Boris A. Malomed

3 weeks ago | opg.optica.org | Pengfei Li |Boris A. Malomed |Dumitru Mihalache |Shilong Liu

Domain walls (DWs) are topological defects produced by symmetry-breaking phase transitions. Although DWs have been the subject of much work due to their fundamental physical properties, they have not been explored in optical systems with higher-order dispersion. Recent experimental and theoretical works have demonstrated that pure-quartic (PQ) solitons, with their specific energy–width scaling, arise from the interplay of the quartic group-velocity dispersion (GVD) and Kerr nonlinearity.

Oct 8, 2024 | opg.optica.org | Pengfei Li |Boris A. Malomed |Liangliang Dong |Dumitru Mihalache

We investigate spontaneous symmetry- and antisymmetry-breaking bifurcations of solitons in a nonlinear dual-core waveguide with the pure-quartic dispersion and Kerr nonlinearity. Symmetric, antisymmetric, and asymmetric pure-quartic solitons (PQSs) are found, and their stability domains are identified. The bifurcations for both the symmetric and antisymmetric PQSs are of the supercritical type (alias phase transitions of the second kind).

Jan 8, 2024 | preprints.org | Boris A. Malomed

Preprint Review Version 1 This version is not peer-reviewed Version 1 : Received: 8 January 2024 / Approved: 8 January 2024 / Online: 9 January 2024 (02:30:13 CET) Malomed, B. Discrete and Semi-discrete Multidimensional Solitons and Vortices: Established Results and Novel Findings. Preprints 2024, 2024010655. https://doi.org/10.20944/preprints202401.0655.v1 Malomed, B. Discrete and Semi-discrete Multidimensional Solitons and Vortices: Established Results and Novel Findings.