Symmetries of distributions and quadrature of ordinary differential equations
From MaRDI portal
Publication:1181252
zbMath0739.34001MaRDI QIDQ1181252
Valentin V. Lychagin, Sergei Duzhin
Publication date: 27 June 1992
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
jetsprolongationsgeometrical expositionLie's theory of explicit integration by quadraturessolvable symmetry group
Explicit solutions, first integrals of ordinary differential equations (34A05) Foliations (differential geometric aspects) (53C12) Solvable, nilpotent (super)algebras (17B30) Solutions to PDEs in closed form (35C05) Vector distributions (subbundles of the tangent bundles) (58A30)
Related Items
Attractors in models of porous media flow ⋮ Symmetries and Integrals ⋮ Finite Dimensional Dynamics of Evolutionary Equations with Maple ⋮ Finite-dimensional dynamics for evolutionary equations ⋮ Involution and symmetry reductions ⋮ Variational problems with symmetries: a Pfaffian system approach ⋮ Finite-dimensional dynamics in nonlinear heat transfer ⋮ Generalized Solvable Structures Associated to Symmetry Algebras Isomorphic to $$\mathfrak {gl}(2,\mathbb {R}) \ltimes \mathbb {R}$$ ⋮ Revisiting Kepler: new symmetries of an old problem ⋮ Evolutionary systems and flows on solutions spaces of finite type equations ⋮ Divergence-free vectorfields and integration via quadratures ⋮ Dynamics of evolutionary PDE systems ⋮ Integrability structures of the generalized Hunter-Saxton equation ⋮ Reduction of variational Pfaffian systems for quasi-invariant Lagrangians ⋮ Obituary: Sergei Duzhin (June 17, 1956 -- February 1, 2015) ⋮ Exact solutions of the Burgers-Huxley equation via dynamics ⋮ Remembrance: “Sergei Duzhin (June 17, 1956–February 1, 2015)” ⋮ New symmetry solution techniques for first-order nonlinear PDEs. ⋮ \( \mathscr{C}^\infty \)-symmetries of distributions and integrability
