Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Research Publications


Publications for Sara Lombardo

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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.



Chapters

Lombardo, S, Degasperis, A, Sommacal, M (2019) Coupled nonlinear Schrödinger equations: spectra and instabilities of plane waves. In Nonlinear Systems and Their Remarkable Mathematical Structures, CRC Press, pp.206-206, ISBN: 9780429554308.

Degasperis, A and Lombardo, S (2016) Integrability in Action: Solitons, Instability and Rogue Waves. In Rogue and Shock Waves in Nonlinear Dispersive Media, Springer International Publishing, pp.23-53, ISBN: 9783319392127. DOI: 10.1007/978-3-319-39214-1_2.



Getting in touch

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Loughborough University
Loughborough
Leicestershire
LE11 3TU
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