This quantity includes papers in line with a number of the talks given on the NSF-CBMS convention on 'The Geometrical learn of Differential Equations' held at Howard collage (Washington, DC). The amassed papers current vital fresh advancements during this quarter, together with the remedy of nontransversal team activities within the conception of team invariant strategies of PDEs, a mode for acquiring discrete symmetries of differential equations, the institution of a group-invariant model of the variational complicated in line with a normal relocating body building, the advent of a brand new variational advanced for the calculus of distinction equations and an unique structural research of Lie-Backlund transformations.The booklet opens with a contemporary and illuminating assessment of Lie's line-sphere correspondence and concludes with a number of fascinating open difficulties coming up from symmetry research of PDEs. It bargains a wealthy resource of notion for brand new or proven researchers within the box. This e-book can serve properly as a significant other quantity to ""Selected themes within the Geometrical examine of Differential Equations"", via Niky Kamran, within the ""AMS"" sequence, ""CBMS nearby convention sequence in Mathematics"".
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