I'm a post-doctoral researcher of the CRC "Wave phenomena: analysis and numerics" working on the mathematics of frequency combs . In October 2025, I defended my PhD under the supervision of Prof. Wolfgang Reichel.

Research interests

• Nonlinear partial differential equations
• Nonlinear waves
• Dynamical systems
• Nonlinear optics

Publications/Preprints

• L. Bengel, F. Talenti,  A. Alaeddini, C. Scheib, B. de Rijk, W. Reichel, G. Leo, C. Koos, H. Peng, S. Wabnitz, Second-Harmonic Bichromatic Dispersive Wave Comb Generation in a Dissipative Kerr Temporal Soliton Fabry-Perot, (submitted). preprint
• L. Bengel, F. R. Talenti, C. Scheib, A. Alaeddini, W. Reichel, G. Leo, C. Koos, H. Peng, S. Wabnitz, Second-Harmonic Dual-Frequency Microcomb Generation in a Fundamental Frequency Temporal Cavity Soliton Fabry-Perot, (submitted)
• L. Bengel, B. de Rijk, Multiple front and pulse solutions in spatially periodic systems, (submitted). preprint
• L. Bengel, W. Reichel, Analysis of Kerr frequency combs in microresonators with two-photon absorption and free-carriers, Springer Proceedings in Mathematics & Statistics, vol 515. Springer, Cham (2026). Article, preprint
• L. Bengel, B. de Rijk, Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation, Phys. D, 483 (2025). Article, preprint
• L. Bengel, Stability of solitary wave solutions in the Lugiato-Lefever equation, Z. Angew. Math. Phys. 75, 130 (2024). Article, preprint
• L. Bengel, D. Pelinovsky, W. Reichel, Pinning in the extended Lugiato-Lefever equation, SIAM J. Math. Anal. 56 (2024), no. 3, 3679-3702. Article, preprint