CORDIS Project
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This research examines solitary waves in nonlinear dispersive models, particularly in the context of Quantum Field Theory. The project aims to provide an asymptotic description of solutions over time, focusing on interactions between solitons and radiation, with applications to various topological solitons.
Various models encountered in mathematical physics possess special solutions called solitary waves, which preserve their shape astime passes.
In the case of dispersive models, small perturbations of the field tend to spread, so that their amplitude decays.
TheSoliton Resolution Conjecture predicts that, generically, a solution of a nonlinear dispersive partial differential equation decomposesinto a superposition of solitary waves and a perturbation of small amplitude called radiation.Our study w…
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