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

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,Multiscale Expansions, Symmetries and the Nonlinear Schr?dinger Hierarchy,ons, using a multitime expansion. In the case of pure radiation, we show that the asymptotic character of this expansion is guaranted by requiring that the modulation of the leading amplitude of the waves satisfy the nonlinear Schrodinger hierarchy of evolution equations with respect to the slow spa

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https://doi.org/10.1007/3-7908-1670-1oes into the continuous one in a suitable asymptotic limit, together with integrals of motion and Poisson structure, or require that Poisson structure and integrals of motion be exactly preserved by the discretisation. Stationary or restricted flow technique typically lead to discretisation of the f

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On the r-Matrix Structure of the Neumann System and its Discretizations,oes into the continuous one in a suitable asymptotic limit, together with integrals of motion and Poisson structure, or require that Poisson structure and integrals of motion be exactly preserved by the discretisation. Stationary or restricted flow technique typically lead to discretisation of the f

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A Theorem of Bochner, Revisited,d Orlov and Schulman [26]. They are intimately related to the bihamiltonian nature of the equations of the theory of solitons which was pioneered in the work of Magri [23] and Gel’fand and Dorfman [11].

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