Dr Matteo Sommacal

Matteo Sommacal's research interests range from integrable and quasi-integrable systems to dispersive hydrodynamics and dynamical systems, with applications in nonlinear optics, fluid dynamics, BECs, plasma physics, and magnetism. In the theory of integrable systems, he has worked on the mathematical models of 1- and 2-dimensional ferromagnetic systems at the nanometre length-scale, featuring uni-axial and bi-axial anisotropy, providing the theoretical background leading to the first experimental observation of a magnetic droplet in 2013. He has also worked on the problem of linear stability of scalar and multi-component, nonlinear partial differential equations of integrable type, linking instability to the integrability structure and the Lax pairs. In the theory of dynamical systems, he is one of the proponents of a mechanism to explain the onset of complex dynamics by means of an associated Riemann surface. He also researches on the appearance of slow chaos for a circular flow on a compact Riemann surface. He currently focusses on the study of the Talanov dynamics and the rogue-wave formation mechanisms for generalised nonlinear Schrödinger (NLS) equations, with applications in nonlinear optics and fluid dynamics. He has attracted over £500k in external funding and supervised two PhD students to completion.

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• The shrinking space of forgiveness: NAWRU endogeneity and the EU fiscal framework, Carnazza, G., Carnevali, E., Sommacal, M. 14 Jul 2026, In: Structural Change and Economic Dynamics
• Solitons, breathers and rogue waves of the Yajima-Oikawa-Newell long wave-short wave system, Caso-Huerta, M., Feng, B., Lombardo, S., Maruno, K., Sommacal, M. 1 Apr 2025, In: Wave Motion
• On the takeover mechanism in market socialism, Carnevali, E., Sommacal, M. 1 Apr 2024, In: Journal of Economics/ Zeitschrift fur Nationalokonomie
• Rogue wave formation scenarios for the focusing nonlinear Schrödinger equation with parabolic-profile initial data on a compact support, Demontis, F., Ortenzi, G., Roberti, G., Sommacal, M. 11 Aug 2023, In: Physical Review E
• The 3-wave resonant interaction model: spectra and instabilities of plane waves, Romano, M., Lombardo, S., Sommacal, M. 27 Sep 2023, In: Zeitschrift für angewandte Mathematik und Physik
• Aortic stenosis post-COVID-19: a mathematical model on waiting lists and mortality, Stickels, C., Nadarajah, R., Gale, C., Jiang, H., Sharkey, K., Gibbison, B., Holliman, N., Lombardo, S., Schewe, L., Sommacal, M., Sun, L., Weir-McCall, J., Cheema, K., Rudd, J., Mamas, M., Erhun, F. 16 Jun 2022, In: BMJ Open
• Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model, Caso Huerta, M., Degasperis, A., Leal da Silva, P., Lombardo, S., Sommacal, M. 4 Jul 2022, In: Fluids
• A new integrable model of long wave–short wave interaction and linear stability spectra, Caso Huerta, M., Degasperis, A., Lombardo, S., Sommacal, M. 25 Aug 2021, In: Proceedings of the Royal Society A
• Coupled nonlinear Schrödinger equations: spectra and instabilities of plane waves, Degasperis, A., Lombardo, S., Sommacal, M. 19 Nov 2019, Nonlinear Systems and Their Remarkable Mathematical Structures, Boca Raton, CRC Press
• Rogue Wave Type Solutions and Spectra of Coupled Nonlinear Schrödinger Equations, Degasperis, A., Lombardo, S., Sommacal, M. 22 Mar 2019, In: Fluids

• Please visit the Pure Research Information Portal for further information
• Emergent Phenomena in Nonlinear Dispersive Waves, El, G. (Principal Investigator), Sommacal, M. (Co Investigator), Isaac Newton Institute for Mathematical Sciences, 22/07/24 - 16/08/24, £110,169.00

• Mathematics PhD October 17 2005
• Physics MSc September 26 2002
• Fellow of the Higher Education Academy FHEA 2022
• Member of the IMA Conferences Committee 2020
• Member of the LMS Committee for Women and Diversity in Mathematics 2018
• Fellow of the Institute of Mathematics and its Applications FIMA 2018
• LMS Representative at Northumbria University LMS Rep 2018
• Ordinary Member of the London Mathematical Society 2013