PAPERS PUBLISHED IN REFERRED JOURNALS

  1. N M Ivanova, C A Pallikaros, Degenerations of 3-dimensional nilpotent associative algebras over an algebraically closed field, Ukr. Math. J., V.76 (2025), 1808-1820, arXiv:2312.09771.
  2. Ivanova N.M., Pallikaros C.A., Degenerations of complex associative algebras of dimension three via Lie and Jordan algebras, Advances in Group Theory and Applications, V.18 (2024), 41-79, arXiv:2212.10635.
  3. 2. N M Ivanova, C A Pallikaros, Describing certain Lie algebra orbits via polynomial equations, Pr. Inst. Mat. NAN Ukr., V.16 (2019), 84-99, arXiv:1707.09407.
  4. N M Ivanova, C A Pallikaros, On degenerations of algebras over an arbitrary field, Advances in Group Theory and Applications, V.7 (2019), 39-83, arXiv:1702.02647.
  5. Huang D.-j., Ivanova N.M., Algorithmic framework for group analysis of differential equations and its application to generalized Zakharov-Kuznetsov equations, J. Dif. Eq., 2016, V.260, 2354-2382, arXiv:1309.1664.
  6. Broadbridge P. and Ivanova N.M., Solutions and reductions for radiative energy transport in laser-heated plasma, J. Math. Phys., 2015, V.56, 011503, arXiv:1401.0325.
  7. Ivanova N.M., Sophocleous C. and Tracina R., Lie group analysis of two-dimensional variable-coefficient Burgers equation, Z. angew. Math. Phys., 2010, V.61, 793-809.
  8. Ivanova N.M., Sophocleous C. and Leach P.G.L., Group classification of a class of equations arising in financial mathematics, J. Math. Anal. Appl., 2010, V.372, 273-286
  9. Ivanova N.M., Popovych R.O. and Sophocleous C., Group analysis of variable coefficient diffusion-convection equations. I. Enhanced group classification, Lobachevskii Journal of Mathematics, 2010, V.31, no.2, 100-122, arXiv:0710.2731.
  10. Ivanova N.M., Sophocleous C. and Tracina R., Lie group analysis of two-dimensional variable-coefficient Burgers equation, Z. angew. Math. Phys., 2010, V.61, 793-809.
  11. Ivanova N.M., Potential systems for PDEs having several conservation laws, Journal of Engineering Mathematics, 2010, V.66, 175-180 (arXiv:0812.3104).
  12. Christou M.A., Ivanova N.M. and Sophocleous C., Similarity reductions of the (1+3)-dimensional Burgers equation, Applied Mathematics and Computation, 2009, V.210, 87-99.
  13. Ivanova N.M., Popovych R.O., Sophocleous C. and Vaneeva O.O., Conservation laws and hierarchies of potential symmetries for certain diffusion equations, Physica A, 2009, V.388, 343-356 (arXiv:0806.1698).
  14. Demetriou E., Ivanova N.M. and Sophocleous C., Group analysis of (2+1)- and (3+1)-dimensional diffusion-convection equations, J. Math. Anal. Appl., 2008, V.348, 55-65.
  15. Ivanova N.M., Exact solutions of diffusion-convection equations, Dynamics of PDEs, 2008, V.5, 139-171 (arXiv:0710.4000).
  16. Ivanova N.M. and Sophocleous C., Conservation laws and potential symmetries of systems of diffusion equations, J. Phys. A, 2008, V.41, 235201 (14pp).
  17. Popovych R.O., Kunzinger M. and Ivanova N.M., Conservation laws and potential symmetries of linear parabolic equations, Acta Appl. Math., 2008, V.100, no 2, 113-185 (arXiv:0706.0443).
  18. Huang D.-j. and Ivanova N.M., Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations, J. Math. Phys., 2007, V.48, 073507 (math-ph/0702072).
  19. Ivanova N.M. and Popovych R.O., Equivalence of conservation laws and equivalence of potential systems, Int. J. Theor. Phys., 2007, V.46, 2658-2668 (math-ph/0611032, Preprint N1885 of ESI for Mathematical Physics).
  20. Ivanova N.M., Conservation laws of multidimensional diffusion-convection equations, Nonlinear Dynamics, 2007, V.49, 71-81 (math-ph/0604057).
  21. Anco S.C. and Ivanova N.M., Conservation laws and symmetries of semilinear radial wave equations, J. Math. Anal. Appl., 2007, V.332, 863-876. (math-ph/0608037).
  22. Popovych R.O., Vaneeva O.O. and Ivanova N.M., Potential nonclassical symmetries and solutions of fast diffusion equation, Physics Letters A, 2007, V.362, 166-173 (math-ph/0506067).
  23. Bluman G., Cheviakov A.F. and Ivanova N.M., Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples, J. Math. Phys., 2006, V.47, 113505, 23 p.
  24. Ivanova N.M. and Sophocleous C., On the group classification of variable-coefficient nonlinear diffusion-convection equations, J. Comp. Appl. Math., 2006, V.197, 322-344.
  25. Popovych R.O. and Ivanova N.M., Hierarchy of conservation laws of diffusion-convection equations, J. Math. Phys., 2005, V.46, 043502 (22 pages). (math-ph/0407008).
  26. Popovych R.O. and Ivanova N.M., Potential equivalence transformations for nonlinear diffusion-convection equations, J. Phys. A: Math. Gen., 2005, V.38, N 14, 3145-3155. (math-ph/0402066).
  27. Popovych R.O., Ivanova N.M. and Eshraghi H., Group classification of (1+1)-dimensional Schrodinger equations with potentials and power nonlinearities, J. Math. Phys., 2004, V.45 no.8, 3049-3057. (math-ph/0311039).
  28. Popovych R.O. and Ivanova N.M., New results on group classification of nonlinear diffusion-convection equations, J. Phys. A: Math. Gen., 2004, V.37, 7547-7565. (math-ph/0306035).
  29. Popovych R.O., Ivanova N.M. and Eshraghi H., Lie symmetries of (1+1)-dimensional cubic Schrodinger equation with potential, Proceedings of Institute of Mathematics of NAS of Ukraine, 2004, V.50, Part 1, 219-224 (pdf). (math-ph/0310039).
  30. Ivanova N., Conservation laws and potential systems of diffusion-convection equations, Proceedings of Institute of Mathematics of NAS of Ukraine, 2004, V.50, Part 1, 149-153 (pdf). (math-ph/0404025).
  31. Ivanova N., Symmetry of nonlinear Schrodinger equations with harmonic oscillator type potential, Proceedings of Institute of Mathematics of NAS of Ukraine, 2002, V.43, Part 1, 149-150 (pdf).

