A (p, q)-analog of two-dimensional conformally invariant field theory based on
the quantum algebra Upq(su(1, 1)) is proposed. The representation of the algebra
Upq(su(1, 1)) on the space of quasi-primary fields is given. The (p, q)-deformed Ward
identities of conformal field theory are defined. The...
Consider a -algebra A generated by self-adjoint elements a1, . . . , an (aj = a
j , j = 1, . . . , n) and the relations
Pk(a1, . . . , an) = 0 (k = 1, . . . , m). (1)
Here Pk(·) are polynomials in the non-commuting variables a1, . . . , an over C such that
k (·) = Pk(·). In other words, A is a...
In this paper we discuss a theoretical model for both the free-surface and interfacial
profiles of progressive nonlinear waves which result from introducing an obstacle of
finite height, in the form of a ramp of gentle slope, attached to the bottom below the
flow of a stratified, ideal, two-layer...
We ssuggest an effective method for reducing Yang-Mills equations to systems of ordinary differential equations. With the use of this method, we construct wide families
of new exact solutions of the Yang-Mills equations. Analysis of the solutions obtained
shows that they correspond to conditional symmetry...
A simple method for calculating finite-gap elliptic potentials and corresponding spectra of the one-dimensional Schrödinger operator which is based on a general representation of the potentials in a form of rational functions of the Weierstrass function
and trace formulae is proposed. It is shown that...