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• The Abel equation and cosmological scalar field zeroes

  ... the ze-roes of the scalar field potential. 1. Yurov V. А. An application of Abel’s equation of first kind to the search of solutions of Friedman’s equations // Вестник РГУ им. И. Канта. 2010. Т. 4. С. 43—47. 2. Yurov A. V., Yurov V. A. Friedman vs. Abel: A connection unraveled // Journal of Mathematical Physics. 2010. Vol. 51. P. 082503: 1—17. 3. Yurov A. V., Yaparova A. V., Yurov V. A. Application of Abel Equation of 1st kind to in ation analysis for non-exactly solvable ...

• On the relations between the integrable hierarchies

  ... in plane // Phys. Lett. A. 1999. Vol. 262. P. 445–452. 13. Leble S. B., Yurov A. V. Reduction Restrictions of Darboux and Laplace Transformations for the Goursat Equation // Journal of Mathematical Physics. 2002. Vol. 43, № 2. P. 1095–1105. 14. Yurov V. A., Yurov A. V. The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation. arXiv:1509.06078 [nlin.SI]. Yurov A., Yurova A. Lax pair, nonlinear partial differential equation, exact solution, integrable equation 48-53

• ΛCDM-model with δ-function

  ... estimate the characteristic SFS arrival time, we introduce a simplified model with the δ-function and use the weak anthropic principle. It is shown that our model predicts a rather soon appearance of the SFS-singularity. 1. Yurov A. V., Astashenok A. V., Yurov V. A. The Cosmological Models with Jump Discontinuities // Eur. Phys. J. C. 2018. Vol. 78, iss. 7, 542. URL: https://doi.org/10 . 1140/epjc/s10052-018-6020-9 (дата обращения: 11.02.2019). 2. Barrow J. D. Sudden Future Singularities ...

• New classes of exact solutions and consistent models of cosmological evolution

  ... А. В. Преобразование Дарбу и точно решаемые кос­мологические модели // Теоретическая и математическая физика. 2004. Т. 139, № 3. С. 405—422. 4. Yurov A. V., Yurov V. A. Nonsingular Brane Solutions via the Darboux Transformation // Phys. Rev. D. 2005. Vol. 72, iss. 2. 026003. 5. Andrianov A. A., Cannata F., Kamenshchik A. Y. Smooth Dynamical Crossing of the Phantom Divide Line of a Scalar Field in Simple Cosmological ...

• Closed lattice of Toda equations

  ... m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger transformations leads to closed dressing chains. 1. Matveev V. B., Salle M. A. Darboux Transformations and Solitons. Berlin ; Heidelberg, 1991. 2. Yurov A. V., Yurov V. A. The Landau-Lifshitz Equation, the NLS, and the Magnetic Rogue Wave as a By-Product of Two Colliding Regular «Positons» // Symmetry. 2018. Vol. 10, iss. 4, 82. arXiv: 1701.04903. 3. Свинолупов С. И., Ямилов Р. И. Явные ...

• The dynamics of localized pulse as solutions of Davey — Stewartson II equations

  ... структуре данных рассея­ния при возмущении двумерного солитона уравнения Деви — Стюартсона II // ТМФ. 1996. 106. 2. С . 200—208. 4.  Leble S.   B., Salle M.   A., Yurov A.   V.   Darboux transforms for Davey — Stewart­son equations and solitons in multidimensions // Inverse Problems. 1992. Т. 8, №   2. P. 207—218. 5.  Iidem. Darboux Transformation and Solitons in Multidimensions // Inverse Problems. 1992. 4....

• An impacton solution for the vortex filament

  ... and Solitons. Berlin ; Heidelberg, 1991. 5. Dubard P., Gaillard P., Klein C., Matveev V. On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation'// Eur. Phys. J. Spec. Top. 2010. Vol. 185. P. 247—258. 6. Yurov A. V., Yurov V. A. The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular “positons”, Arxiv: 1701.04903. 7. Lamb G. L. Elements of soliton theory // John Wiley & Sons. 1980. Chirikov R., Yurov V. vortex ...

