Journal Articles
Knibbeler, V,
Lombardo, S, Oelen, C (2022)
Polyhedral groups in,
Glasgow Mathematical Journal, pp.1-6, ISSN: 0017-0895. DOI:
10.1017/s0017089522000283.
Caso-Huerta, M, Degasperis, A, Leal da Silva, P,
Lombardo, S, Sommacal, M (2022)
Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model,
Fluids, 7(7), pp.227-227, DOI:
10.3390/fluids7070227.
Stickels, CP, Nadarajah, R, Gale, CP, Jiang, H, Sharkey, KJ, Gibbison, B, Holliman, N,
Lombardo, S, Schewe, L, Sommacal, M, Sun, L, Weir-McCall, J, Cheema, K, Rudd, JHF, Mamas, M, Erhun, F (2022)
Aortic stenosis post-COVID-19: a mathematical model on waiting lists and mortality,
BMJ Open, 12(6), pp.e059309-e059309, ISSN: 2044-6055. DOI:
10.1136/bmjopen-2021-059309.
Knibbeler, V,
Lombardo, S, Veselov, AP (2022)
Automorphic Lie Algebras and Modular Forms,
International Mathematics Research Notices, ISSN: 1073-7928. DOI:
10.1093/imrn/rnab376.
Caso-Huerta, M, Degasperis, A,
Lombardo, S, Sommacal, M (2021)
A new integrable model of long wave–short wave interaction and linear stability spectra,
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2252), pp.20210408-20210408, ISSN: 1364-5021. DOI:
10.1098/rspa.2021.0408.
Knibbeler, V,
Lombardo, S, Sanders, JA (2019)
Hereditary automorphic Lie algebras,
Communications in Contemporary Mathematics, ISSN: 0219-1997. DOI:
10.1142/S0219199719500767.
Knibbeler, V, Lombardo, S, Sanders, JA (Accepted for publication) Automorphic Lie Algebras and Cohomology of Root Systems, Journal of Lie Theory, ISSN: 0940-2268.
Degasperis, A,
Lombardo, S, Sommacal, M (2019)
Rogue Wave Type Solutions and Spectra of Coupled Nonlinear Schrödinger Equations,
Fluids, 4(1), pp.57-57, DOI:
10.3390/fluids4010057.
Demontis, F,
Lombardo, S, Sommacal, M, Mee, CVD, Vargiu, F (2018)
Effective generation of closed-form soliton solutions of the continuous classical Heisenberg ferromagnet equation,
Communications in Nonlinear Science and Numerical Simulation, 64, pp.35-65, ISSN: 1007-5704. DOI:
10.1016/j.cnsns.2018.03.020.
Degasperis, A,
Lombardo, S, Sommacal, M (2018)
Integrability and linear stability of nonlinear waves,
Journal of Nonlinear Science, 28(4), pp.1251-1291, ISSN: 0938-8974. DOI:
10.1007/s00332-018-9450-5.
Knibbeler, V,
Lombardo, S, Sanders, JA (2016)
Higher-dimensional automorphic lie algebras,
Foundations of Computational Mathematics, 17(4), pp.987-1035, ISSN: 1615-3375. DOI:
10.1007/s10208-016-9312-1.
Knibbeler, V,
Lombardo, S, A Sanders, J (2014)
Automorphic Lie algebras with dihedral symmetry,
Journal of Physics A: Mathematical and Theoretical, 47(36), pp.365201-365201, ISSN: 1751-8113. DOI:
10.1088/1751-8113/47/36/365201.
Baronio, F, Conforti, M, Degasperis, A,
Lombardo, S, Onorato, M, Wabnitz, S (2014)
Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime,
Physical Review Letters, 113(3), 034101, ISSN: 0031-9007. DOI:
10.1103/physrevlett.113.034101.
Holloway, PM, Angelova, M,
Lombardo, S, St Clair Gibson, A, Lee, D, Ellis, J (2014)
Complexity analysis of sleep and alterations with insomnia based on non-invasive techniques,
Journal of The Royal Society Interface, 11(93), pp.20131112-20131112, ISSN: 1742-5689. DOI:
10.1098/rsif.2013.1112.
