sigma06-046. 298KB Jun 04 2011 12:09:51 AM
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We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class
It thus follows that the ‘Drinfeld polynomial of a regular Bethe state’ corresponds to the standard Drinfeld polynomial defined for the irreducible representation generated by
It has been shown that the proposed approach generalizes the Fourier series in Hilbert space (Section 5.2.5 ), the Wiener filter, the Karhunen–Lo`eve transform (KLT) and the
The method of approximate conditional symmetries for partial differential equations with a small parameter was suggested by Mahomed and Qu [ 8 ] (point symmetries), Kara, Mahomed and
For a description of transitive and indecomposable systems of two subspaces of a Hilbert space, as well as for transitive and indecomposable triples of a finite dimensional
Using the constructed algebras we have obtained new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.. Further, more
[16] Atoyan A., Patera J., Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization, J. [21] Humphreys J., Introduction to
Souriau’s construction applied to the two-parameter central extension of the planar Galilei group leads to the “exotic” particle, which has non-commuting position coordinates.. A