• System analysis and methodology for developing a software product of a mathematical model of physical processes for the aviation industry

  ... m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger transformations leads to closed dressing chains. 1. Matveev V. B., Salle M. A. Darboux Transformations and Solitons. Berlin ; Heidelberg, 1991. 2. Yurov A. V., Yurov V. A. The Landau-Lifshitz Equation, the NLS, and the Magnetic Rogue Wave as a By-Product of Two Colliding Regular «Positons» // Symmetry. 2018. Vol. 10, iss. 4, 82. arXiv: 1701.04903. 3. Свинолупов С. И., Ямилов Р. И. Явные ...

• Generalized Evans function for continuous spectrum

  ... Fredholm determinants // Arch. Ration. Mech. Anal. 2007. 186 (3). P. 361—421. 12.  Deng J.,   Nii S. An infinite-dimensional Evans function the­ory for elliptic boundary value problems // J. Differential Equations. 2008. 244 (4). P . 753—765. Yurov V. Evans function, Zeta function, continuous spectrum. 8-12

• When to expect the unexpected singulari­ties: the anthropic principle and the dark energy universe

  ... fi­nite value of the scale factor. We analyze this situation using the example of SFS and get an unexpected result: the time of appearance of such features of the same order as the lifetime of the observed universe. Yurov A. V., Yurova A. A., Yurov V. A. dark energy, scalar fields, singularity, anthropic principle 59-67

• A surprising tale of long-periodic spin oscillations in the synthetic antiferromagnets: some exact solutions

  ... an infinite family of solutions associated with the degener­ate hypergeometric functions, parameterized by a natural number N. One of those solutions with N = 2 produces the magnetization function which perfect­ly fits the experimental data. Yurov V. A., Yurov A. V., Morgunov R. B. synthetic antiferromagnets, domain walls, Schrödinger equation, de­generate hypergeometric equation 79-89

• The bottom gravitational stream on inclined bottom in Ecmann approximation

  ... В., Назаренко Д.   В. Динамика тонкого слоя жидкости повышенной плотности у наклонного дна // Океанология. 1994. Т . 34, № 2. C. 193 — 200. 6.  Yurov A.   V., Yurov V.   A., Rudnev M . Lax pairs for higher-dimensional evolution PDE’s and a 3+1 dimensional integrable generalization of the Burgers equation // Proc. Amer. Math. Soc. 2007. 135. P. 731—741 [ArXiv:nlin. SI/0411061]. Yurova A. A. bottom ...

• Two-dimensional supersymmetric quantum mechanics and the Moutard transformations

  ... математическая физика. 1989. Т. 78, № 2. С. 289—296. 12. Юров А. В. Преобразование Дарбу в квантовой механике : учеб. пособие. Калининград, 1998. Yurova A. A., Yurov A. V., Yurov V. A. supersymmetry, Moutard transformation, quantum-mechanical Hamiltonian 81-95

• Nonlinear dissipative structures as model of two-dimensional optic solitons

  ... // ТМФ. 1994. Т. 100, № 3. С. 367—376. 3. Юров А. В. Сопряженные цепочки дискретных симметрий (1+2) нелинейных уравнений // ТМФ. 1999. Т. 119, № 3. С. 419–428. Yurov A., Shpilevoy A., Gritsenko V. dissipative structures, optic solitons, Darboux and Laplace transformations, Boiti — Leon — Pempinelli equations. 14-20

• Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric

  ... developing a Darboux (Moutard) transformation formalism for this problem. As an application, we construct some singular and nonsingular integrable potentials (dielectric permitivity) for the Maxwell equations in a 2D inhomogeneous medium. 1. Yurova A. A., Yurov A. V., Rudnev M. Darboux transformation for classical acoustic spectral problem // Interntional Journal of  Mathematics and Mathematical Sciences. 2003. № 49. P. 3123—3142. 2. Moutard Th. Sur la construction des equations de la forme 1 d2z (x, ...

• The qualimetrics methodology of academic staff certification

  ... Immanuel Kant Baltic Federal University in the framework of the project “The development of an independent qualimetrics system of assessing academic achievements of students and evaluating the academic staff” (the project team included V. V. Nordin, A. V. Yurov, N. V. Belkina, and K. L. Polupan). 1. Неволин В. Н. Актуальные вопросы государственной системы аттестации научных и научно-педагогических работников ...

