Yazar "Athorne, Chris" seçeneğine göre listele

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    Invariants of hyperbolic partial differential operators
    (Institute of Physics Publishing, 2016) Athorne, Chris; Yılmaz, Halis
    We present a construction of a large class of Laplace invariants for linear hyperbolic partial differential operators of fairly general form and arbitrary order.
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    Laplace invariants for general hyperbolic systems
    (2012) Athorne, Chris; Yılmaz, Halis
    We consider the generalization of Laplace invariants to linear differential systems of arbitrary rank and dimension. We discuss completeness of certain subsets of invariants.
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    Twisted Laplace maps
    (IOP Publishing, 2019) Athorne, Chris; Yılmaz, Halis
    We consider general Darboux maps arising from intertwining relations on second order, linear partial differential operators, as deformations of the classical, Laplace case. We present Lax pairs for the corresponding relations on invariants and discuss the conditions for a lattice structure analogous to 2D Toda theory.