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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Topological Solitons Seminar: Collective coordinate approximation to the scattering of solitons in modified (1+1) NLS and sine-Gordon models

Presented by Helen Baron, Durham

19 November 2014 13:00 in CM221

We have used a collective coordinate approximation to model the scattering of solitons in modified nonlinear Schrodinger and sine-Gordon systems. These modified models are deformations from the integrable NLS and sine-Gordon models and have been used previously to explore the concept of quasi-integrability. I will discuss the suitability of the collective coordinate approximation in these cases by comparing the results of the approximation with those of a full numerical simulation; comparing both the trajectories of the scattering solitons and the anomalies of the conservation laws of the charges.

Contact p.m.sutcliffe@durham.ac.uk for more information