A Lax pair for the (1+3) nonlinear equation
Integral systems with four independent variables have special signifi-cance in mathematics and physics. The discovery of inverse scattering method played an important role in reconsidering the place of integrable systems of nonlinear partial differential equations in mathematical sciences. The search for a systematic approach to developing exact solutions of such systems has become one of the main problems in the theory of integrable systems.
1. Fokas A. S. Symmetries and ...
Possible manifestations of the quantum Hawking radiation effect in nonlinear optics
The analogy between solitons and black holes is considered for self-induced transparency. In nonlinear optics Hawking radiation can exist. This effect in particular leads to decreasing of soliton energy with time.
Astashenok A. V., Teplyakov A. S.
nonlinear optics, black holes, solitons, Hawking temperature, sine-Gordon equation, self-induced ...
Portfolio optimization in the case of an exponential utility function and in the presence of an illiquid asset
... an exogenous random moment with a prescribed liquidation time distribution. We assume that the investor chooses an exponential utility function. Study of optimization problems with three assets including an illiquid asset leads to three-dimensional nonlinear Hamilton — Jacobi — Bellman (HJB) equations.
It is well known that the exponential utility function is connected with the HARA utility function through a limiting procedure if the parameter of the HARA utility function is going to infinity....
The first Stokes method in the problem of waves on a liquid surface of finite depth
An approximate solution of the problem of the structure and characteristics of a stationary nonlinear periodic wave on the surface of a liquid of finite depth has been obtained. The solution is as follows: first, the kinematic and dynamic conditions are simplified. The Bernoulli integral contributes to the simplification of the dynamic condition....
1+1-Dimensional Yang — Mills Equations and Mass via Quasiclassical Correction to Action
Two-dimensional Yang — Mills models in a pseudo-euclidean space are considered from a point of view of a class of nonlinear Klein — Gordon — Fock equations. It is shown that the Nahm reduction does not work, another, novel choice is proposed and investigated. A quasiclassical quantization of the models is based on Feynmann — Maslov path integral construction ...
Numerical model operation of the mass transfer of the disperse phase of aerosol in nonlinear wave fields for axisymmetric quasithree-dimensional geometrical statement
... Губайдуллин Д. А., Тукмаков Д. А. Ударно-волновой разлет газовзвесей // Доклады академии наук. 2016. Т. 466, № 4. С. 418—421.
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18. Тукмаков А. Л. Зависимость механизма дрейфа твердой частицы в нелинейном волновом ...
Closed lattice of Toda equations
... Т. 98, № 2. С. 207—219.
4. Адлер В. Э., Шабат А. Б. Об одном классе цепочек Тоды // Теоретическая и математическая физика. 1997. Т. 111, № 3. С. 323—334.
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6. Шабат А. Б., Ямилов Р. И. Симметрии нелинейных цепочек // Алгебра ...
System analysis and methodology for developing a software product of a mathematical model of physical processes for the aviation industry
... Т. 98, № 2. С. 207—219.
4. Адлер В. Э., Шабат А. Б. Об одном классе цепочек Тоды // Теоретическая и математическая физика. 1997. Т. 111, № 3. С. 323—334.
5. Levi D. Nonlinear Differential Difference Equations as Bäcklund Transformations // J. Phys. A: Math. Gen. 1981. Vol. 14, iss. 5. P. 1083—1098.
6. Шабат А. Б., Ямилов Р. И. Симметрии нелинейных цепочек // Алгебра ...
An impacton solution for the vortex filament
A new way of construction of exact solutions describing the shape and the dynamics of vortex filaments is described. The new method is based on application of a binary Darboux transformation to the solutions of the nonlinear Schrödinger equation. A new type of solutions is constructed: the impacton. The explicit form of the curvature and torsion of corresponding vortex filament are calculated.
1. Валландер С. В. Лекции по гидроаэромеханике....
Use of the Z-scheme in an Rayleigh-Taylor instability model
A nonlinear finite-differential scheme for solution of convection-diffusion equation in the field of models of Rayleigh-Taylor instability in the equatorial region of Earth ionosphere is considered. For test tasks monotony of the constructed scheme is in ...
Multiple-factor mathematical models of heterogeneous metasystems
Nonlinear mathematical modeling of physical processes in heterogeneous metasystems with bubble or a solid-state filler allows to receive the parities convenient for numerical calculations and comparison of theoretical results with the data of experiments....
The real analog of the NS system and Viete type polynomials
The article considers the real analog of the Schrodinger nonlinear system of equations (NSE). The generated Lax pair reveals to be an invariant
for Schlesinger transformation, with the help of which a set of solutions expressed through Viète type polynomials has been founded.
1.
