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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intrigue

Automorphic Pseudodifferential Operators,phic behaviour. In the simplest case, this correspondence is as follows. Let Γ be a discrete subgroup of ..(?) 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

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badinage

流利圓滑

SHRIK

Compatibility in Abstract Algebraic Structures,the structure given by compatibility is bound to the situation of hamiltonian dynamic systems and how much of that can be transferred to a complete abstract situation where the algebraic structures under consideration are given by bilinear maps on some module over a commutative ring. Under suitable

paragon

A Theorem of Bochner, Revisited,s names of additional, master or conformal symmetries. They were discovered by Fokas, Fuchssteiner and Oevel [9], [10], [25], Chen, Lee and Lin [4] and Orlov and Schulman [26]. They are intimately related to the bihamiltonian nature of the equations of the theory of solitons which was pioneered in t

Bouquet

Obstacles to Asymptotic Integrability,and show that the analysis of the higher order terms provides a sufficient condition for asymptotic integrability of the original equation. The nonintegrable effects, which we call “obstacles” to the integrability, are shown to result in an inelasticity in soliton interaction. The main technique use

潛移默化

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, . ∈ ..

Evolve

Trace Formulas and the Canonical 1-Form,ted by pairs QP of smooth functions of period 1, equipped with the classical 1-form QdP = ∫. [.].. The introduction of canon- ically paired coordinates .... : . ∈ ?, as in Sections 2 and 6 below, suggests the identity . = Σ....., up to an additive exact form, and this may be verified, as in Sections