TY - BOOK AU - Leslie,Joshua A. AU - Robart,Thierry P. TI - Geometrical Study of Differential Equations T2 - Contemporary Mathematics SN - 9780821878750 AV - QA374 -- .N75 2000eb U1 - 515/.35 PY - 2001/// CY - Providence PB - American Mathematical Society KW - Differential equations -- Congresses KW - Geometry, Differential -- Congresses KW - Electronic books N1 - Intro -- Contents -- Foreword -- Summary of the principal lectures -- An overview of Lie's line-sphere correspondence -- Application of Lie group analysis to a mathematical model which describes HIV transmission -- Geometry and PDE on the Heisenberg group: a case study -- Invariant evolutions of curves and surfaces and completely integrable Hamiltonian systems -- On the fixed points of the Toda hierarchy -- Group invariant solutions in mathematical physics and differential geometry -- Discrete symmetries of differential equations -- Integrable geometric evolution equations for curves -- On integrability of evolution equations and representation theory -- Symmetry groups, nonlinear partial differential equations, and generalized functions -- Lie symmetries of differential-difference equations -- On a variational complex for difference equations -- The invariant variational bicomplex -- On geometrically integrable equations and hierarchies of pseudo-spherical type -- Inductive construction of moving frames -- Orbit reduction of contact ideals and group-invariant variational problems -- About the local and formal geometry of PDE -- Open problems in symmetry analysis UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112885 ER -