
An algorithm of wave equation datuming
The article describes the wave equation datuming is the procedure in seismic exploration that used for removing of the influence of Weathering Velosity Zone. It means transform the wave field at free boundary to some level below that Zone. Numerical procedure for solving this problem ...

Decay of a weak gap and wave propagation in a nonlocal environment with a source
A spatially nonlocal fourthorder wave equation with a source is considered. The results are set out in terms of the heat transfer theory. The temperature derivative of the source function is positive (a technical source) or negative (a source in biological tissue). The wave velocity ...

Search on a regime of processing of leaky wave antenna
An expression for the radiated power through the slit of the constructed system leaky wave antenna is obtained. The equation of balance of power in the waveguide is evolved. The loss of the wave power from the waveguide through the slit is taken into account. To calculate the damping factor, the equation is obtained. The possibility of an approximate simplification ...

A method to construct the projection operators for the Poincare and Rossby waves in the atmosphere
... для волн Россби и Пуанкаре //Вестник Российского государственного университета им. И. Канта. 2007. Вып. 4. С. 76—79.
Lebedkina А., Karpov I., Leble S.
planetary waves, projection operators, atmosphere dynamics equations.
2125

Employment of the method of equivalent circuits to investigate a leaky wave antenna
The resistivecapacitive electric circuit is obtained to describe the processes of the wave transmission and of radiation in the antenna of leaky wave. The equivalent electric parameters of the circuit are estimated. The system of equations is composed to describe the electric processes in the equivalent circuit To study the balance of the wave power in the antenna of leaky wave, the calculations are performed.
1.
Воскресенский Д.
И., Гостюхин В.
...

An impacton solution for the vortex filament
... 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 ; Heidelberg, 1991.
5. Dubard P., Gaillard P., Klein C., Matveev V. On multirogue 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 LandauLifshitz equation, the NLS, and the magnetic rogue wave as a byproduct of two colliding regular “positons”,...

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.
2. Ньюэлл А. Солитоны в математике ...

The first Stokes method in the problem of waves on a liquid surface of finite depth
... and dynamic conditions are simplified. The Bernoulli integral contributes to the simplification of the dynamic condition. An integral operator of convolution type is introduced. Four functions of one variable are determined, the main of which is the wave level. One linear and three quadratic equations are obtained. The zero mean conditions for the level and the relative function of the current, as well as the condition of orthogonally of the wave level and the fundamental harmonic, are determined and validated. Like Stokes did, we seek ...

Generalized Evans function for continuous spectrum
... instability of viscous shock profiles // Comm. Pure Appl. Math. 1998. 51 (7). P. 797—855.
8.
Sandstede B.
Stability of travelling waves // Handbook of dynamical systems. Amsterdam, 2002. Vol. 2. P. 983—1055.
9.
BenzoniGavage S.
Stability of semidiscrete ... ... Differential Equations. 2002. 14(3). P. 613—674.
10.
Coombes S., Owen M.
R.
Evans functions for integral neural field equations with Heaviside firing rate function // SIAM J. Appl. Dyn. Syst. 2004. 3 (4). P. 574—600.
11.
Gesztesy
F
.
, Latushkin
...

On the relations between the integrable hierarchies
... гамильтонианов // ТМФ. 1987. Т. 70, № 1. С. 146—153.
8. Yurov A. V. Closed dressing chains of D = 1 and D = 2 Toda lattice // Dynamics of PDE. 2004. Vol. 1, № 2. P. 85–89.
9. Dubard P., Gaillard P., Klein C., Matveev V. On multirogue wave solutionsof the NLS equation and positon solutions of the KdV equation // Eur. Phys. J. Spec. Top. 2010. Vol. 185. P. 247–258.
10. Yurova A. A. A hidden life of Peregrine's soliton: rouge waves in the oceanic depths // Int. J. Geom. Methods Mod. Phys. 2014. Vol. 11. Р....

Nonlinear dissipative structures as model of twodimensional optic solitons
... onedimensional limit. Localized nonsingular solutions in both spatial dimensions and anti ”blowup” solutions are constructed.
1. Boiti M., Leon J. J.P., Pempinelli F. Spectral transform for a two spatial dimension extension of the dispersive long wave equation // Inverse Problems. 1987. Vol. 3. P. 371.
2. Гарагаш Т. И. О модификации теста Пенлеве для систем нелинейных дифференциальных уравнений в частных производных ...

Oscillations, resonances and waves in a nonlocal medium with sources
New exact solutions are obtained for a spatially nonlocal wave equation with sources. The results are set out in the terms of the heat transfer theory. The nonlocality of the problem is determined by the value of the fourth spatial derivative. We considered two types of volume energy sources which are alternating ...