• Generation of exact solutions of Fridman equations leading to Cardy–Verlinde formula by Darboux transformation

  ... to raneworld Cosmology and the Cardy—Verlinde Formula // Phys. Lett. 2002. B544. Р. 337—345. 6. Wang B., Abdalla A., Su R.—K. Relating Friedmann equation to Cardy formula in universes with cosmological constant // Ibid. 2001. P. 394—398. Yurov A., Yaparova A. Friedman equations, Cardy — Verlinde formula, Darboux transformation 85-90

• An application of the Abel equation of first type to the task of solving the Friedman equations

  ... Chervon S.   V., Zhuravlev V.   M., Shchigolev V.   K. New exact solutions in standard inflationary models // Phys. Lett. B398. (1997) 269—273. 9. Felder G., Frolov A. et al. Cosmology With Negative Potentials // Phys. Rev . D 66 (2002) 023507. Yurov V. A. Abel equation, Einstein-Friedmann equations, scalar field. 43-46

• A Lax pair for the (1+3) nonlinear equation

  ... equation // Theor. Math. Phys. 1988. № 72. P. 809—818. 6. Hirota R. The direct method in soliton theory. Cambridge, 2004. 7. Hopf E. The partial differential equation // Comm. Pure Appl. Math. 1950. P. 201—230. 8. Lеble S. В., Salle M. A., Yurov A. V. Darboux transforms for Davey-Stewartson equations and solitons in multidimensions // Inverse problems. 1992. № 4. P. 207—218. 9. Dubrovin B. A. Hamiltonian PDEs: deformations, integrability, solutions // J. Phys. A: Math. Theor. 2010. № 43....

• A qualimetric assessment of students’ academic achievements

  ... evaluation of students’ achievements developed within IKBFU’s project “The development of an independent qualimetric system of assessing academic achievements of students and evaluating the academic staff” (the project team included V.V. Nordin, A.V. Yurov, N.V. Belkina, and K.L. Polupan). The proposed methodology uses a comprehensive approach to identifying quality levels of individual components of student activities and the total of their ranking. A “tree of ranking” is used as a visual aid....

• One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid

  ... inverse scattering treatment for the flow of an ideal fluid in two dimensions // Nonlinearity. 1993. Vol. 6. P. 231. 10. Li Y., Yurov A. Lax pairs and Darboux transformations for Euler equastions.// Studies In Applied Math. 2003. Vol. 111. P. 101—103. ... ... интегрировании нелинейного уравнения Шредингера // ТМФ. 1988. № 1. C. 20, 74. Yrova A. A., Yrov A. V., Lukinyh I. V. two-dimensional incompressible fluid, exact solutions 12-17

• Inertial oscillations induced by the propagation of the Vis-tula Lagoon waters in the coastal zone of the Southeastern Baltic Sea

  ... зондирования Земли из космоса. 2014. № 11. С. 76—99. 11. Kahru M., Elmgren R. Multidecadal time series of satellite-detected accumulations of cyanobacteria in the Baltic Sea // Biogeosciences. 2014. № 11. P. 3619—3633. Yurov V., Yurova A. the confluence of fresh water, the Coriolis force, the intrusion of fresh water 51-65

• Are there Everett worlds?

  ... Успехи физических наук. 1998. № 168. С. 1017—1035. 21. Кадомцев Б. Б. Необратимость в квантовой механике // Успехи физиче­ских наук. 2003. № 173. С. 1221—1240. Yurov A. V., Yurova A. A., † Shpilevoi A. Ja «wave — pilot», Everett interpretation, limited path integral 96-108

• Similarities and differences in curricula of a bachelor’s degree in oceanology at the universities in St Petersburg, Klaipeda, and Kaliningrad

  ... 39. Sheremeta, S. V. 2009, Osnovnye napravlenija modernizacii vysshej shkoly v svete Bolonskogo processa i vstuplenie Rossii v VTO [The main directions of modernization of higher education in the light of the Bologna process and the entry of Russia into ... ... i ekonomika [Innovative education and the economy], Vol. 1, no. 4, pp. 21—22. Gritsenko Vladimir, Zhurakhovskaya Polina, Yurov Artyom bachelors in oceanology, curriculum, competences, credits, compulsory and optional disciplines, expert evaluation,...