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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 ...
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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....
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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 ...
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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
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An impacton solution for the vortex filament
... torsion of corresponding vortex filament are calculated.
1. Валландер С. В. Лекции по гидроаэромеханике. Л., 1978.
2. Голованов Н. Н. Геометрическое моделирование. М., 2002.
3. Yurova A. A. A hidden life of Peregrine's soliton: rouge waves in the oceanic depths // International Journal of Geometric Methods in Modern Physics. 2014. Vol. 11. P. 1450057:1–15.
4. Matveev V. B., Salle M. A. Darboux Transformation and Solitons. Berlin ...
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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
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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
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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
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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
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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
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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
