The Abel equation and cosmological scalar field zeroes
This article presents a new simple analytical method that makes it possi-ble to design solutions in describing the dynamics of the universe near 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 ...
On the relations between the integrable hierarchies
... Бурова М. В. Низшие уравнения Кортевега — де Фриза и суперсимметричная структура уравнений синус-Гордон и Лиувилля // ТМФ. 1990. Т. 85, №3. С. 376—387.
6. Yurov A. Discrete symmetry's chains and links between integrable equationsm // Journal of Mathematical Physics. 2003. Vol. 44, № 3. P. 1183–1201.
7. Березовой В. П., Пашнев А. И. Суперсимметричная квантовая ...
ΛCDM-model with δ-function
... SFS-singularities. To 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....
New classes of exact solutions and consistent models of cosmological evolution
... Щиголев В. К. Новые классы точных решений в инфляционной космологии // Журнал экспериментальной и теоретической физики. 1998. Т. 114, вып. 2. С. 406—417.
2. Yurov A. V. Phantom Scalar Fields Result in Inflation Rather Than Big Rip // Eur. Phys. J. Plus. 2011. Vol. 126, iss. 12. 132.
3. Верещагин С. Д., Юров А. В. Преобразование Дарбу и точно решаемые космологические ...
Closed lattice of Toda equations
... 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 ...
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....
An impacton solution for the vortex filament
... Transformation 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., ...
Generalized Evans function for continuous spectrum
... spectrum of operator H and n λ λ , then EH(λ) is defined and is non-zero.
1.
Evans J.
W.
Nerve axon equations. Stability of the nerve impulse // Indiana Univ. Math. J. 1972/73. 22. P. 577—593.
2.
Leble S.
B., Salle M.
A., Yurov A.
V.
Darboux transforms for Davey — Stewartson equations and solitons in multidimensions // Inverse Problems. 1992. Vol. 8, №
2. P. 207—218.
3.
Bordag M., Yurov A.
Spontaneous symmetry breaking and reflectionless scattering ...
Finite action principle and non-singular cosmological models
... divergent scalar curvature. Such models form an extremely narrow subclass and look quite unnatural. However, our goal is to show that such cosmologies are possible in principle without conflicting with current physical paradigms.
Yurova A. A., Yurov V. A., Yurov A. V.
cosmology, Friedmann equations, singularity, action, Desitter model
97-113
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
When to expect the unexpected singularities: the anthropic principle and the dark energy universe
... unexpected singularities with a 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
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
The bottom gravitational stream on inclined bottom in Ecmann approximation
...
Жмур В.
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 ...
Exulton-like solution and two phase of collapse of an intrusive lens
We show that it is possible to use the exulton-like solutions of the nonlinear Schrődinger equation to simulation of the evolution of frontal vortical zone of an intrathermocline eddies in the process of its collapse.
1.
Гриценко В.
А., Юрова А.
А.
К вопросу о динамике вихревой нити // Интрузионные течения: теория и эксперимент. Калининград
, 1997.
С
. 102—111.
2.
Yurova A.
A., Gritsenko...
Cytokine-induced regulation of maturation, differentiation, and apoptotic death of immune memory T-lymphocytes
To maintain the normal state of the immune system, the processes of cell proliferation must be strictly regulated and balanced by the processes of apoptotic death to prevent the development of autoimmune and neoplastic reactions. T-lymphocytes of immune memory are under strict control from the immune system.
The role of γc-cytokines (IL-2, IL-7, and IL-15) in the regulation of maturation, differentiation, and apoptotic death of memory T-lymphocytes under in vitro cultivation conditions was evaluated...
The equilibrium states of a mtDNA mutagenesis: an analytics approach
... O. D. E. of third order. Next, we classify all possible solutions to that equation and derive an explicit general form of equilibrium (i. e. asymptotic) states of mtDNA as a function of a mitochondrial mutational spectrum.
Trufanova A. O., Yurov V. A.
mtDNA, mutagenesis, mutational spectrum, O. D. E., equilibrium states of DNA
90-96
Worlds «Phoenix»
... problem includes this universe, which exists ordered observers, exists for no more than a second, after which it is destroyed by a bubble of a new phase. The mass of the superheavy gravitino is estimated to be one more than Page's estimate.
Yurov V. A., Yurova A. A.
Boltzmann brain, phase transitions, cosmological constant, gravitino mass
80-85
Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections
... on the Darboux covariance of the heat equation and used to evaluate the correspondent functional integral in quasiclassical approximation. Quantum corrections to a kink-like solutions of Landau — Ginzburg model are calculated.
Leble S. B., Yurov A. V.
Darboux transformation, heat conduction equation, kink, functional integral
76-79
On the question of extended two-dimensional non-relativistic supersymmetry
An algorithm for realizing the algebra of two-dimensional supersymmetric quantum mechanics is described. The cases N = 2 and N = 3 are described in detail. The procedure for iterating Darboux transformations is considered separately. In contrast to the one-dimensional case, in which the problem is completely solved by Krum's formulas, iterations of two-dimensional Darboux transformations remain insufficiently understood.
Yurova A. A., Chirikov R. V.
supersymmetry, Darboux transform,...
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
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
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....
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
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 ...
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
Similarities and differences in curricula of a bachelor’s degree in oceanology at the universities in St Petersburg, Klaipeda, and Kaliningrad
... modernization of higher education in the light of the Bologna process and the entry of Russia into the WTO], Innovacionnoe obrazovanie i ekonomika [Innovative education and the economy], Vol. 1, no. 4, pp. 21—22.
Gritsenko Vladimir, Zhurakhovskaya Polina, Yurov Artyom
10.5922/2079-8555-2012-4-9
80-89
bachelors in oceanology, curriculum, competences, credits, compulsory and optional disciplines, expert evaluation, specialist training, sustainable regional development