Reports on Mathematical Physics


Contents of the Volume 46


Number 1/2 (August/October 2000):

Foreword, pp. 3-4.
XXXI Symposium on Mathematical Physics. List of Participants, pp. 5-9.
S. Akashi:
Embedding of expansive dynamical systems into symbolic dynamical systems, pp. 11-14.
V. Baladi, M. Benedicks and V. Maume-Deshamps:
Decay of random correlation functions for unimodal maps, pp. 15-26.
B.S Bardin:
Periodic solutions of nearly Lyapunov system in the external resonance case, pp. 27-34.
M. Błaszak:
Separability of two-Casimir bi- and tri-Hamiltonian chains, pp. 35-46
K. B. Blyuss:
Chaotic behaviour of nonlinear waves and solitons of perturbed Korteweg-de Vries equation, pp. 47-54.
J. Burzlaff:
Statics and dynamics of Abrikosov Vortices and of related solitions, pp. 55-61.
R. Cherniha:
Lie symmetries of nonlinear two-dimensional reaction-diffusion systems, pp. 63-76.
R. Conte and M. Musette:
Analytic expressions of hydrothermal waves, pp. 77-88.
M. L. Gandarias and M. S. Bruzón:
Symmetry analysis and solutions for a family of Cahn-Hilliard equations, pp. 89-97.
:Xing-Biao Hu and Hon-Wah Tam
Some new results of the Błaszak-Marciniak 3-field and 4-field lattices, pp. 99-105.
I. V. Kanatchikow:
On the Duffin-Kemmer-Petiau formulation of the covariant hamiltonian dynamics in field theory, pp. 107-112.
G. Kaniadakis and A. M. Scarfone:
Nonlinear gauge transformations for a class of Schrödinger equations containing complex nonlinearities, pp. 113-118.
M.A Knyazev and E. A Goncharenko:
Two-kink states for a system of two scalar fields, pp. 119-124.
A. Kundu:
Algebraic costruction of quantum integrable models including inhomogeneous models, pp. 125-136.
V. I. Lahno:
Realizations of the Poincaré algebra and Poincaré-invariant equations in three-dimensional space-time, pp. 137-142.
M. Lakshmanan, T. Kanna and R. Radhakrishnan:
Shape-changing collisions of coupled bright solitions in birefringent optical fibers, pp. 143-156.
R. Léandre:
A sheaf-theoretical approach to stochastic cosmology, pp. 157-164.
A. A. Zaitsev and S.B Leble:
Division of differential operators, intertwine relations and Darboux transformations, pp. 165-174.
K. Goździewski, A. J Maciejewski and Z. Niedzielska:
Searching for integrable systems. An application of Kozlow theorem, pp. 175-182.
A. S. Makarenko:
New differential equation model for hydrodynamisc with memory effects, pp. 183-190.
L. Lanz, O. Melsheimer and B. Vacchini:
Description of isolated macroscopic systems inside quantum mechanics, pp. 191-202.
A. Dimakis and F Müller-Hoissen:
Bi-differential calculus and the KdV equation, pp. 203-210.
J. Napora:
The Moser type reduction of integrable Riccati differential and its Lie-algebraic structure, pp. 211-216.
A. Parker:
On 'regular' and 'anomalous' solitons of fifth-order equations and an iteration method, pp. 217-224.
M. E. Pietrzyk:
Are there solition-like solutions of coupled (1+1)- and (2+1)-dim NSE?, pp. 225-232.
A.K Prykarpatsky:
On algebraic-analytic aspects of the abelian Liouville-Arnold inegrability by quadratures of Hamiltonian systems on cotangent spaces , pp. 233-243.
A. V. Shchepetilov:
Invariant treatment of the two-body problem with central interaction on simply connected spaces of constant sectional curvature, pp. 245-252.
J. J Sławianowski:
Various aspects of the Born-Infeld nonlinearity, pp. 253-260.
A. Szum:
Nonlinear bi-Hamiltonian dynamical systems: Current Lie algebraic approach, pp. 261-268.
:T. Tsuchida:
Integrable discretization of coupled nonolinear Schrödinger equations, pp. 269-278.
N. V Ustinov:
Transformations of ordinary differential equations via Darboux transformation technique, pp. 279-286.
V. A Vladimirov and S. I Skuratvinsky:
Solition-like solutions and other wave patterns in the nonlocal model of structured media, pp. 287-294.
R. Wojnar:
Nonlinear heat equation and thermodifussion, pp. 295-301.
A. Yoshimoto:
Numerical study of barrier tunneling in 2-D systems, pp. 303-310.
J. Zagrodziński:
Solitions and periotic processes as solutions of functional equations, pp. 311-316.