sigma06-038. 238KB Jun 04 2011 12:09:51 AM
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We have found that the profiles of the vortex filaments show quite different behaviour, but for the local stretch, both of the two equations give the same results in such a way that
We show how single- and multispecies 1D Calogero models emerge from the matrix generalization of the single harmonic oscillator Hamiltonian [ 25 ], i.e.. we adopt a view that the
In the opposite case the condition ( 9 ) is never satisfied and all trajectories starting from the curve ( 5 ) go into the region ( 6 ), experience the point of maximal expansion
For example, the Poncelet theorem says then that the periodicity property of the John algorithm depends only on equation of the bi-quadratic curve ( 3 ) and does not depend on
Prior to passing to the basic theme of the report, we consider it necessary to give some characteristics of the double symmetry concept used by us, to list the existing
We consider a possibility to unify the methods of regularization, such as the renormalization group method, stochastic quantization etc., by the extension of the standard field
The results of qualitative analysis of Kirchhoff’s differential equations represented in the paper give evidence that the technique of investigation of mechanical systems, which
Because the restricted flows of soliton equations are just the stationary problems of SESCSs and the Lax pairs of restricted flows can always be deduced from the adjoint
