Special Session 155: Advances in mathematical modelling and numerical simulation of superfluids

Dynamical reduction for solitonic filaments
Ricardo Carretero
San Diego State University
USA
Co-Author(s):    
Abstract:
In this talk we describe techniques for the dynamical reduction of soliton stripes in nonlinear spatio-temporal systems. The central idea is to cast reductions to accurately describe these structures with lower-dimensional models that are more easily tackled, both mathematically and computationally. In turn, the reduced models allow for an unprecedented description of the statics, stability, dynamics, and interactions of these structures.