Open AccessOn the integrability problem for systems of partial differential equations in one unknown function, II
Author(s) -
Antonio Kumpera
Publication year - 2019
Publication title -
trudy meždunarodnogo geometričeskogo centra/pracì mìžnarodnogo geometričnogo centru
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.124
H-Index - 2
eISSN - 2409-8906
pISSN - 2072-9812
DOI - 10.15673/tmgc.v12i1.1366
Subject(s) - pfaffian , equivalence (formal languages) , integrable system , mathematics , partial differential equation , dimension (graph theory) , partial derivative , separable partial differential equation , differential equation , function (biology) , mathematical analysis , pure mathematics , ordinary differential equation , differential algebraic equation , evolutionary biology , biology
We continue here our discussion of Part I, [18], by examining the local equivalence problem for partial differential equations and illustrating it with some examples, since almost any integration process or method is actually a local equivalence problem involving a suitable model. We terminate the discussion by inquiring on non-integrable Pfaffian systems and on their integral manifolds of maximal dimension.