منابع مشابه
On Periodic Motions of a Two Dimensional Toda Type Chain
In this paper we consider a chain of strings with fixed end points coupled with nearest neighbour interaction potential of exponential type, i.e. { φtt − φxx = exp(φ − φi)− exp(φ − φi− 1) 0 < x < π, t ∈ IR, i ∈ Z (TC) φ(0, t) = φ(π, t) = 0 ∀t, i. We consider the case of “closed chains” i.e. φ = φi∀i ∈ ZZ and some N ∈ IN and look for solutions which are peirodic in time. The existence of periodi...
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The solitons of affine Toda field theory are related to the spingeneralised Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides the sought after extension of the correspondence between the sine-Gordon solitons and the Ruijsenaars-Schneider model.
متن کاملAffine Toda-Sutherland Systems
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not completely integrable but partially integrable, or quasi exactly solvable, it inherits many remarkable properties from the parents. The equilibrium position is algebraic, i.e. proportional to the Weyl vector. The frequenci...
متن کاملFrenet Frames and Toda Systems
It is shown that the integrability conditions of the equations satisfied by the local Frenet frame associated with a holomorphic curve in a complex Grassmann manifold coincide with a special class of nonabelian Toda equations. A local moving frame of a holomorphic immersion of a Riemann surface into a complex Grassmann manifold is constructed and the corresponding connection coefficients are ca...
متن کاملMulti-dimensional Symbolic Dynamical Systems
The purpose of this note is to point out some of the phenomena which arise in the transition from classical shifts of finite type X ⊂ AZ to multi-dimensional shifts of finite type X ⊂ AZd , d ≥ 2, where A is a finite alphabet. We discuss rigidity properties of certain multi-dimensional shifts, such as the appearance of an unexpected intrinsic algebraic structure or the scarcity of isomorphisms ...
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ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 1997
ISSN: 0040-5779,1573-9333
DOI: 10.1007/bf02634159