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#### Mission Statement

TheInstitute for Advanced Physical Studiesconducts, promotes and manages original interdisciplinary research in physics and other natural sciences by harnessing the intellectual capital of its members and collaborators. The results of the high quality research are intended to produce impact to the society by disseminating them by way of teaching, publication or knowledge transfer.

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Recent Publications

#### Reparametrization Invariance and Some of the Key Properties of Physical Systems

**Vesselin G. Gueorguiev**, Andre Maeder**,** Symmetry **2021**, 13, 522

#### On the spectral properties of Lax operators related to BD.I symmetric spaces

Alina Streche-Pauna, Aurelia Daniela Florian, **Vladimir S. Gerdjikov,** Advanced Computing in Industrial Mathematics. BGSIAM 2018. Studies in Computational Intelligence, vol 961

#### On the mKdV equations related to the Kac-Moody algebras $A_5^{(1)}$ and $A_5^{(2)}$

**V.S. Gerdjikov,** Ufa Mathematical Journal. Vol. 13:2, 121–140, (2021)

#### On the Relation of the Lunar Recession and the Length-of-the-Day

Andre M. Maeder**, Vesselin G Gueorguiev,** Astrophysics and Space Science, vol. 366, 101 (2021)

#### Multicomponent Fokas-Lenells equations on Hermitian symmetric spaces

**Vladimir S. Gerdjikov** and Rossen I. Ivanov, 2021, Nonlinearity, **34 ** 939

#### The A-body exactly solvable pairing interaction from an engineering point of view

**Vesselin G Gueorguiev,** AIP Conference Proceedings 2302, 100004 (2020)

#### Matter Density in a Simple Core-Plus-Particle Model

** S. Mishev **and V. V. Voronov**, **Bulletin of the Russian Academy of Sciences: Physics, 2020, Vol. 84, No. 12, p. 1554

#### Revisiting the Cosmological Constant Problem within Quantum Cosmology

**Vesselin G Gueorguiev **and** **Andre Maeder, Universe 2020, 6(8), 108

#### On Asymptotic Dynamical Regimes of Manakov $N$-soliton Trains in Adiabatic Approximation

**Vladimir S Gerdjikov **and Michail D Todorov**,** J. Sib. Fed. Univ. Math. Phys., 2020, Volume 13, Issue 6, Pages 678–693

#### Towards a microscopic theory of neutron star matter

**S. Mishev **and M. Savova, AIP Conference Proceedings 2302 (1), 100006

#### Recursion operators and hierarchies of $\text{mKdV}$ equations related to the Kac–Moody algebras $D_4^{(1)}, D_4^{(2)}$, and $D_4^{(3)}$

**Gerdjikov, V. S.**, Stefanov, A. A., Iliev, I. D., Boyadjiev, G. P., Smirnov, A. O., Matveev, V. B., and Pavlov, M. V., Theoretical and Mathematical Physics, 204(3), 1110–1129

#### Scale-Invariant Dynamics of Galaxies, MOND, Dark Matter, and the Dwarf Spheroidals

Andre Maeder, **Vesselin G.Gueorguiev,** Monthly Notices of the Royal Astronomical Society, December 2019

#### Riemann-Hilbert problem, integrability and reductions

**Vladimir S. Gerdjikov, **Rossen I. Ivanov and Aleksander A. Stefanov**,** Journal of Geometric Mechanics, June 2019, 11(2): 167-185.

#### On the Integrability of Ablowitz-Ladik models with local and nonlocal reductions

**Vladimir S. Gerdjikov****, **Journal of Physics: Conference Series, Volume 1205, conference 1

#### The growth of the density fluctuations in the scale-invariant vacuum theory

Andre Maeder, **Vesselin G.Gueorguiev,** Physics of the Dark Universe, Volume 25, September 2019

#### New Mathematical Models of GPS Intersatellite Communications in the Gravitational Field of the Near-Earth Space

**Bogdan G. Dimitrov**, AIP Conference Proceedings **2075**, 040007 (2019)

#### Subcycle dynamics of electron–hole pairs and high-harmonic generation in bulk diamond subjected to intense femtosecond laser pulse

