https://doi.org/10.1051/epjconf/202328706018
Complex interactions of breathers
1 Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR6303 CNRS-Université Bourgogne Franche-Comté, 21000 Dijon, France
2 Hakubi Center for Advanced Research, Kyoto University, Kyoto, Kyoto 606-8501, Japan
* e-mail: Andrey.Gelash@u-bourgogne.fr
Published online: 18 October 2023
We present our recent theoretical and experimental advancements in studying complex multiple nonlinear interactions of coherent solitary wave structures on unstable background – breathers. We use the focusing one-dimensional nonlinear Schrödinger equation (NLSE) as a theoretical model. First, we describe the nonlinear mutual interactions between a pair of co-propagative breathers called breather molecules. Then with the novel approach of breather interaction management, we adjust the initial positions and phases of several breathers to observe various desired wave states at controllable moments of evolution. Our experiments carried out on a light wave platform with a nearly conservative optical fiber system accurately reproduce the predicted dynamics. In addition, we consider generalizations of the scalar breathers theory to the vector two-component NLSE describing polarized light and show examples of resonance vector breathers transformations.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
