sigma06-057. 294KB Jun 04 2011 12:09:52 AM
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We present the trigonometric Lax matrix and classical r -matrix for the Kowa- levski gyrostat on so (4) algebra by using the auxiliary matrix algebras so (3 , 2) or sp (4).. Key
In this contribution we applied the iterative procedure of obtaining the eigenvectors for quantum integrable systems by Kharchev and Lebedev [ 7 ] (which has origin in [ 8 ]
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
• at the second perturbative order (hence, with a high degree of accuracy), the dynamics of the system is given, up to a ‘dynamical dressing’, by the dynamics associated with
Key words: partial differential equations; conservative difference schemes; difference al- gebra; linear difference ideal; Gr¨ obner basis; Janet-like basis; computer algebra;
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
In this paper we have presented higher-dimensional gKdV and modified gKdV equations (10) and (17), which are integrable in the sense of the Painlev´e test.. And also N
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