Degasperis, A and
Lombardo, S (2013)
Rational solitons of wave resonant-interaction models,
Physical Review E, 88(5), 052914, ISSN: 1539-3755. DOI:
10.1103/physreve.88.052914.
Baronio, F, Conforti, M, Degasperis, A,
Lombardo, S (2013)
Rogue Waves Emerging from the Resonant Interaction of Three Waves,
Physical Review Letters, 111(11), 114101, ISSN: 0031-9007. DOI:
10.1103/physrevlett.111.114101.
Degasperis, A, Conforti, M, Baronio, F, Wabnitz, S,
Lombardo, S (2011)
The Three-Wave Resonant Interaction Equations: Spectral and Numerical Methods,
Letters in Mathematical Physics, 96(1-3), pp.367-403, ISSN: 0377-9017. DOI:
10.1007/s11005-010-0430-4.
Lombardo, S, Silvester, D, Timonen, J (2011)
Nonlinear phenomena, optical and quantum solitons,
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 369(1939), pp.1115-1117, ISSN: 1364-503X. DOI:
10.1098/rsta.2010.0372.
Gómez-Ullate, D,
Lombardo, S, Mañas, M, Mazzocco, M, Nijhoff, F, Sommacal, M (2010)
Integrability and nonlinear phenomena,
Journal of Physics A: Mathematical and Theoretical, 43(43), pp.430301-430301, ISSN: 1751-8113. DOI:
10.1088/1751-8121/43/43/430301.
Lombardo, S and Sanders, JA (2010)
On the Classification of Automorphic Lie Algebras,
Commun. Math. Phys, 299, pp.793-824, DOI:
10.1007/s00220-010-1092-x.
Degasperis, A and
Lombardo, S (2009)
Multicomponent integrable wave equations II: Soliton solutions,
Journal of Physics A: Mathematical and Theoretical, 42, ISSN: 0305-4470. DOI:
10.1088/1751-8113/42/38/385206.
Degasperis, A and
Lombardo, S (2007)
Multicomponent integrable wave equations I. Darboux-Dressing Transformation,
Journal of Physics A: Mathematical and Theoretical, 40(961), ISSN: 0305-4470. DOI:
10.1088/1751-8113/40/5/007.
Degasperis, A and
Lombardo, S (2006)
Exact solutions of the 3-wave resonant interaction equation,
Physica D: Nonlinear Phenomena, ISSN: 0167-2789. DOI:
10.1016/j.physd.2006.01.003.
Lombardo, S and Mikhailov, AV (2005)
Reduction Groups and Automorphic Lie Algebras,
Commun.Math.Phys, 258, pp.179-202, DOI:
10.1007/s00220-005-1334-5.
Lombardo, S and Mikhailov, AV (2004)
Reductions of integrable equations. Dihedral group,
Journal of Physics A: Mathematical and General, 37, ISSN: 0305-4470. DOI:
10.1088/0305-4470/37/31/006.
Conferences
Aceves, AB, Baronio, F, Conforti, M, Degasperis, A, Frisquet, B, Kibler, B,
Lombardo, S, Millot, G, Morin, P, Wabnitz, S (2015) Multicomponent rogue waves. In
, Progress in Electromagnetics Research Symposium, pp.861-865, ISBN: 9781934142301.
Baronio, F, Conforti, M, Degasperis, A,
Lombardo, S, Onorato, M, Wabnitz, S (2014)
Vector Rogue Waves and Modulation Instability in the Defocusing Regime. In
Nonlinear Photonics, Advanced Photonics. DOI:
10.1364/np.2014.nm3a.4.
Holloway, P, Angelova, M, St. Clair Gibson, A,
Lombardo, S, Lee, D, Ellis, J, Lambert, E, Rauch, L (2012)
Modelling techniques for analysis of human activity patterns. In
2012 6th IEEE International Conference Intelligent Systems (IS), 2012 6th IEEE International Conference Intelligent Systems. DOI:
10.1109/is.2012.6335148.
