sigma05-018. 269KB Jun 04 2011 12:09:47 AM
Teks penuh
Garis besar
Dokumen terkait
Shortly after this discovery concerning the KdV equation, it was shown by Magri [ 17 ] that the property of having two Hamiltonian representations was not a specific feature of the
It follows from the above considerations that, if the invariance algebra of equation ( 1 ) contains an operator of the form ( 7 ), then it is equivalent to equation ( 6 ) the
It is not surprising, because the equation can be integrated by the inverse scattering method or, in other words, it is S-integrable, it is well known in the case of
[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
This method, which does not use Noether’s Theorem, has been used to calculate some low-order conservation laws of various integrable difference equations that are defined on
In order to prove that all equations from the list are really integrable, we find, in Section 4, an auto-B¨ acklund transformation involving a “spectral” parameter for each of
The fermion- antifermion operators generate a unitary Lie algebra, whose representations are fixed by a first order Casimir operator (corresponding to baryon number or
Finally, the study of the partial symmetry ( 21 ) has been useful not only to obtain a reduction of the initial equations, leading also to new particular solutions, but also to
