Five books are reviewed, namely
Bruce C Berndt: Ramanujan's Notebooks. Part I. (With a foreword by S Chadrasekhar). Springer-Verlag, New York Berlin, 1985. 357 pages.
--: Ramanujan's Notebooks. Part II. Springer-Verlag, New York Berlin, 1989. 359 pages.
--: Ramanujan's Notebooks. Part III. Springer-Verlag,...
Three books are reviewed, namely
Masao Nagasawa: Schroedinger Equations and Diffusion Theory. Birkhaeuser, Basel
Boston Berlin, 1993. 332 pages.
David Wick (with a mathematical appendix by William Farris): The Infamous Bounary - Seven Decades of Controversy in Quantum Physics. Birkhaeuser. Boston...
Following V. Drinfeld and G. Olshansky, we construct Manin triples (g, a, a
that g is different from Drinfeld's doubles of a for several series of Lie superalgebras a
which have no even invariant bilinear form (periplectic, Poisson and contact) and for
a remarkable exception. Straightforward...
Some types of first integrals for Hamiltonian Nambu-Poisson vector fields are obtained
by using the notions of pseudosymmetries. In this theory, the homogeneous Hamiltnian vector fields play a special role and we point out this fact. The differential system
which describe the SU(2)-monopoles is given...
The Navier-Stokes equation driven by heat conduction is studied. As a prototype
we consider Rayleigh-Bénard convection, in the Boussinesq approximation. Under
a large aspect ratio assumption, which is the case in Rayleigh-Bénard experiments
with Prandtl number close to one, we prove the existence...
In this paper, we establish the connection between the quantized W-algebra of sl(2, 1)
and quantum parafermions of Uq(^sl(2)) that a shifted product of the two quantum
parafermions of Uq(^sl(2)) generates the quantized W-algebra of sl(2, 1).
Reductions for systems of ODEs integrable via the standard factorization method (the
Adler-Kostant-Symes scheme) or the generalized factorization method, developed by
the authors earlier, are considered. Relationships between such reductions, operator
Yang-Baxter equations, and some kinds of non-associative...
We consider the class of autonomous systems x = f(x), where x R2n
, f C1
whose phase portrait is a Cartesian product of n two-dimensional centres. We also
consider perturbations of this system, namely x = f(x) + g(t, x), where g C1
) and g is asymptotically small, that is g...
A review of a new separability theory based on degenerated Poisson pencils and the scalled separation curves is presented. This theory can be considered as an alternative
to the Sklyanin theory based on Lax representations and the so-called spectral curves.