Дидковский П....
About ordinary-unordinary pulse spreading under the synchronism conditions
The nonlinear process dynamic during the signal spreading in the optical lines is considered. The analysis of analytical solves of the equation system that obtained by consistent iterations and stationary phases method show about the "mass center" ...
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 ...
Levels of context: how textual analysis becomes discourse analysis: the case of Internet lifestyle media
....22944.
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Blommaert, J., 2005. Discourse: A Critical Introduction. Cambridge.
Blommaert, J., 2015. Meaning as a nonlinear effect: The birth of cool. AILA Review, 28, pp. 7—27,
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Boyd, M. S., 2014. (New) participatory framework on YouTube? Commenter interaction in US political speeches. Journal of Pragmatics, 72, pp. ...
The coasts we live in: can there be a single definition for a coastal zone?
... Science, no. 3, p. 5—7.
5. Small, C., Nicholls, R.J. 2003, A global analysis of human settlement in coastal zones, Journal of Coastal Research, vol. 19, no. 3, p. 584—599.
6. Barbier, E.B. et al. 2008, Coastal Ecosystem-Based Management with Nonlinear Ecological Functions and Values, Science, no. 319, p. 321—323. doi: http://dx.doi.org/10.1126/science.1150349.
7. Pak, A., Majd, F. 2011, Integrated coastal management plan in free trade zones, a case study, Ocean and Coastal Management,...
Development of automated study program “Detector of non-linear transitions” for data protection specialists distance learning
The article proposes ways to create automated training systems to improve the quality of training information security specialists in a remote format using the example of the training program «Nonlinear transition detector».
Sokhareva A. Y.
automated training program, software simulator, nonlinearity detector, Adobe Animate platform
20-25
A surprising tale of long-periodic spin oscillations in the synthetic antiferromagnets: some exact solutions
... particular, we demonstrate that in order to understand the aforementioned phenomenon it is essential to first properly model the collisions between the magnetic domains of different spin orientations ( and ). The resulting model comprised of a system of nonlinear differential equations is closely examined, after which we propose a simple analytical method of construction of its exact solutions. This method is shown to generate an infinite family of solutions associated with the degenerate hypergeometric ...
The development of dairy farming: forecasts and trends
... import substitution. The methodical basis of research is a set of methods of economic and mathematical modeling, including scenarios and their quantitative justification. Special attention is paid to the method of extrapolation modeling linear and nonlinear trends. The method of trend modeling has been supplemented by the method of expert assessment. The empirical basis of the forecast calculations was the assessment of trends in the development of agricultural producers during 2004—2017.
...
Application of the mathematical modelling and simulation methods to the study of didactic systems
... considers the application of mathematical and computer modeling methods for the study of didactic systems and various approaches to the construction of mathematical and computer models of the student. The following models are discussed: linear and nonlinear learning models; multicomponent model; models of assimilation and forgetting logically related and unrelated information; models that take into account the dependence of the degree of understanding on the speed of receipt of educational information....
Indirect translation: Main trends in practice and research
...
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Vanechkova, G., 1978. The interlinear: intermediate between author and translator. Československá rusistika, 23 (1), pp. 10—14.
Washbourne, K., 2013. Nonlinear Narratives: Paths of Indirect and Relay Translation. Meta, 58 (3), pp. 607. doi: 10.7202/1025054ar.
Witt, S., 2013. The Shorthand of Empire: ‘Podstrochnik’ Practices and the Making of Soviet Literature. Ab Imperio, 3, pp. 155—190.
...
Two-dimensional supersymmetric quantum mechanics and the Moutard transformations
... Верещагин М. Д., Верещагин С. Д., Юров А. В. Трехмерное преобразование Мутара // Математическое моделирование. 2006. Т. 18, № 5. С. 111—125.
10. Andrianov A. A., Ioffe M. V. Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations // Journal of Physics A: Mathematical and Theoretical. 2012. Vol. 45, № 50.
11. Березовой В. П., Пашнев А. И. Одномерная расширенная суперсимметричная ...
Fiscal policies stimulating private investment in the Special Economic Zone in the Kaliningrad region
... Leading Investment Banks / ed. by J. Viebig, T. Poddig, A. Varmaz. West Sussex, 2008.
18. Holyst J. A., Urbanowicz K. Chaos Control in Economic Model by Time-delayed Feedback Method // Physica A. 2000. Vol. 287, № 3—4. Р. 587—598.
