zbMath0722.35001MaRDI QIDQ3998623
I. S. Krasil'shchik, Valentin V. Lychagin, Alexandre M. Vinogradov
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Symmetries and Integrals ⋮
Finite Dimensional Dynamics of Evolutionary Equations with Maple ⋮
Critical Phenomena in Darcy and Euler Flows of Real Gases ⋮
A classification of Monge-Ampère equations ⋮
Exotic n-D’Alembert PDEs and Stability ⋮
A general method to construct invariant PDEs on homogeneous manifolds ⋮
The Maslov Index in PDEs Geometry ⋮
Jacobi's bound for a diffiety defined by a quasi-regular system ⋮
Integrable partial differential equations and Lie-Rinehart algebras ⋮
Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles ⋮
New Dubrovin-type integrability theory applications of differential rings ⋮
Vinogradov’s cohomological geometry of partial differential equations ⋮
Coverings and pseudosymmetries of differential equations ⋮
Minimal coupling of gravitational and electromagnetic fields in General Relativity ⋮
Measurement of random operators, jet geometry and high-order phase transitions ⋮
An algebraic geometric foundation for a classification of second-order superintegrable systems in arbitrary dimension ⋮
On natural invariants and equivalence of differential operators ⋮
Notes on the \(L_\infty\)-approach to local gauge field theories ⋮
Finite-dimensional dynamics in nonlinear heat transfer ⋮
Differential Invariants in Algebra ⋮
Quasi-linearization and stability analysis of some self-dual, dark equations and a new dynamical system † ⋮
Existence and uniqueness of a weak solution of an integro-differential aggregation equation on a Riemannian manifold ⋮
Language of infinite jets in nonlinear control ⋮
Quotient and solutions of the one-dimensional Navier-Stokes system ⋮
On solutions of the Fokker-Planck equations ⋮
Evolutionary systems and flows on solutions spaces of finite type equations ⋮
Unnamed Item ⋮
Order of Tangency Between Manifolds ⋮
Alexandre Mikhailovich Vinogradov ⋮
A remark on Goldschmidt's theorem on formal integrability ⋮
Geometry of Lagrangian Grassmannians and nonlinear PDEs ⋮
Nonlocal symmetries of Plebański’s second heavenly equation ⋮
Multi-brackets of differential operators and compatibility of PDE systems ⋮
The symmetry reduction of variational integrals ⋮
(Co)bordism groups in quantum super PDEs. II: Quantum super PDEs ⋮
Differential invariants of generic hyperbolic Monge-Ampère equations ⋮
Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems ⋮
Integrability properties of some equations obtained by symmetry reductions ⋮
Some Canonical Structures of Cartan Planes in Jet Spaces and Applications ⋮
Crochet de Jacobi non local sur un revêtement et ses applications à l'étude de l'équation de Burgers ⋮
Unnamed Item ⋮
Involutivity of field equations ⋮
Reducing real almost-linear second-order partial differential operators in two independent variables to a canonical form ⋮
Rigid symmetries and conservation laws in non-Lagrangian field theory ⋮
Partial differential equations with differential constraints ⋮
Compatibility equations for isometric embeddings of Riemannian manifolds ⋮
On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries ⋮
A natural geometric construction underlying a class of Lax pairs ⋮
Geometric structures on solutions of equations of adiabatic gas motion ⋮
From symmetries of partial differential equations towards secondary (``quantized) calculus ⋮ Eikonal type equations for geometrical singularities of solutions in field theory ⋮ On the structure of Hamiltonian operators in field theory ⋮ Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism ⋮ Classification of the second order linear differential operators and differential equations ⋮ Differential invariants for spherical layer flows of viscid fluids ⋮ On the extended crystal PDE's stability. I: The \(n\)-d'Alembert extended crystal PDE's ⋮ On the extended crystal PDE's stability. II: Entropy-regular-solutions in MHD-PDE's ⋮ Differential invariants of Einstein-Weyl structures in 3D ⋮ Classification of 3rd order linear ODE up to equivalence ⋮ The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane ⋮ Control of displacement front in a model of immiscible two-phase flow in porous media ⋮ Symmetries of a flat cosymbol algebra of differential operators ⋮ Möbius invariants in image recognition ⋮ Lagrangian formalism over graded algebras ⋮ Classification of equations of state for viscous fluids ⋮ Veronese webs and nonlinear PDEs ⋮ Localization of differential operators and of higher order de Rham complexes ⋮ Generalized Lie-Bäcklund theorem for Lie class overdetermined systems ⋮ Invariants of velocities and higher-order Grassmann bundles ⋮ Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations ⋮ On the Vinogradov \({\mathcal C}\)-spectral sequence for determined systems of differential equations ⋮ Quantum extended crystal super PDEs ⋮ Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields ⋮ A remark on nonlinear accessibility conditions and infinite prolongations. ⋮ Mayer brackets and solvability of PDEs. I ⋮ The geometry of differential constraints for a class of evolution PDEs ⋮ Five-dimensional Lax-integrable equation, its reductions and recursion operator ⋮ Differential invariants and symmetry: Riemannian metrics and beyond ⋮ On higher order analogues of de Rham cohomology. ⋮ Finite-dimensionality in Tanaka theory ⋮ Symmetries of PDE systems and correspondences between jet spaces ⋮ Geometry of jet spaces and integrable systems ⋮ On symplectic classification of effective 3-forms and Monge-Ampère equations. ⋮ Rank 2 distributions of Monge equations: symmetries, equivalences, extensions ⋮ Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation ⋮ A recursion operator for the universal hierarchy equation via Cartan's method of equivalence ⋮ The general prolongation formulae for nonlocal symmetries ⋮ The symmetry group of the ILW equation and a novel reduction. ⋮ Automorphisms of ordinary differential equations ⋮ PDE admitting Lagrangian solutions with nontrivial homotopy invariants (\(\pi\)-degree, polarization index, Maslov period) ⋮ Dynamics of evolutionary PDE systems ⋮ Geometric study of gas behavior in a one-dimensional nozzle (the case of the van der Waals gas) ⋮ Invariants of forth order linear differential operators ⋮ Integrability in differential coverings ⋮ Invariant characterization of Liouville metrics and polynomial integrals ⋮ Solvable structures for evolution PDEs admitting differential constraints ⋮ Differential invariants for spherical flows of a viscid fluid ⋮ The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs ⋮ Integration of quadratic Lie algebroids to Riemannian Cartan-Lie groupoids ⋮ Invertible linear ordinary differential operators
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