sigma11-048. 424KB Jun 04 2011 12:10:52 AM
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transformation is not only a time discretization of a one parameter family of continuous flows equipped with the same integrals of motion ( 1.3 ), ( 2.7 ), but it has also the
In Section 3 we obtain the main result of this paper: the explicit construction of the spectrum of M for the values ( 5 ) and the construction of its eigenvectors in terms of the
For cases where numerical analysis is required, it is also relatively straightforward to construct graphs of the phase-space curves using the series solutions, augmented by
Using Legendre transformation in three variables, including the remaining group parameter, we arrived at linear partial differential equations with constant coefficients which
In the problems we consider, which are also those problems considered previously in the work of Sakai [ 14 ], Murata [ 17 ] and Yamada [ 31 ], the characteristic data defines a
These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.. Key words: Casoratian;
By considering the fact that several of the translations on the lattice of connection preserving deformations present equivalent evolution equations, we recover an automorphism
This choice leads to four solvable models described by the oscillator-like equation ( 29 ) with some matrices D. Here we consider the massless case only. Model Ia) is equivalent to