19. Lorenz H. W. Nonlinear Dynamical Equations and Chaotic Economy. 2nd ed. Berlin, 1993.
20. Madden В. CFROI Valuation: A Total System Approach to Valuing the Firm. 1st ed. Butterworth-Heinemann, 1999.
21. Rawley T., Gup B. The Valuation Handbook: Valuation Techniques ...
An analysis of mathematical models of the deformation state of the outer shell of the roller one-way clutches
... one-way clutches. The analysis is carried out and recommendations about use of mathematical models for calculation of deformation of outer shell are made. It is established that at change of number of wedged rollers in a range from 3 to 7 there is a nonlinear decrease of value of a radial deformation, and in a range from 7 to 30 its increase.
1. Архангельский Г. В., Архангельский А. Г. Роликовые механизмы свободного хода. Одесса,...
On the relations between the integrable hierarchies
... 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
An influence of initial irregularities geometry on developments of the Rayleigh-Taylor instability in the equatorial F-layer of the ionosphere
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4. Ossakow S. L., Zalesak S. T., McDonald B. E., Chaturvedi P. K. Nonlinear equatorial spread-F: Dependence of altitude of the F-peak and bottomside background electron density gradient scale length // J. Geophys. Res. 1979. Vol. A84, № 1. P. 17—39.
5. Гершман Б. Н. Динамика ионосферной ...
Influence of solar and geomagnetic activity on the diurnal variations of NmF2 in winter in the middle latitudes
... P. 70—79.
4. Lei J., Liu L., Wan W. and Zhang S.-R. Variations of electron density based on long-term incoherent scatter radar and ionosonde measurements over Millstone Hill // Radio Sci. 2005. Vol. 40. RS2008.
5. Karpenko A. L., Manaenkova N. I. Nonlinear time series analysis of the ionospheric measurements // GeologisheRundshau. 1996. Vol. 85, № 1. P. 124—129.
6. Khmyrov G. M., Galkin I. A., Kozlov A. V. et al. Exploring digisondeionogram data with SAO-X and DIDBase // Proc. AIP Conf. Radio ...
A model of mid-scale irregularities of the low-latitude Earth ionosphere : evaluations of a non-linear correction method for the Z-scheme
A nonlinear correction of the finite-differential scheme for solution of the cross convection-diffusion equations within models of the Rayleigh — Taylor instability in the equatorial region of the Earth ionosphere is considered. For test problems the ...
Spatial distribution of mesoscale eddies in the Southern Ocean as an indicator of climate change and biological productivity of the ocean water
... 2008. № 5. C. 30—33.
9. Chelton D. B., Schlax M. G., Samelson R. M., de Szoeke R. A. Global observations of large oceanic eddies // Geophys. Res. Lett. 2007. № 34, L15606.
10. Chelton D. B., Schlax M. G., Samelson R. M. Global observations of nonlinear mesoscale eddies // Prog. Oceanogr. 2011. № 91. P. 167—216
11. Mesoscale eddies in Altimeter Observation of SSH. URL:
http://cioss.coas.oregonstate.edu/eddies/data.html
(дата обращения: 04.10.2013).
12. Orsi A., Whitworth T....
Development an Rayleigh-Taylor instability in the equatorial ionosphere from stochastic ionosphere irregularities
... Гершман Б. Н., Казимировский Э. С., Кокоуров В. Д., Чернобровкина H. A. Явление F-рассеяния в ионосфере. М., 1984.
3. Ossakow S. L., Zalesak S. T., McDonald B. E., Chaturvedi P. K. Nonlinear equatorial spread-F: Dependence of altitude of the F-peak and bottomside background electron density gradient scale length // J. Geophys. Res. 1979. Vol. A84, № 1. P. 17–39.
4. Кащенко Н. М., Мациевский С. В. Неустойчивость ...
The impact of water dynamics on biomass and the distribution of biological resources of the pelagic zone of the southern parts of the Atlantic and Pacific Oceans
.... 2013. Statistical Bulletin, Vol. 25, 2013. URL: http://www.ccamlr.org/en/document/data/ccamlr-statistical-bulletin-vol-25-data-files (дата обращения:11.04.2014).
12. Chelton D. B., Schlax M. G., Samelson R. M. Global observations of nonlinear mesoscale eddies // Prog. Oceanogr. 2011. Vol. 91. P. 167—216.
13. Global Marine Argo Atlas. URL: http://www.argo.ucsd.edu/Marine_Atlas.html (дата обращения: 11.04.2014).
14. Kasatkina S. M., Shnar V. N., Berezhinsky O. V....
A model for involving the expert community in implementing the educational policy: The case of a major educational programme
... the research, educa-tional, and other expert communities in implementing the state educational policy. The authors consider the organization of public and expert discussion of sample primary and secondary education programmes. The model describes the nonlinear space of expert interaction, including the key processes, forms, and results thereof.
