منابع مشابه
Integrable deformations of a polygon
The new integrable mapping with a simple geometric interpretation is presented. This mapping arise from the nonlinear superposition principle for the Bäcklund transformations of some vector evolution equation. 1 Recuttings of the polygon Let us consider a set of points vj ∈ R , j ∈ ZN , N ≥ 3 and define the transformation Rk as reflection of the point vk about the normal hyperplane passing thro...
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A group of volume-preserving diffeomorphisms in 3D turns out to play a key role in an Einstein-Maxwell theory whose Weyl tensor is selfdual and whose Maxwell tensor has algebraically general anti-selfdual part. This model was first introduced by Flaherty and recently studied by Park as an integrable deformation of selfdual gravity. A twisted volume form on the corresponding twistor space is sho...
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We analyze in detail three classes of isomondromy deformation problems associated with integrable systems. The first two are related to the scaling invariance of the n× n AKNS hierarchies and the Gel’fand-Dikii hierarchies. The third arises in string theory as the representation of the Heisenberg group by [(L)+, L] = I where L is an nth order scalar differential operator. The monodromy data is ...
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A proposal for constructing a universal nonlinear Ŵ∞ algebra is made as the symmetry algebra of a rotational Killing-symmetry reduction of the nonlinear perturbations of Moyal-Integrable deformations of D = 4 Self Dual Gravity (IDSDG). This is attained upon the construction of a nonlinear bracket based on nonlinear gauge theories associated with infinite dimensional Lie algebras. A Quantization...
متن کاملRegular deformations of completely integrable systems
We study several aspects of the regular deformations of completely integrable systems. Namely, we prove the existence of a Hamiltonian normal form for these deformations and we show the necessary and sufficient conditions a perturbation has to satisfy in order for the perturbed Hamiltonian to be a first order deformation.
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 1995
ISSN: 0167-2789
DOI: 10.1016/0167-2789(95)00124-m