PAPERS PUBLISHED IN CONFERENCE PROCEEDINGS

  1. Ivanova N.M. and Sophocleous C., On nonclassical symmetries of generalized Huxley equations, Proceedings of 5th Int. Workshop "Group Analysis of Differential Equations and Integrable Systems" (Protaras, Cyprus, 2010), 2011, 91-98, arXiv:1010.2388.
  2. Tracina R., Ivanova N.M. and Sophocleous C., Group classification of three-dimensional variable-coefficient Burgers equation, Proceedings of 15th Int. Conference "Waves and Stability in Continous Media" (WASCOM'09), (Palermo, Italy, 2009), 224-229.
  3. Ivanova N.M., On Lie symmetries of a class of reaction-diffusion equations, Proceedings of 4th Int. Workshop "Group Analysis of Differential Equations and Integrable Systems", (Protaras, Cyprus, 2008), 84-86.
  4. Demetriou E., Sophocleous C. and Ivanova N.M., Lie group classification of systems of diffusion equations, Proceedings of International Conference "Nonlinear science and complexity" (NSC'08, session MOGRAN-12, Porto, Portugal, 2008), We-SA-1_2NSC08094, 10 p.
  5. Ivanova N.M., Local and nonlocal conservation laws of diffusion-convection equations, Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 148-158 (in Ukrainian).
  6. Ivanova N.M., Popovych R.O. and Sophocleous C., Conservation laws of variable coefficient diffusion-convection equations, in Proceedings of 10th International Conference MOGRAN X (24-31 October, 2004, Larnaca, Cyprus), 107-113.(math-ph/0505015).
  7. Sophocleous C. and Ivanova N.M., Differential invariants of semilinear wave equations, in Proceedings of 10th International Conference MOGRAN X (24-31 October, 2004, Larnaca, Cyprus), 198-206.
  8. Ivanova N.M., Popovych R.O. and Eshraghi H., On symmetry properties of nonlinear Schrodinger equations with potentials, in Proceedings of Third Summer School in Modern Mathematical Physics (20-31 August, 2004, Zlatibor, Serbia and Montenegro), 451-456.
  9. Ivanova N. Group analysis of nonlinear reaction diffusion models, in Proceedings of International Conference "Avia-2003" (23-29 April, 2003, Kyiv), 2003, V.II, 22.25-22.28.

BOOKS AND LECTURE NOTES

1.     Н. Іванова, Історія математики в культурній спадщині Європи. Том І: Давній світ, математика корінних народів Америки, Київ 2026.

2.     Н. Іванова, Історія математики в культурній спадщині Європи. Том ІІ: Східна спадщина, Київ 2026.

3.     Н. Іванова, Історія математики в культурній спадщині Європи. Том ІІІ: Математика Європи від Середньовіччя до XVII століття, Київ 2026.

  1. Χ. Παλλήκαρος, Ν. Ιβανόβα, Σύνολα, Αριθμοί και Αλγεβρικές Δομές - μια εισαγωγή στα μαθηματικά, Λευκωσία, 2025.

5.     Н. Іванова, В математичному вихорі.

6.     N. Ivanova, A Chronicle of Mathematical Milestones: The Mathematical Calendar, Cambridge Scholars, 2023.

 

PAPERS PUBLISHED AS PREPRINTS AND/OR SUBMITTED FOR PUBLICATION

  1. Ivanova N.M., Popovych R.O. and Sophocleous C., Group analysis of variable coefficient diffusion-convection equations. II. Contractions and exact solutions, arXiv:0710.3049.
  2. Ivanova N.M., Popovych R.O. and Sophocleous C., Group analysis of variable coefficient diffusion-convection equations. III. Conservation Laws, arXiv:0710.3053.
  3. Ivanova N.M., Popovych R.O. and Sophocleous C., Group analysis of variable coefficient diffusion-convection equations. IV. Potential Symmetries, arXiv:0710.4251.

EDITORIAL ACTIVITIES

  1. N.M. Ivanova, P.G.L. Leach, R.O. Popovych, C. Sophocleous and P.A. Damianou (Editors), Proceedings of 5th Workshop "Group Analysis of Differential Equations and Integrable Systems" (6-10 June 2010, Protaras, Cyprus), 240 pp.
  2. Ivanova N.M., Popovych R.O., Sophocleous C., Damianou P. and Nikitin A.G. (Editors), Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26-30 October 2008, Protaras, Cyprus), 256 pp.

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