮ Infinitely many nonlocal conservation laws for the \textit{ABC} equation with \(A+B+C\neq 0\) ⋮ Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation ⋮ Recursion operators and bi-Hamiltonian structure of the general heavenly equation ⋮ Lie-algebraic structure of Lax-Sato integrable heavenly equations and the Lagrange-d'Alembert principle ⋮ Recursion operators and bi-Hamiltonian representations of cubic evolutionary (2+1)-dimensional systems ⋮ Non-abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation ⋮ Five-dimensional Lax-integrable equation, its reductions and recursion operator ⋮ Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations ⋮ Linearly degenerate hierarchies of quasiclassical SDYM type ⋮ Extended symmetry analysis of an isothermal no-slip drift flux model ⋮ Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules ⋮ Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation ⋮ Integrability of \(S\)-deformable surfaces: conservation laws, Hamiltonian structures and more ⋮ Lax pairs, recursion operators and bi-Hamiltonian representations of \((3+1)\)-dimensional Hirota type equations ⋮ Integrable \((3 + 1)\)-dimensional system with an algebraic Lax pair ⋮ Evolutionary Hirota type \((2+1)\)-dimensional equations: Lax pairs, recursion operators and bi-Hamiltonian structures ⋮ Recursion operators in the cotangent covering of the rdDym equation ⋮ Dispersionless (3+1)-dimensional integrable hierarchies ⋮ On an integrable multi-dimensionally consistent 2 n + 2 n -dimensional heavenly-type equation ⋮ Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates ⋮ Integrability of anti-self-dual vacuum Einstein equations with nonzero cosmological constant: an infinite hierarchy of nonlocal conservation laws ⋮ Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation ⋮ Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems ⋮ Symmetries, integrals and hierarchies of new (3+1)-dimensional bi-Hamiltonian systems of Monge-Ampère type ⋮ Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation ⋮ Formal recursion operators of integrable nonevolutionary equations and Lagrangian systems ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators ⋮ Recursion operators for multidimensional integrable PDEs ⋮ A BASIS OF HIERARCHY OF GENERALIZED SYMMETRIES AND THEIR CONSERVATION LAWS FOR THE (3+1)-DIMENSIONAL DIFFUSION EQUATIONA ⋮ Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation
Cites Work
- Recursion operators and tri-Hamiltonian structure of the first heavenly equation of Plebański
- Local isometric immersions of pseudospherical surfaces described by evolution equations in conservation law form
- Infinitely many nonlocal conservation laws for the \textit{ABC} equation with \(A+B+C\neq 0\)
- On linear degeneracy of integrable quasilinear systems in higher dimensions
- Geometry of jet spaces and integrable systems
- Group classification of linear evolution equations
- The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries
- The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators
- Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations
- Local currents for the GL(N,\({\mathbb{C}})\) self-dual Yang-Mills equation
- Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
- On the integrability of symplectic Monge-Ampère equations
- Applications of symmetry methods to partial differential equations
- The twisted photon associated to hyper-Hermitian four-manifolds
- A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions
- On the Hamiltonian formalism for Korteweg-de Vries type hierarchies
- New integrable (\(3+1\))-dimensional systems and contact geometry
- Control theory from the geometric viewpoint.
- Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
- Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation.
- Recursion operators and bi-Hamiltonian structure of the general heavenly equation
- A recursion operator for the universal hierarchy equation via Cartan's method of equivalence
- A hierarchy of integrable partial differential equations in \(2+1\) dimensions associated with one-parameter families of one-dimensional vector fields
- Dispersionless integrable systems in 3D and Einstein-Weyl geometry
- Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation
- Hydrodynamic reductions and solutions of a universal hierarchy
- General heavenly equation governs anti-self-dual gravity
- Partner symmetries and non-invariant solutions of four-dimensional heavenly equations
- Recursion operators for dispersionless integrable systems in any dimension
- Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers
- Hamiltonian Structures for General PDEs
- Self-dual gravity is completely integrable
- On the solutions of the second heavenly and Pavlov equations
- Infinite hierarchies of nonlocal symmetries of the Chen–Kontsevich–Schwarz type for the oriented associativity equations
- Towards classification of -dimensional integrable equations. Integrability conditions I
- Evolution equations possessing infinitely many symmetries
- Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras
- Recursion operators and non-local symmetries
- Recursion operator for the stationary Nizhnik Veselov Novikov equation
- Partner symmetries of the complex Monge–Amp re equation yield hyper-K hler metrics without continuous symmetries
- Hypercomplex integrable systems
- Integrable hydrodynamic chains
- Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability
- Toda systems and exponents of simple Lie groups
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A simple construction of recursion operators for multidimensional dispersionless integrable systems