sigma06-093. 296KB Jun 04 2011 12:09:56 AM
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The operator gauge invariant Maxwell’s equations and corresponding charge conservation are obtained by defining the generalized derivatives of the f irst and
For the generalized DS equations, we showed that the KMV symmetry algebra can be present only if the conditions ( 21 ), under which the symmetry algebra is isomorphic to that of
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
We have found that the profiles of the vortex filaments show quite different behaviour, but for the local stretch, both of the two equations give the same results in such a way that
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
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
Our construction of new EK type hierarchies of integrable equations with higher and higher nonlinearities, extending the NLSE and the DNLSE demonstrates clearly that suitable
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
