sigma05-027. 234KB Jun 04 2011 12:09:47 AM
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(Ordinary differential equations constitute a special case; we will mention those later.) We define the partial derivatives of the dependent variables as new variables (prolongation)
From its admitted symmetries or multipliers for conservation laws, one can determine whether or not a given system of differential equations can be linearized by an
The method of reduction of order was used very effectively by Nucci [ 38 ] to obtain the complete symmetry group for the Kepler Problem, the representation of which is mainly in
In this paper, using a particular example of soliton potentials, we show that the method of SUSY QM is very helpful for finding exact propagators for Hamiltonians related by SUSY
In this light, the aim of the present paper looks natural — to construct an algebraic relation corresponding to a move 3 → 3 on a triangulation of a 4-manifold, and based on
[15] Atoyan A., Patera J., Continuous extension of the discrete cosine transform, and its applications to data processing, Proceedings of the Workshop on Group Theory and
The fermion- antifermion operators generate a unitary Lie algebra, whose representations are fixed by a first order Casimir operator (corresponding to baryon number or
Abstract. We study an integrable case of n -particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a B¨acklund transformation