1+1Dimensional Yang — Mills Equations and Mass via Quasiclassical Correction to Action
... de Vries Equation // Teor. Math. Phys. 1975. Vol. 23. P. 51—68.
20. Leble S., Terent'ev I. Model of Elementary Particles Theory in 6Dimensional Space with Curvature // Theor. Math. Phys. 1973. Vol. 16. P. 291—302.
Leble S. B.
Yang — Mills equations, nonlinear plane wave, Green function diagonal
2746

The computer simulation of tsunami wave breaking against a steep shore
... as an integral continuous environment. At the waterair surface, the density changes abruptly from ρ = ρwater = 1000 kg/m3 for water to ρ = ρair = 1.2 kg/m3 for air. The solution to model equations is generalised. The mathematical mechanism
of equation solving suggests automatic smoothing of density in the area of wave breaking and formation of a thin fluid layer with an intermediate density.
1. Пелиновский Е. Н. Гидродинамика волн цунами. Н. Новгород, 1996.
2. Зайцев А. И., Костенко И. С., Чернов ...

Numerical model operation of the mass transfer of the disperse phase of aerosol in nonlinear wave fields for axisymmetric quasithreedimensional geometrical statement
... force and force of the attached masses, as well as heat exchange intercomponent. Within the system of the equations of mathematical model, eight equations were solved by means of the final and differential algorithm implemented as a program code. The equations of mathematical model were complemented with the corresponding entry and boundary conditions. Having obtained the numerical model, the author studies the regularities of the redistribution of the aerosol dispersed component density of in wave fields. The research reveals the influence of droplet size on the distribution of the dispersed component of a multiphase medium in the process of resonant oscillations in pipes.
1. Нигматулин Р. И. Динамика многофазных ...

Investigation of the receiver path of the leaky wave antenna by the method of equivalent circuits
The equivalent circuit is developed to describe the electrical processes in the receiver path of the leaky wave antenna. The line has the slottype radiator which is considered as a resistivecapacitive nonuniformity. The slot in the waveguide wall is considered as nonuniformity of resistivecapacitive type. The system of equations is composed and solved to investigate the balance of power in the receiver path and found the electrical parameters of the scheme.
1. Захаров В. Е., Котова Д. С. Применение метода эквивалентных ...

Closed lattice of Toda equations
... 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 LandauLifshitz Equation, the NLS, and the Magnetic Rogue Wave as a ByProduct of Two Colliding Regular «Positons» // Symmetry. 2018. Vol. 10, iss. 4, 82. arXiv: 1701.04903.
3. Свинолупов С. И., Ямилов Р. И. Явные автопреобразования для многополевых ...

Numerical solving the problem of detecting of ultraweak diffractors in a complex acoustical medium
... prospecting of fracturecavernous reservoirs in the Bazhen formation of the Salym oilfield // Extended abstract. 74th EAGE Conference & Exhibition. Copenhagen, 2012. Y028.
Danilin A., Erokhin G., Kremlev A., Pestov L., Salomons B., ten Kroode F.
acoustic equation, redatuming of wave field, common scattering point, diffractor, numerical modeling
115119

System analysis and methodology for developing a software product of a mathematical model of physical processes for the aviation industry
... 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 LandauLifshitz Equation, the NLS, and the Magnetic Rogue Wave as a ByProduct of Two Colliding Regular «Positons» // Symmetry. 2018. Vol. 10, iss. 4, 82. arXiv: 1701.04903.
3. Свинолупов С. И., Ямилов Р. И. Явные автопреобразования для многополевых ...

The bottom gravitational stream on inclined bottom in Ecmann approximation
The article examines the deduction and the scope of the equation describing the dynamics of a thin layer of liquid over inclined bottom
in the framework of Eckman’s approach and obtains exact solutions in the form of travelling waves. The author makes a conclusion this equation
is nonintegrable on the basis of Painlevé analysis.
1.
Nof D., Paldor N., Van Golder S. Abyssal Gyres
// Geophys. Astrophys. Fluid Dynamics. 1991. V. 58. P. 137—196.
2.
Weatherly G.
L., Kelley E.
A. Ir
. Two cold bottom ...

Semigeodetic transformation of temporary images
... dependent images (time cuts, time migration), in which time plays the role of the «depth» variable. If in some approximation the wave propagation velocity is known, these images can be transformed into the true ones. In this article for this purpose it is ... ... Риманова геометрия в целом. М., 1971.
2. WonKi Jeong, Whitaker R. T. A Fast Iterative Method for Eikonal Equations. //SIAM Journal on Scientific Computing. 2008. Vol. 30, № 5. P. 2512—2534.
3. Computation of MULTIVALUED TRAVELTIMES ...

