scientific article

zbMath0452.58001MaRDI QIDQ3899205

Dominic G. B. Edelen

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

differential formscontact structureStokes' theoremBäcklund transformationsvector fieldsLie derivativeFrobenius theoremstructure equationsexterior calculustangent spacecontact formspseudopotentialsproper idealsautonomous first order differential equationstheorem of Darboux(constrained) variational problems1- dimensional nonlinear diffusion equationantiexact formsbalance formscharacteristics for linear and quasilinear first order PDEscomplete integrability of a system of 1- formsDarboux classesgeometrization of balance systemsisovector of an idealLie subalgebras of vectorfields in n-spacelinear homotopy operatorsprolongation of non-variational balance systems to variational onesproper isovectorsshallow water waves equationsystems of laws of balance

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Pfaffian systems (58A17) Diffusion processes (60J60) Infinite-dimensional Lie (super)algebras (17B65) Diffusion processes and stochastic analysis on manifolds (58J65) Exterior differential systems (Cartan theory) (58A15) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Vector distributions (subbundles of the tangent bundles) (58A30) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Calculus on manifolds; nonlinear operators (58Cxx) Software, source code, etc. for problems pertaining to global analysis (58-04)

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