**Tzveta Apostolova**, Boyan Obreshkov, Opt Quant Electron (2018) 50: 408

#### High harmonic generation from bulk diamond driven by intense femtosecond laser pulse

**Tzveta Apostolova**, Boyan Obreshkov, Diam. Rel. Mat, **82**, 165, (2018)

#### O(100 MeV) All-Sky Maps and Search for Point-Like Dark Matter Sources

**V. Kozhuharov**, G. Vankova-Kirilova, S. Lalkovski, V. Bozhilov, M. Vazharova, Bulg. J. Phys. 45 (2018) 76–80

#### On Integrable Wave Interactions and Lax pairs on symmetric spaces

**Vladimir Gerdjikov**, Rossen Ivanov and Georgi Grahovski, Wave Motion 71 53–70 (2017)

#### N-soliton interactions: Effects of linear and nonlinear gain and loss

R. Carretero-González, **V. S. Gerdjikov**, and M. D. Todorov, AIP Conference Proceedings **1895**, 040001 (2017)

#### Kulish–Sklyanin-type models: Integrability and reductions

**V. S. Gerdjikov**, Theoretical and Mathematical Physics, August 2017, Volume 192, Issue 2, pp 1097–1114

#### On the volatility of nihonium (Nh, Z = 113)

Nikolay V. Aksenov, Patrick Steinegger, Farid Sh. Abdullin, Yury V. Albin**, Gospodin A. Bozhikov**,…, The European Physical Journal A, 2017, 53:158.

#### The Interacting Quasiparticle–Phonon Picture and Odd–Even Nuclei. Overview and Perspectives.

**S. Mishev**, V. V. Voronov, Physics of Atomic Nuclei, 2016, Vol. 79, No. 6, pp. 851–857.

#### Ultrafast photoionization and excitation of surface-plasmon-polaritons on diamond surfaces

**Tzveta Apostolova**, B. D. Obreshkov, A.A. Ionin, S.I. Kudryashov, *et al*, Applied Surface Science Volume 427, Part A, 1 January 2018, Pages 334-343

#### New Examples of Z2-symmetric Spinor Models in Two Dimensions

**Vladimir S. Gerdjikov** , AIP Conf. Proc. 1796 (2016)

#### Adiabatic interactions of Manakov solitons—Effects of cross-modulation

**V.S. Gerdjikov** , M.D. Todorov, A.V. Kyuldjiev, Wave Motion **71** 71– 81 (2017)

#### Interaction of elemental mercury with selenium surfaces: model experiments for investigations of superheavy elements copernicium and flerovium

N. M. Chiera, N. V. Aksenov, Y. V. Albin, **G. A. Bozhikov **, …, Journal of Radioanalytical and Nuclear Chemistry (2016)

#### On integrable wave interactions and Lax pairs on symmetric spaces

**Vladimir S. Gerdjikov**, Georgi G. Grahovski and Rossen I. Ivanov, Wave Motion, 2016

#### Investigating the pygmy dipole resonance using beta decay

M. Scheck, **S. Mishev**, V. Yu. Ponomarev, …, Phys. Rev. Lett. **116**, 132501

#### Photoionization of monocrystalline CVD diamond irradiated with ultrashort intense laser pulse

Stefano Lagomarsino, … , **Tzveta Apostolova**, …, Phys. Rev. B **93**, 085128

#### Magnetic moments in odd-A Cd isotopes and coupling of particles with zero-point vibrations

**S. Mishev** and V. V. Voronov, Phys. Rev. C **92**, 044329

## About the Institute for Advanced Physical Studies

The **Institute for Advanced Physical Studies **is a research center for studies in physics and related fields. It is a scientific institution which performs its research and educational activities independently or in partnership with other academic institutions. Progress in science often happens at the border of different specialized areas of competence. Hense IAPS performs interdisciplinary research on topics which borrow ideas from physics, chemistry and computer science. This is achieved in close collaboration between different research groups and by joining efforts with external to IAPS organizations. The obtained results from some investigations in research areas as mathematical physics, nuclear physics, machine learning and others are intended for implementation in the design and fabrication of practical devices in partnership with technological companies.

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