An interpolation of a supervision system by RTD method
... Вып. 10. С. 115—119.
6. Collino F., Tsogka C. Application of PML absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media // Geophysics. 2001. № 66(1). P. 294–307.
Danilin A., Erokhin G., Pestov L.
wave equation datuming, numerical modeling, RTD.
147152

The altitude influence of the transmitter location on the formation of the short radio wave traces in the ionosphere
The article presents calculations for ray traces and the absorption of short radio waves in the ionosphere. The multijump traces are examined
on the basis of the altitude of the transmitter and geophysical conditions.... .... СПб., 2007. С. 95.
Zakharov V. E., Bakhar E. V.
radiowave propagation, ionosphere, numerical experiment,
eikonal equation.
5864
10.5922/222320952009412

Joint modeling of elastic and acoustic waves in the Arctic
Numerical solutions of seismic prospecting problems in the Arctic is presented. Results of numerical modeling of the explosive impact on the iceberg and earthquake impact on the oil storage are considered as well. The complete system of equations describing the state elastic body and a system of equations describing the acoustic field are solved using gridcharacteristic method, the contact condition between the liquid and the solid is used on the border
1. Etter P. C. Underwater acoustic ...

Numerical solution of elasticacoustic problems with the help of gridcharacteristic method
... управления : сб. науч. тр. 2011. С. 104—111.
11. Roe P. L. CharacteristicBased Schemes for the Euler Equations // Annual Review of Fluid Mechanics. 1986. № 18. P. 337–365.
12. Новиков Ю. Н., Гажула С. В. Особенности ... ... 1—19.
Favorskaya A., Petrov D., Khokhlov N., Petrov I.
gridcharacteristic method, the mechanics of deformable solids, wave problems in coupled elasticacoustic media, marine seismology, fluidfilled crack, structural acoustics
712

The dynamics of air temperature extrema as an indicator of climate warming in the Central Tuvan basin of the Tyva Republic
... described through unusual biquadrate polynomials. The minimum peak was observed in 1989—1992, afterwards a steep increase followed. The authors examine the possibility of an increase in the frequency of air temperature anomalies in the form of heat waves. The patterns of dynamics of anomalies in the absolute air temperature minima is accurately formalized through linear equations. The authors identify inconsistencies in the patterns of dynamics of anomalies in the absolute air temperature minima and maxima presented by different weather stations: the rate of increase in absolute minima is more than three times that of ...

Numerical recovering an absorption coefficient by BCmethod
...
5. Pestov L. N., Bolgova V. M., Danilin A. N. Numerical recovering of a speed of sound by the BCmethod in 3D //Acoustical Imaging. Springer. 2012. Vol. 31, N. 8, P. 508.
6. Pestov L. N. Inverse problem of determining absorption coefficient in the wave equation by BC method // Journal of inverse and illposed problems. 2012. Vol. 20,N. 1. P. 103—110.
FilatovaV.
multidimensional inverse dynamical problem, boundary control
method, numerical solving inverse dynamical problems.
153159

Program realization of calculation method of radio signal attenuation in atmospheric gases for satellite communications
... Formula and Refractivity Data : recommendation ITUR P.45313 (12/2017).
8. Smith E. K., Weintraub S. The constants in the equation for atmospheric refractive index at radio frequencies // Proc. I. R. E. 1953. Vol. 41. P. 1035—1037.
9. Cadeddu M.... ... S. A. et al. Effect of the Oxygen LineParameter Modeling on Temperature and Humidity Retrievals from GroundBased Microwave Radiometers // IEEE Trans. Geosci. Remote Sens. 2007. Vol. 45, iss. 7. P. 2216—2223.
Zhaharov A. I., Kuvalkin E. S.
...

A calculation of the diffusion coefficient of solids in watercourses
The results of the solution of the integral equations of motion numerical method presented in dimensionless form related to the relative inertia of the particles and the ... ... T.J., Shi F. et al. Hydrodynamic and sediment transport modeling of New River Inlet (NC) under the interaction of tides and waves // Journal of Geophysical Research. 2015. Vol. 120, № 6. P. 4028—4047.
8. Наумов В. А. Математическое ...

The dynamics of chiral cosmological fields in the canonical phantom model
... remains constant (as seen in the model of the "new" inflation). We present a general algorithm for solving dynamic equations on chiral (scalar) fields and examine special cases when it is possible to find a solution in elementary functions.
... ... 2008. Vol. 14. P. 163.
Fomin I. V., Chervon S. V., Krukov S. V.
inflation, scalar field, exact solutions, gravitational waves
7480

Measurement of liver volume using imaging techniques of various modalities
.... Vol. 31. P. 31—36.
13. Bulut M. D., Özdemir H., Bora A. et al. Comparison of computed tomography densitometry and shear wave elastography velocity measurements for evaluation of the liver volume in the nonalcoholic fatty liver disease // Int. J. ... ... 30. P. 296—306.
17. Childs J. T., Esterman A. J., Thoirs K. A. The development of a practical and uncomplicated predictive equation to determine liver volume from simple linear ultrasound measurements of the liver // Radiography. 2016. № 22. Р. 125—130....