67 citations · 228 across the 23 of their papers we have counts for
23 papers
Quasi-integrability of deformations of the KdV equation
F. ter Braak, L. A. Ferreira, W. J. Zakrzewski
We investigate the quasi-integrability properties of various deformations of the Korteweg-de Vries (KdV) equation, depending on two parameters and ,…
Collective coordinate approximation to the scattering of solitons in modified NLS and sine-Gordon models
Wojtek Zakrzewski, Helen Baron
We investigate the validity of collective coordinate approaximations to the scattering of solitons in several classes of models in (1+1) dimensional field theory models. We look at…
General relativistic, nonstandard model for the dark sector of the Universe
P. C. Stichel, W. J. Zakrzewski
We present a general relativistic version of the self-gravitating fluid model for the dark sector of the Universe (darkon fluid) introduced in Phys. Rev. 80 (2009) 083513 and exten…
Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
H. E. Baron, G. Luchini, W. J. Zakrzewski
We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schrödinger (NLS) solitons. We discuss the accuracy of this approximation by com…
Bio-Polymer Hairpin Loops Sustained by Polarons
B. Chakrabarti, B. Piette, W. J. Zakrzewski
We show that polarons can sustain loop-like configurations in flexible bio-polymers and that the size of the loops depend on both the flexural rigidity of the polymer and the elect…
Properties of some (3+1) dimensional vortex solutions of the CP^N model
L. A. Ferreira, P. Klimas, W. J. Zakrzewski
We construct new classes of vortex-like solutions of the CP^N model in (3+1) dimensions and discuss some of their properties. These solutions are obtained by generalizing to (3+1)…
Spontaneous Polaron Transport in Biopolymers
B. Chakrabarti, B. M. A. G. Piette, W. J. Zakrzewski
Polarons, introduced by Davydov to explain energy transport in -helices, correspond to electrons localised on a few lattice sites because of their interaction with phonons. Whil…
Self-gravitating darkon fluid with anisotropic scaling
P. C. Stichel, W. J. Zakrzewski
The fluid model for the dark sector of the universe (darkon fluid) introduced previously in \cite{PRD} is reformulated as a modified model involving only variables from physical ph…
Acceleration-Enlarged Symmetries in Nonrelativistic Space-Time with a Cosmological Constant
J. Lukierski, P. C. Stichel, W. J. Zakrzewski
By considering the nonrelativistic limit of de-Sitter geometry one obtains the nonrelativistic space-time with a cosmological constant and Newton-Hooke (NH) symmetries. We show tha…
Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations
J. Lukierski, I. Prochnicka, P. C. Stichel +1
We describe the general class of -extended Galilean supersymmetries obtained, respectively, from the -extended D=3 Poincaré superalgebras with maximal sets of centr…
Conformational transformations induced by the charge-curvature interaction
Yu. B. Gaididei, P. L. Christiansen, W. J. Zakrzewski
A simple phenomenological model for describing the conformational dynamics of biological macromolecules via the nonlinearity-induced instabilities is proposed. It is shown that the…
N=2 Supersymmetric Planar Particles and Magnetic Interaction from Noncommutativity
J. Lukierski, P. C. Stichel, W. J. Zakrzewski
We describe a N=2 supersymmetric extension of the nonrelativistic (2+1)-dimensional model describing particles on the noncommutative plane with scalar (electric) and vector (magnet…
On CP1 and CP2 maps and Weierstrass representations for surfaces immersed into multi-dimensional Euclidean spaces
A. M. Grundland, W. J. Zakrzewski
An extension of the classic Enneper-Weierstrass representation for conformally parametrised surfaces in multi-dimensional spaces is presented. This is based on low dimensional CP^1…
Noncommutative planar particles: higher order versus first order formalism and supersymmetrization
J. Lukierski, P. Stichel, W. J. Zakrzewski
We describe the supersymmetrization of two formulations of free noncommutative planar particles -- in coordinate space with higher order Lagrangian [1] and in the framework of Fadd…
Chern-Simons Particles with Nonstandard Gravitational Interaction
J. Lukierski, P. C. Stichel, W. J. Zakrzewski
The model of nonrelativistic particles coupled to nonstandard (2+1)-gravity [1] is extended to include Abelian or non-Abelian charges coupled to Chern-Simons gauge fields. Equivale…
Translational Chern--Simons Action and New Planar Particle Dynamics
J. Lukierski, P. C. Stichel, W. J. Zakrzewski
We consider a nonstandard gravity described by a translational Chern--Simons action, and couple it to the nonrelativistic point particles. We fix the asymptotic coordinate…
Multibaryons with strangeness, charm and bottom
V. B. Kopeliovich, W. J. Zakrzewski
Static properties of multiskyrmions with baryon numbers up to 8 are calculated, including momenta of inertia and sigma-term. The calculations are based on the recently suggested SU…
On the interactions of Skyrmions with domain walls
A. E. Kudryavtsev, B. M. A. G. Piette, W. J. Zakrzewski
We study classical solutions of a particular version of the modified Skyrme model in (3+1) dimensions. The model possesses Skyrmion solutions as well as stable domain walls that co…
Skyrmions and domain walls in (2+1) dimensions
A. Kudryavtsev, B. Piette, W. J. Zakrzewski
We study classical solutions of the vector O(3) sigma model in (2+1) dimensions, spontaneously broken to O(2)xZ2. The model possesses Skyrmion-type solutions as well as stable doma…
How to kick a soliton ?
J. Dziarmaga, W. Zakrzewski
A simple method how to study response of solitons in dissipative systems to external impulsive perturbations is developed. Thanks to nontrivial choice of small parameter, the pertu…
Static skyrmions in (2+1)-dimensions
R. J. Cova, W. J. Zakrzewski
In the spirit of previous papers, but using more general field configurations, the non-linear O(3) model in (2+1)-D, modified by the addition of both a potential-like term and a Sk…
Kinetics of phase ordering with topological textures
Martin Zapotocky, Wojtek Zakrzewski
We study the role played by topological textures and antitextures during the phase ordering of a two-dimensional system described by the discretised nonlinear O(3) sigma model with…
Quantum Group Models
Y. Frishman, J. Lukierski, W. J. Zakrzewski
Field-theoretic models for fields taking values in quantum groups are investigated. First we consider model ( real) expressed in terms of basic notions of noncommu…