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Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model (2014)
Journal Article
Baron, H., Zakrzewski, W., & Luchini, G. (2014). Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model. Journal of Physics A: Mathematical and Theoretical, 47(26), Article 265201. https://doi.org/10.1088/1751-8113/47/26/265201

We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schrödinger solitons. We discuss the accuracy of this approximation by comparing our results with those of the full numerical simulations and find tha... Read More about Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model.

Clustering and decomposition for non-BPS solutions of the CPN−1 models (2014)
Journal Article
Bolognesi, S., & Zakrzewski, W. (2014). Clustering and decomposition for non-BPS solutions of the CPN−1 models. Physical Review D, 89(6), Article 065013. https://doi.org/10.1103/physrevd.89.065013

We look at solutions [both Bogomol’nyi-Prasad-Sommerfield (BPS) and non-BPS] of the CPN−1 model on R×S1 (with twisted boundary conditions), in particular by using a conformal mapping technique, and we show how to interpret these solutions by decompos... Read More about Clustering and decomposition for non-BPS solutions of the CPN−1 models.

Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models (2014)
Journal Article
Ferreira, L., & Zakrzewski, W. (2014). Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models. Journal of High Energy Physics, 2014(1), Article 058. https://doi.org/10.1007/jhep01%282014%29058

Following our attempts to define quasi-integrability in which we related this concept to a particular symmetry of the two-soliton function we check this condition in three classes of modified sine-Gordon models in (1 + 1) dimensions. We find that the... Read More about Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models.

The concept of quasi-integrability (2013)
Other
Ferreira, L., Luchini, G., & Zakrzewski, W. (2013). The concept of quasi-integrability

We show that certain field theory models, although non-integrable according to the usual definition of integrability, share some of the features of integrable theories for certain configurations. Here we discuss our attempt to define a “quasi-integra... Read More about The concept of quasi-integrability.

A Skyrme-like model with an exact BPS bound (2013)
Journal Article
Ferreira, L., & Zakrzewski, W. (2013). A Skyrme-like model with an exact BPS bound. Journal of High Energy Physics, 2013(9), Article 097. https://doi.org/10.1007/jhep09%282013%29097

We propose a new Skyrme-like model with fields taking values on the sphere S3 or, equivalently, on the group SU(2). The action of the model contains a quadratic kinetic term plus a quartic term which is the same as that of the Skyrme-Faddeev model. T... Read More about A Skyrme-like model with an exact BPS bound.

Some aspects of self-duality and generalised BPS theories (2013)
Journal Article
Adam, C., Ferreira, L., da Hora, E., Wereszczynski, A., & Zakrzewski, W. (2013). Some aspects of self-duality and generalised BPS theories. Journal of High Energy Physics, 2013(8), Article 62. https://doi.org/10.1007/jhep08%282013%29062

If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related BPS equatio... Read More about Some aspects of self-duality and generalised BPS theories.

Nonstandard approach to gravity for the dark sector of the Universe (2013)
Other
Stichel, P., & Zakrzewski, W. (2013). Nonstandard approach to gravity for the dark sector of the Universe

We summarize the present state of research on the darkon fluid as a model for the dark sector of the Universe. Nonrelativistic massless particles are introduced as a realization of the Galilei group in an enlarged phase space. The additional degrees... Read More about Nonstandard approach to gravity for the dark sector of the Universe.