Volume 14, Issue 4, December 2007
Pages: 494 - 526
We study the 'q-> infinite' limit of the q-deformation of the WZW model on a compact
simple and simply connected target Lie group. We show that the commutation rela-
tions of the 'q -> infinite' current algebra are underlied by certain affine Poisson structure on
the group of holomorphic maps from...
Pages: 527 - 533
In this paper we use the Painlev Ìe analysis and study a special case of a water wave
equation of the KdV type. More specifically, we use the Pickering algorithm  and
obtain a new kind of solutions, which constitute of both algebraic and trigonometric
(or hyperbolic) functions.
Pages: 534 - 547
In this work we investigate a formal mapping between the dynamical properties of
the unidimensional relativistic oscillator and the asymmetrical rigid top at a clas-
sical level. We study the relativistic oscillator within Yamaleevâ€™s interpretation of
Nambu mechanics. Such interpretation is based...
Pages: 548 - 569
Deformations of the 3-differential of 3-differential graded algebras are controlled by
the (3, N ) Maurer-Cartan equation. We find explicit formulae for the coefficients
appearing in that equation, introduce new geometric examples of N -differential graded
algebras, and use these results to study...
Pages: 570 - 577
We consider gauge fields associated with a semisimple Malcev algebra. We construct
a gauge-invariant Lagrangian and found a solution of modified Yang-Mills equations
in seven dimensions.
Pages: 578 - 588
Some spherical solutions of the ideal magnetohydrodynamic (MHD) equations are
obtained from the method of the weak transversality method (WTM), which is based
on Lie group theory. This analytical method makes use of the symmetry group of the
MHD system in situations where the â€œclassicalâ€ Lie...
Pages: 589 - 611
Nonlocal symmetries for exactly integrable three-field evolutionary systems have been com-
puted. Differentiation the nonlocal symmetries with respect to x gives a few hyperbolic
systems for each evolution system. Zero curvature representations for all nonlocal systems
and for some of the hyperbolic...
Pages: 612 - 636
We discuss a new technique to -modify real Hamiltonians so that they become
isochronous while remaining real. Although the Ï‰-modified Hamiltonians thereby
obtained often yield, in the classical context, singular motions, we exhibit and inves-
tigate simple examples when this does not (quite) happen....