DOI10.1007/BF01405491zbMath0534.58005OpenAlexW2038946909WikidataQ57073767 ScholiaQ57073767MaRDI QIDQ790491
Alexandre M. Vinogradov
Publication date: 1984
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01405491
From symmetries of partial differential equations towards secondary (``quantized) calculus ⋮ Exact solutions using symmetry methods and conservation laws for the viscous flow through expanding-contracting channels ⋮ Some variations on the notion of connection ⋮ On the geometrical structure of Euler-Lagrange equations ⋮ A recursion formula for the construction of local conservation laws of differential equations ⋮ On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models ⋮ A method for computing symmetries and conservation laws of integro-differential equations ⋮ On the \({\mathcal C}\)-spectral sequence for systems of evolution equations ⋮ Lie algebra symmetry analysis of the Helfrich and Willmore surface shape equations ⋮ Differential geometric computations and computer algebra ⋮ Conservation laws for one-layer shallow water wave systems ⋮ Conservation laws and nonlocal symmetries ⋮ On symmetries, conservation laws, and variational problems for partial differential equations ⋮ Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. I: The notion of a gauge-invariant variable ⋮ On some constructions in the nonlocal theory of partial differential equations ⋮ Symmetry-invariant conservation laws of partial differential equations ⋮ Monge-Ampère equations on (para-)Kähler manifolds: from characteristic subspaces to special Lagrangian submanifolds ⋮ Symmetries and conservation laws of 2-dimensional ideal plasticity ⋮ A remark on nonlinear accessibility conditions and infinite prolongations. ⋮ Conservation Laws of a Family of Reaction-Diffusion-Convection Equations ⋮ Vinogradov’s cohomological geometry of partial differential equations ⋮ Frölicher structures, diffieties, and a formal KP hierarchy ⋮ Extended symmetry analysis of generalized Burgers equations ⋮ Sub-symmetries and conservation laws ⋮ A Geometric Framework to Compare PDEs and Classical Field Theories ⋮ Some weak self-adjoint Hamilton-Jacobi-Bellman equations arising in financial mathematics ⋮ Five-dimensional Lax-integrable equation, its reductions and recursion operator ⋮ A Kadomtsev-Petviashvili hierarchy driven by equation manifolds ⋮ Efficiently implementing two methods of the geometrical theory of differential equations: An experience in algorithm and software design ⋮ Software to compute infinitesimal symmetries of exterior differential systems, with applications ⋮ A recursion operator for the universal hierarchy equation via Cartan's method of equivalence ⋮ BREAKING OF LINEAR SYMMETRIES AND MICHEL'S THEORY: GRASSMANN MANIFOLDS, AND INVARIANT SUBSPACES ⋮ An infinite set of conservation laws for infinite symmetries ⋮ Nonlinear self-adjoint classification of a Burgers-KdV family of equations ⋮ Inverse problem on conservation laws ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations ⋮ Noether-type symmetries and conservation laws via partial Lagrangians ⋮ Symmetries for the super modified KdV equation ⋮ Alexandre Mikhailovich Vinogradov ⋮ Extended symmetry analysis of two-dimensional degenerate Burgers equation ⋮ Symmetries, conservation laws and multipliers via partial Lagrangians and Noether's theorem for classically non-variational problems ⋮ Hierarchy of conservation laws of diffusion-convection equations ⋮ Conservation laws for a variable coefficient nonlinear diffusion-convection-reaction equation ⋮ Exterior differential systems with symmetry ⋮ Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena ⋮ Lie–Bäcklund transformations for the massive Thirring model ⋮ Generalised symmetries of partial differential equations via complex transformations ⋮ Conservation laws of evolution systems ⋮ Some generalized isospectral-nonisospectral integrable hierarchies ⋮ Symmetries and conservation laws of partial differential equations: Basic notions and results ⋮ Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations ⋮ Symmetries and conservation laws of Kadomtsev-Pogutse equations (Their computation and first applications) ⋮ Some remarks on static-feedback linearization for time-varying systems ⋮ The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries ⋮ The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators ⋮ Conditional symmetry of a porous medium equation ⋮ Unnamed Item ⋮ Homological method of computing invariants of systems of differential equations ⋮ Symmetries and conservation laws of Navier-Stokes equations ⋮ Symmetries, invariant solutions and conservation laws of the nonlinear acoustics equation ⋮ The structure of higher symmetries of nonlinear evolution equations ⋮ Conservation laws of three-dimensional perfect plasticity equations under von Mises yield criterion ⋮ Infinite conservation laws for differential systems ⋮ A group theoretic analysis of the generalised Gardner equation with arbitrary order nonlinear terms ⋮ Conservation laws for the Black-Scholes equation ⋮ Unnamed Item ⋮ The Riemann–Lanczos equations in general relativity and their integrability ⋮ Enhanced symmetry analysis of two-dimensional Burgers system ⋮ Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws' ⋮ Some Conservation Laws for a Class of Hamilton-Jacobi-Bellman Equations ⋮ On the structure of integrable \({\mathcal C}\)-fields ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's ⋮ A conservation law for a generalized chemical Fisher equation ⋮ An equation unifying both Camassa-Holm and Novikov equations
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