Geometrical Study of Differential Equations.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.