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We obtain via B¨acklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra
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
This review is organised as follows. In the Section 2 we give the general algebraic setting for this approach. In the Section 3 several comments are made on the foundation of this
And in the situation when the direct algebraic balance method, based on the representing solution we are looking for in the form of finite combination of the given functions fails,
We study multivariable Christoffel–Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation func- tions for
Although the string theory has made a significant progress on this problem [ 1 ], the string theory approach is essentially a perturbation theory around the flat spacetime, which
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
In this formulation, we regard the coalgebra structures of the vertex and the face type elliptic al- gebras as two different quasi-Hopf deformation of the corresponding affine
