537 research outputs found
Observable effects caused by vacuum pair creation in the field of high-power optical lasers
We consider the possibility of an experimental proof of vacuum e+e- pair
creation in the focus of two counter-propagating optical laser beams with an
intensity of the order of 10^20 - 10^22 W/cm^2. Our approach is based on the
collisionless kinetic equation for the distribution function of the e+e- pairs
with the source term for particle production. As a possible experimental signal
of vacuum pair production we consider the refraction of a high-frequency probe
laser beam by the produced e+e- plasma to be observed by an interference
filter. The generation of higher harmonics of the laser frequency in the
self-consistent electric field is also investigated.Comment: 7 pages, 7 figures; typos corrected, Eq.(16) corrected, reference
adde
From Coulomb excitation cross sections to non-resonant astrophysical rates in three-body systems: Ne case
Coulomb and nuclear dissociation of Ne on light and heavy targets are
studied theoretically. The dipole E1 strength function is determined in a broad
energy range including energies of astrophysical interest. Dependence of the
strength function on different parameters of the Ne ground state
structure and continuum dynamics is analyzed in a three-body model. The
discovered dependence plays an important role for studies of the strength
functions for the three-body E1 dissociation and radiative capture. The
constraints on the configuration mixing in Ne and on
-wave interaction in the O+ channel are imposed based on
experimental data for Ne Coulomb dissociation on heavy target.Comment: 12 pages, 13 figure
Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions
We apply the method of nonlinear steepest descent to compute the long-time
asymptotics of solutions of the Korteweg--de Vries equation which are decaying
perturbations of a quasi-periodic finite-gap background solution. We compute a
nonlinear dispersion relation and show that the plane splits into
soliton regions which are interlaced by oscillatory regions, where
is the number of spectral gaps.
In the soliton regions the solution is asymptotically given by a number of
solitons travelling on top of finite-gap solutions which are in the same
isospectral class as the background solution. In the oscillatory region the
solution can be described by a modulated finite-gap solution plus a decaying
dispersive tail. The modulation is given by phase transition on the isospectral
torus and is, together with the dispersive tail, explicitly characterized in
terms of Abelian integrals on the underlying hyperelliptic curve.Comment: 45 pages. arXiv admin note: substantial text overlap with
arXiv:0705.034
ΠΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΠ΅ Π²ΡΡΠΎΠΊΠΎΠ²ΡΠ·ΠΊΠΎΠΉ ΠΎΠ±Π²ΠΎΠ΄Π½Π΅Π½Π½ΠΎΠΉ Π½Π΅ΡΡΠΈ
