Pages: 2 - 26
We investigate the symmetry properties of hierarchies of non-linear Schrödinger equations, introduced in , which describe non-interacting systems in which tensor product wave-functions evolve by independent evolution of the factors (the separation
property). We show that there are obstructions to...
Pages: 27 - 45
We define a Hopf C
-algebra associated with an action of the quantum group SUq(1, 1)
on a two-parameter quantum deformation of the unit disc, which has a left comodule
structure over this Hopf C
Mathematics Subject Classification (1991). 81C05.
Pages: 46 - 50
It is shown that the group of geometrical symmetries of the Universal equation of
D-dimensional space coincides with SL(D + 1, R).
Pages: 73 - 89
The subalgebras of the invariance algebra of equation 2u+(u2
Pages: 90 - 93
Operators of nonlocal symmetry are used to construct exact solutions of nonlinear
A method for finding of new classes of ansatzes reducing nonlinear wave equations to a
systems of ordinary differential equations was suggested in . This approach is based on
nonlocal symmetry of...