Journal of Nonlinear Mathematical Physics
Volume 2, Issue 1, February 1995
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...
2. A Hopf C-algebra associated with an action of SUq(1,1) on a two-parameter quantum deformation of the unit disc
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 -algebra. Mathematics Subject Classification (1991). 81C05.
V. Derjagin, A. Leznov
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).
Victor Lahno, Renat Zhdanov, Wilhelm Fushchych
Pages: 51 - 72
L.F. Barannyk, H.O. Lahno
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 heat equations. 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 differential...