Objectives. A characteristic feature of oil production is an increase in the volume of highviscosity bituminous oil. In Russia, technologies based on the use of water vapor are used for their extraction. The use of such technologies leads to a large amount of water in the product stream from the production well. Preparation of oil for processing involves its stabilization, desalination, and dewatering. Since the densities of the extracted oil and the water contained in it are comparable, traditional preparation schemes for processing of high-viscosity bituminous oil are ineffective. One of the possible solutions to the problem involving such oil in the fuel, energy, and petrochemical balance is to use a coking process at the first stage of its processing. This aim can be achieved by studying the influence of the process conditions of coking high-viscosity water-containing oil on the yield and characteristics of the resulting products.Methods. Coking of oil with a density of 1.0200 g/cm3 at 50 Β°C and with 18 wt % water content was carried out in a laboratory installation in a βcube.β A hollow cylindrical apparatus was used as a reactor and was placed in a furnace. The temperature and pressure in the reactor were maintained at 500β700 Β°C and 0.10β0.35 MPa, respectively.Results. An increase in the coking process temperature results in an increase in the amount of gaseous products, a decrease in the amount of the coke generated, and a higher dependence of the amount of liquid products on temperature with a maximum yield at 550β600 Β°C. The process temperature also affects the composition of liquid products. At a lower temperature, the amount of gasoline and kerosene fractions in liquid products is higher. With an increase in pressure, a higher amount of gaseous products, coke, and low-molecular-weight hydrocarbon fractions in liquid products could also be obtained. The characteristics of the coke produced in the coking process are similar to those of commercially produced grades. It is noted that when coking water-containing oil, up to 98% of the emulsion water goes with liquid products, and the remaining amount of water remains in the formed coke.Conclusions. Results showed the possible application of the coking process at the initial stage of processing high-viscosity bituminous oil. In this case, the dewatering stage is significantly simplified since the technological scheme of delayed coking allows the separation of the gasoline fraction from water. Β Π¦Π΅Π»ΠΈ. ΠΠΎΠ·ΡΠ°ΡΡΠ°Π½ΠΈΠ΅ Π΄ΠΎΠ»ΠΈ Π²ΡΡΠΎΠΊΠΎΠ²ΡΠ·ΠΊΠΎΠΉ ΠΈ Π±ΠΈΡΡΠΌΠΈΠ½ΠΎΠ·Π½ΠΎΠΉ Π½Π΅ΡΡΠΈ ΡΠ²Π»ΡΠ΅ΡΡΡ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠ½ΠΎΠΉ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΡΡ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ Π½Π΅ΡΡΠ΅Π΄ΠΎΠ±ΡΡΠΈ. Π Π ΠΎΡΡΠΈΠΈ ΠΏΡΠΈ Π΅Π΅ Π΄ΠΎΠ±ΡΡΠ΅ ΠΏΡΠΈΠΌΠ΅Π½ΡΡΡ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΠ΅ Π½Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ Π²ΠΎΠ΄ΡΠ½ΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°. ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠ°ΠΊΠΈΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ ΠΊ ΡΠΎΠΌΡ, ΡΡΠΎ ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ²ΡΠΉ ΠΏΠΎΡΠΎΠΊ, Π²ΡΡ
