2023/04/23 by Patrick Dorey, Anastasia Gorina, Dorey, Patrick +5 · 3 citations
Physics and Astronomy · Engineering · #Nonlinear Photonic Systems #Advanced Fiber Laser Technologies #Advanced Fiber Optic Sensors
paper · pdf · doi:10.48550/arxiv.2304.11710
We investigate soliton collisions a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the parameter its kinks have an internal structure in the form of two weakly-bound subkinks. We show that for these values of the parameter kink collisions are best understood as an independent sequence of collisions of these subkinks, and that a static mode analysis is not enough to explain resonant structures emerging in this model. We also emphasise the role of radiation and oscillon formation in the collision process.