Geometrical Study of Differential Equations.
Leslie, Joshua A.
Geometrical Study of Differential Equations. - 1st ed. - 1 online resource (226 pages) - Contemporary Mathematics ; v.285 . - Contemporary Mathematics .
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.
9780821878750
Differential equations -- Congresses.
Geometry, Differential -- Congresses.
Electronic books.
QA374 -- .N75 2000eb
515/.35
Geometrical Study of Differential Equations. - 1st ed. - 1 online resource (226 pages) - Contemporary Mathematics ; v.285 . - Contemporary Mathematics .
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.
9780821878750
Differential equations -- Congresses.
Geometry, Differential -- Congresses.
Electronic books.
QA374 -- .N75 2000eb
515/.35