scientific article
From MaRDI portal
Publication:3721001
zbMath0592.35002MaRDI QIDQ3721001
I. S. Krasil'shchik, Valentin V. Lychagin, Alexandre M. Vinogradov
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
singularitiesnonlinear differential equationsjet spacesSpencer cohomologyLie-Bäcklund transformations
Jets in global analysis (58A20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Group structures and generalizations on infinite-dimensional manifolds (58B25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
Related Items
On exact deformations of Poisson modules ⋮ Poisson structures associated with algebras of differential operators ⋮ Pseudosymmetries and differential substitutions ⋮ Recursion and group structures of soliton equations ⋮ Symmetries and conservation laws of difference equations ⋮ Symmetry of affine systems. ⋮ (Anti-)self-dual Einsteinian metrics of zero signature, their Petrov classes and connection with Kähler and para-Kähler structures ⋮ On the equivalence of first-order Abel equations with coefficients depending on the control parameter ⋮ Topological indices of Spencer complexes associated with geometric structures ⋮ Orbital decompositions of control systems and multivector fields ⋮ Nonlocal symmetries. Heuristic approach ⋮ \(\mathcal C\)-spectral sequence of evolution equations ⋮ On differential invariants and classification of ordinary differential equations of the form \(y = A(x, y)y' + B(x, y)\) ⋮ Algebraic and geometric structures of analytic partial differential equations ⋮ On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms ⋮ Local reduction theorems and invariants for singular contact structures. ⋮ Symmetry algebras of linear differential equations ⋮ The Lie group in infinite dimension ⋮ Cartan projective connection spaces and group-theoretic analysis of systems of second-order ordinary differential equations ⋮ Systems of generators for ideals of algebra of convergent differential series ⋮ One-dimensional Fokker-Planck equation with quadratically nonlinear quasilocal drift ⋮ Differential invariants of webs on two-dimensional manifolds ⋮ Representing invertible linear differential operators as the composition of triangular ones ⋮ Nijenhuis tensors and obstructions to constructing pseudoholomorphic mappings ⋮ On straightening the characteristics of a quasilinear second-order equation ⋮ On symmetries of KdV-like evolution equations. ⋮ A multidimensional superposition principle: classical solitons. I ⋮ Point transformations and linearizability of second order ordinary differential equations ⋮ Conservation laws, differential identities, and constraints of partial differential equations ⋮ Analysis and synthesis of generalized invertible differential operators with one independent variable