1. Remorenko I. M., Burov V. V., Parfenov R. V. On Modern Technologies of Citi-zens’ Participation in Decision Formulation in the Sphere of Education // ...
The Abel equation and cosmological scalar field zeroes
... cosmological models // European Physical Journal. 2014. Vol. 20, Iss. 2. P. 106—115.
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5. Salopek D. S., Bond J. R. Nonlinear evolution of long-wavelength metric fluctuations in inflationary models // Phys. Rev. D. 1990. Vol. 42. P. 3936—3962.
6. Bazeia D., Santos M. J. dos, Ribeiro R. F. Solitons in systems of coupled scalar fields // Phys. Lett. A. 1995. Vol....
A high resolution model of the equatorial F-layer of ionosphere
... некогерентного рассеяния во время геомагнитных бурь 17—19 апреля 2002 года // Вестник МГТУ. 2005. Т. 8, № 1. С. 132—143.
2. Ossakow S. L., Zalesak S. T., McDonald B. E., Chaturvedi P. K. Nonlinear equato-rial spread-F: Dependence of altitude of the F-peak and bottomside background electron density gradient scale length // J. Geophys. Res. 1979. Vol. A84, № 1. P. 17—39.
3. Гершман Б. Н. Динамика ионосферной ...
One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid
... Press, 1992.
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10. Li Y., Yurov A. Lax pairs and Darboux transformations for Euler equastions.// Studies In Applied Math. 2003. Vol. 111. P. 101—103.
11. Ландау Л. Д., Лифшиц Е. М. Теоретическая физика....
A method to construct the projection operators for the Poincare and Rossby waves in the atmosphere
... proposed procedure allows to obtain the generalized form of the projection operator approach without the use of β-plane.
1. Педлоски Дж. Геофизическая гидродинамика. М., 1984.
2. Leble S. Waiveguide Propagation of Nonlinear Waves in Stratified Media. Leningrad, 1988.
3. Карпов И. В., Бессараб Ф. С., Лебле С. Б. Операторы проектирования для волн Россби и Пуанкаре //Вестник Российского ...
The problem of complex meaning nonlinear equation in quotiend derivatives
Several ways of finding of the exact solutions inherent in the equations with soliton like solutions were applied to the given equation. In particular the presence of property of Penleve in the equation was conducted, solutions in the form of numbers of Lorana, exact solutions in the form of running waves and solutions received by the method of Hiroty were found.
1. Абловиц М., Сигур Х. Солитоны и метод обратной задачи / пер. с англ. М., 1987. ...
Dependence of the equilibrium state from initial data in numerical global ocean climate model
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Results of simulating of instabilities of the equatorial F-layer of the ionosphere
... рэлей-тейлоровских структур экваториальной F-области // Геомагнетизм и аэрономия.
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Climate change in the dry steppe zone of the Tuva highland area
... данным) // Метеорология и гидрология. 2002. № 9. С. 75—86.
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Andreichik M. F.
climate warming, center of Asia, persistence of thermal properties, nonlinear connections, decreasing climate warming trend.
22-29
On interaction of a qubit with a fluctuating environment
... Systems // World Scientific. Singapure, 2000.
3. Shnirman A., Makhlin Y., Schoon G. Noise and Decoherence in quantum twolevel systems // Phys. Scr. 2002. Vol. 102, № 147.
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6. Gurvitz S. A. Measurements with a noninvasive detector and ...
Nonlinear dissipative structures as model of two-dimensional optic solitons
We study the Darboux and Laplace transformations for the Boiti — Leon — Pempinelli equations (BLP). These equations are the (1+2) generalization of the sinh-Gordon equation. In addition, the BLP equations reduced to the Burgers equation in a one-dimensional limit. Localized nonsingular solutions in both spatial dimensions and anti ”blow-up” solutions are constructed.
1. Boiti M., Leon J. J.-P., Pempinelli F. Spectral transform for a two spatial dimension extension of the dispersive long...
The dynamics of localized pulse as solutions of Davey — Stewartson II equations
.... 207—218.
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Darboux Transformation for Davey — Stewartson Type Equations // Proceedings of the IV International Workshop on Nonlinear and Turbulent Processes in Physics (Singapure). 1991. 2. P. 287—296.
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Darboux Transforms of Davey — Stewartson Type Equations and Solitons // Proceedings of Kiev Workshop 'Nonlinear World', World Scientific. 1989. №
...
Conceptual picture of the world and the specificity of its formation
In the article the concept is presented as a mental multimodal nonlinear product. Changing of the figure-background relations as a basic mechanism of the perception of any kind of information appears as a ground of the transformation of the meaning of the concept.
1.
Болдырев Н.
Н.
Когнитивная ...