School of Mathematics, Statistics & Actuarial Science

About

Pavlos joined SMSAS in the summer of 2015, having previously held a Research Fellowship at the University of Leeds. He organises the Mathematical Physics seminars/discussion group meetings.

Contact Information

Address

Room 359

Office hours: Tu 14:30-15:30/Th 13:30-14:30

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Publications

List of publications (PDF 67 KB)

Also view these in the Kent Academic Repository

Article
Fordy, A. and Xenitidis, P. (2017). ZN graded discrete Lax pairs and Yang–Baxter maps. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science [Online] 473:20160946. Available at: https://doi.org/10.1098/rspa.2016.0946.
Fordy, A. and Xenitidis, P. (2017). Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice. Symmetry, Integrability and Geometry: Methods and Applications [Online] 13. Available at: https://doi.org/10.3842/SIGMA.2017.051.
Fordy, A. and Xenitidis, P. (2017). Ζ_Ν graded discrete Lax pairs and integrable difference equations. Journal of Physics A: Mathematical and Theoretical [Online]:165205. Available at: http://dx.doi.org/10.1088/1751-8121/aa639a.
Berkeley, G., Mikhailov, A. and Xenitidis, P. (2016). Darboux transformations with tetrahedral reduction group and related integrable systems. Journal of Mathematical Physics [Online] 57. Available at: http://dx.doi.org/10.1063/1.4962803.
Konstantinou-Rizos, S., Mikhailov, A. and Xenitidis, P. (2015). Reduction groups and related integrable difference systems of nonlinear Schrödinger type. Journal of Mathematical Physics [Online] 56:82701. Available at: http://doi.org/10.1063/1.4928048.
Mikhailov, A. and Xenitidis, P. (2014). Second Order Integrability Conditions for Difference Equations: An Integrable Equation. Letters in Mathematical Physics [Online] 104:431-450. Available at: http://dx.doi.org/10.1007/s11005-013-0668-8.
Xenitidis, P. and Nijhoff, F. (2012). Symmetries and conservation laws of lattice Boussinesq equations. Physics Letters A [Online] 376:2394-2401. Available at: http://dx.doi.org/10.1016/j.physleta.2012.06.004.
Xenitidis, P., Nijhoff, F. and Lobb, S. (2011). On the Lagrangian formulation of multidimensionally consistent systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences [Online] 467:3295-3317. Available at: http://doi.org/10.1098/rspa.2011.0124.
Xenitidis, P. (2011). Symmetries and conservation laws of the ABS equations and corresponding differential–difference equations of Volterra type. Journal of Physics A: Mathematical and Theoretical [Online] 44:435201. Available at: http://doi.org/10.1088/1751-8113/44/43/435201.
Mikhailov, A., Wang, J. and Xenitidis, P. (2011). Cosymmetries and Nijenhuis recursion operators for difference equations. Nonlinearity [Online] 24:2079-2097. Available at: http://doi.org/10.1088/0951-7715/24/7/009.
Mikhailov, A., Wang, J. and Xenitidis, P. (2011). Recursion operators, conservation laws, and integrability conditions for difference equations. Theoretical and Mathematical Physics [Online] 167:421-443. Available at: http://doi.org/10.1007/s11232-011-0033-y.
Tsoubelis, D. and Xenitidis, P. (2009). Continuous symmetric reductions of the Adler–Bobenko–Suris equations. Journal of Physics A: Mathematical and Theoretical [Online] 42:165203. Available at: http://doi.org/10.1088/1751-8113/42/16/165203.
Xenitidis, P. and Papageorgiou, V. (2009). Symmetries and integrability of discrete equations defined on a black–white lattice. Journal of Physics A: Mathematical and Theoretical [Online] 42:454025. Available at: http://doi.org/10.1088/1751-8113/42/45/454025.
Tongas, A., Tsoubelis, D. and Xenitidis, P. (2007). Affine linear and D4 symmetric lattice equations: symmetry analysis and reductions. Journal of Physics A: Mathematical and Theoretical [Online] 40:13353-13384. Available at: http://doi.org/10.1088/1751-8113/40/44/015.
Dimas, S., Tsoubelis, D. and Xenitidis, P. (2007). Lie point symmetry reductions of Bondi's radiating metric. Journal of Physics: Conference Series [Online] 68:12018. Available at: http://doi.org/10.1088/1742-6596/68/1/012018.
Tongas, A., Tsoubelis, D. and Xenitidis, P. (2001). Integrability aspects of a Schwarzian PDE. Physics Letters A [Online] 284:266-274. Available at: http://doi.org/10.1016/S0375-9601(01)00295-X.
Tongas, A., Tsoubelis, D. and Xenitidis, P. (2001). A family of integrable nonlinear equations of hyperbolic type. Journal of Mathematical Physics [Online] 42:5762. Available at: http://doi.org/10.1063/1.1416488.
Conference or workshop item
Xenitidis, P. (2009). Integrability and symmetries of difference equations: the Adler-Bobenko-Suris case. in: Group Analysis of Differential Equations and Integrable Systems. pp. 226-242.
Total publications in KAR: 18 [See all in KAR]

 

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Research Interests

Pavlos’ research interests include

  • classification of integrable systems;
  • symmetries, conservation laws and integrability tests;
  • reductions and Painlevé equations;
  • discretization of differential equations.
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Teaching

MA344: Application of Mathematics
MA5505: Linear Partial Differential Equations back to top

School of Mathematics, Statistics and Actuarial Science (SMSAS), Sibson Building, Parkwood Road, Canterbury, CT2 7FS

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Last Updated: 02/10/2017