On the relations between the integrable hierarchies
... 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
Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric
... two, by 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 ...
The dynamics of localized pulse as solutions of Davey — Stewartson II equations
... World', World Scientific. 1989. №
1. P. 216—228.
8.
(Charles) Li Ya., Yurov A.
V.
Lax pairs and Darboux transformations for Euler equations // Studies in Applied Mathematics. 2003. Т. 111, №
1. P. 101—113.
9.
Yurov A.
V., Yurova A.
A.
One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid // Theoretical and Mathematical Physics. 2006. Т. 147, №
1. P. 501—508.
10.
Bordag M., Yurov A.
Spontaneous symmetry ...
Exulton-like solution and two phase of collapse of an intrusive lens
...
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 V.
A.
Novel Exact Solutions Describing the Evolution of Lenses Frontal Vorticity. Oceanic Fronts and Related Phenomena. Konstantin Fedorov Memorial Sympozium. 18—22 May 1998, Pushkin, St.-Petersburg. Abstracts of the reports....
Finite action principle and non-singular cosmological models
... action and 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
Worlds «Phoenix»
... 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
On the question of extended two-dimensional non-relativistic supersymmetry
... 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, 2D-Hamiltonian, extended supersymmetry, iterations
68-78
When to expect the unexpected singularities: the anthropic principle and the dark energy universe
... 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
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
Closed lattice of Toda equations
... Теоретическая и математическая физика. 1996. Т. 109, № 3. С. 338—346.
20. Yurov V. A., Yurov A. V. The Cauchy Problem for the Generalized Hyperbolic Novikov — Veselov Equation. 2015. arXiv:1509.06078 [nlin. SI].
Yurov A. V., Yurova A. A., Chirikov R. V.
dressing Toda chains, Darboux transformation, Schlesinger transformation
54-72
Two-dimensional supersymmetric quantum mechanics and the Moutard transformations
... Теоретическая и 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
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
... Math. Theor. 2010. № 43. Р. 434002.
10. Faddeev L. D. The new life of complete integrability // Phys. Usp. 56. 2013. No. 5. Р. 465—472.
11. Ньюэлл А. Солитоны в математике и физике. М., 1989.
Chirikov R., Yurova A
Lax pair, (1 + 3) nonlinear partial differential equation, exact solution, integrable equation.
11-18
The bottom gravitational stream on inclined bottom in Ecmann approximation
...
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 current, boundary layer approximation, Painlevé criterion.
42-48
10.5922/2223-2095-2009-4-9