sigma06-050. 235KB Jun 04 2011 12:09:52 AM
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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
As a result of application of the criterion of the non-integrability, based on presence of the internal mode in a soliton spectrum, it is shown that the regularized dispersive
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
The choice of plus sign leads to an integrable equation which supports compactons, whereas the minus sign is the water wave model derived by Camassa–Holm, whose solitary wave
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
Here, we show that in an appropriate phase space representation one may remove the quantum potential from the dynamical equation of a particle in the linear and the harmonic
The first satisfactory explanation of the integrability of these models was given by Olshanetsky and Perelomov [ 26 ], who connected these models with the radial Laplacian of
Using a homomorphism associated with the quantum Sylvester theorem, we provide an ex- plicit construction of the skew representations of the quantum affine algebra U q ( gl b n )..
