Titlebook: Algebraic Aspects of Integrable Systems; In Memory of Irene D A. S. Fokas,I. M. Gelfand Book 1997 Birkhäuser Boston 1997 algebra.differenti

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Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0, of the Volterra system is preserved exactly. Since in the space-continuous limit the Volterra system turns into the basic nonlinear infinite-dimensional dynamical system .. + .. = 0, the Volterra conservation laws are discretizations of the conservation laws (../.). + [(../(.+1)] . = 0, . ∈ ..

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Mullikottu-Veettil Mukundan,Mark Brayphic behaviour. In the simplest case, this correspondence is as follows. Let Γ be a discrete subgroup of ..(ℝ) acting on the complex upper half-plane . in the usual way, and . a modular form of even weight . on Γ. Then there is a unique lifting from . to a Γ-invariant ΨDO with leading term .∂., wher