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Dr Matteo Sommacal

Senior Lecturer

Department: Mathematics, Physics and Electrical Engineering

EE Matteo Sommacal Staffprofile 255Matteo Sommacal was born in Roma, Italy, on November 18, 1977. Currently, he is Senior Lecturer in Applied Mathematics in the Department of Mathematics, Physics and Electrical Engineering at Northumbria University, Newcastle upon Tyne, UK, where he arrived in January 2012. He earned a M.Sc. in Physics at the Università degli studi di Roma "La Sapienza", Italy (2002). Subsequently, he received a Ph.D. in Mathematical Physics at the International School for Advanced Studies in Trieste, Italy, with Professor Francesco Calogero as advisor (2005), discussing the thesis "The Transition from Regular to Irregular Motions, Explained as Travel on Riemann Surfaces".

After the Ph.D. studies, he got several academic positions as post-doctoral fellow and research scholar. He was "Chercheur post-doctorant" at the Laboratoire J.-L. Lions, Université Pierre et Marie Curie-Paris VI, France (November 2005 – October 2006). He then received a three-year post-doctoral fellowship ("assegno di ricerca") from the Department of Mathematics and Computer Science, Università degli Studi di Perugia, Italy (November 2006 – October 2009). After one year as post-doctoral fellow at the Department of Physics, Università degli Studi di Roma "La Sapienza", Italy (November 2009 – October 2010), he got an invitation as "Visiteur de longue durée" at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France (November 2010 – April 2011). He then was appointed a post-doctoral research scholarship at the Department of Mathematics, North Carolina State University, Raleigh, NC, USA (May 2011 – December 2011).

Research Themes and Scholarly Interests

Matteo Sommacal is an expert in nonlinear waves, integrable systems and dynamical systems. In the theory of integrable systems, he mainly works on the mathematical models of 1- and 2-dimensional ferromagnetic systems at the nanometre length-scale, featuring uni-axial and bi-axial anisotropy, and on the problem of linear stability of scalar and multi-component, nonlinear partial differential equations of integrable type. 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.

Key Publications

  • Please visit the Pure Research Information Portal for further information
  • 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
  • The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions: I. Direct and inverse scattering theory, Demontis, F., Ortenzi, G., Sommacal, M., van der Mee, C. 1 Jun 2019, In: Ricerche di Matematica
  • The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions: II. IST and closed-form soliton solutions, Demontis, F., Ortenzi, G., Sommacal, M., van der Mee, C. 1 Jun 2019, In: Ricerche di Matematica
  • Effective generation of closed-form soliton solutions of the continuous classical Heisenberg ferromagnet equation, Demontis, F., Lombardo, S., Sommacal, M., Mee, C., Vargiu, F. 1 Nov 2018, In: Communications in Nonlinear Science and Numerical Simulation
  • Heisenberg ferromagnetism as an evolution of a spherical indicatrix: localized solutions and elliptic dispersionless reduction, Demontis, F., Ortenzi, G., Sommacal, M. 7 May 2018, In: Electronic Journal of Differential Equations
  • Integrability and linear stability of nonlinear waves, Degasperis, A., Lombardo, S., Sommacal, M. Aug 2018, In: Journal of Nonlinear Science
  • Propagating two-dimensional magnetic droplets, Hoefer, M., Sommacal, M. May 2012, In: Physica D: Nonlinear Phenomena
  • Propagation and control of nanoscale magnetic-droplet solitons, Hoefer, M., Sommacal, M., Silva, T. 2012, In: Physical Review B

PGR Supervision

  • Marcos Caso Huerta Integrability and instability of nonlinear waves Start Date: 01/10/2019
  • Marzia Romano The 3-Wave Resonant Interaction Model: Spectra and Instabilities of Plane Waves Start Date: 20/11/2017 End Date: 24/10/2019


  • Mathematics PhD October 17 2005
  • Physics MSc September 26 2002
  • 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

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