ΠΎΠ΄ΡΡΠΈΠΉ ΠΈΠ· Π΄ΠΎΠ±ΡΠ²Π°ΡΡΠ΅ΠΉ ΡΠΊΠ²Π°ΠΆΠΈΠ½Ρ, ΠΌΠΎΠΆΠ΅Ρ ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΡ Π±ΠΎΠ»ΡΡΠΎΠ΅ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ Π²ΠΎΠ΄Ρ. ΠΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠ° Π½Π΅ΡΡΠΈ ΠΊ ΠΏΠ΅ΡΠ΅ΡΠ°Π±ΠΎΡΠΊΠ΅ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅Ρ Π΅Π΅ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·Π°ΡΠΈΡ, ΠΎΠ±Π΅ΡΡΠΎΠ»ΠΈΠ²Π°Π½ΠΈΠ΅ ΠΈ ΠΎΠ±Π΅Π·Π²ΠΎΠΆΠΈΠ²Π°Π½ΠΈΠ΅. ΠΡΠ»Π΅Π΄ΡΡΠ²ΠΈΠ΅ ΡΠΎΠ³ΠΎ, ΡΡΠΎ ΠΏΠ»ΠΎΡΠ½ΠΎΡΡΡ Π΄ΠΎΠ±ΡΠ²Π°Π΅ΠΌΠΎΠΉ Π½Π΅ΡΡΠΈ ΠΈ ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΠ΅ΠΉΡΡ Π² Π½Π΅ΠΉ Π²ΠΎΠ΄Ρ ΡΠΎΠΏΠΎΡΡΠ°Π²ΠΈΠΌΡ, ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΡΠ΅ ΡΡ
Π΅ΠΌΡ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ ΠΊ ΠΏΠ΅ΡΠ΅ΡΠ°Π±ΠΎΡΠΊΠ΅ Π²ΡΡΠΎΠΊΠΎΠ²ΡΠ·ΠΊΠΎΠΉ ΠΈ Π±ΠΈΡΡΠΌΠΈΠ½ΠΎΠ·Π½ΠΎΠΉ Π½Π΅ΡΡΠΈ ΡΠ²Π»ΡΡΡΡΡ ΠΌΠ°Π»ΠΎΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΡΠΌΠΈ. ΠΠ΄Π½ΠΈΠΌ ΠΈΠ· Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ Π²ΠΎΠ²Π»Π΅ΡΠ΅Π½ΠΈΡ ΡΠ°ΠΊΠΎΠΉ Π½Π΅ΡΡΠΈ Π² ΡΠΎΠΏΠ»ΠΈΠ²Π½ΠΎ-ΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΈ Π½Π΅ΡΡΠ΅Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΠΉ Π±Π°Π»Π°Π½Ρ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ Π½Π° ΠΏΠ΅ΡΠ²ΠΎΠΌ ΡΡΠ°ΠΏΠ΅ Π΅Π΅ ΠΏΠ΅ΡΠ΅ΡΠ°Π±ΠΎΡΠΊΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΊΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΡ. ΠΠ»Ρ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΡΠΎΠΉ ΠΈΠ΄Π΅ΠΈ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎ ΠΈΠ·ΡΡΠΈΡΡ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΊΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΡ Π²ΡΡΠΎΠΊΠΎΠ²ΡΠ·ΠΊΠΎΠΉ ΠΎΠ±Π²ΠΎΠ΄Π½Π΅Π½Π½ΠΎΠΉ Π½Π΅ΡΡΠΈ Π½Π° Π²ΡΡ
ΠΎΠ΄ ΠΈ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΠΎΠ±ΡΠ°Π·ΡΡΡΠΈΡ
ΡΡ ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ².ΠΠ΅ΡΠΎΠ΄Ρ. ΠΠ±ΡΠ΅ΠΊΡΠΎΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π±ΡΠ»Π° Π½Π΅ΡΡΡ Ρ ΠΏΠ»ΠΎΡΠ½ΠΎΡΡΡΡ ΠΏΡΠΈ 50 Β°Π‘ 1.0200 Π³/ΡΠΌΒ³, ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΠ°Ρ 18 ΠΌΠ°Ρ. % Π²ΠΎΠ΄Ρ. ΠΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΠ»ΠΈ Π½Π° Π»Π°Π±ΠΎΡΠ°ΡΠΎΡΠ½ΠΎΠΉ ΡΡΡΠ°Π½ΠΎΠ²ΠΊΠ΅ Π² Β«ΠΊΡΠ±Π΅Β». Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ΅Π°ΠΊΡΠΎΡΠ° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π»ΡΡ ΠΏΡΡΡΠΎΡΠ΅Π»ΡΠΉ ΡΠΈΠ»ΠΈΠ½Π΄ΡΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°ΠΏΠΏΠ°ΡΠ°Ρ, ΡΠ°Π·ΠΌΠ΅ΡΠ°Π΅ΠΌΡΠΉ Π² ΠΏΠ΅ΡΠΈ. Π’Π΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ° Π² ΡΠ΅Π°ΠΊΡΠΎΡΠ΅ Π²Π°ΡΡΠΈΡΠΎΠ²Π°Π»Π°ΡΡ ΠΎΡ 500 Π΄ΠΎ 700 Β°Π‘, Π΄Π°Π²Π»Π΅Π½ΠΈΠ΅ ΠΎΡ 0.10 Π΄ΠΎ 0.35 ΠΠΠ°.Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. ΠΡΠΎΠ²Π΅Π΄Π΅Π½Π½ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ, ΡΡΠΎ ΠΏΡΠΈ Π²ΠΎΠ·ΡΠ°ΡΡΠ°Π½ΠΈΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΊΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΡ Π²ΡΡ
ΠΎΠ΄ Π³Π°Π·ΠΎΠΎΠ±ΡΠ°Π·Π½ΡΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ² ΡΠ²Π΅Π»ΠΈΡΠΈΠ²Π°Π΅ΡΡΡ, ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠΎΠΊΡΠ° ΡΠΌΠ΅Π½ΡΡΠ°Π΅ΡΡΡ, Π° Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΡ Π²ΡΡ
ΠΎΠ΄Π° ΠΆΠΈΠ΄ΠΊΠΈΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ² ΠΈΠΌΠ΅Π΅Ρ ΡΠΊΡΡΡΠ΅ΠΌΠ°Π»ΡΠ½ΡΠΉ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ Ρ ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌΠΎΠΌ Π² ΠΎΠ±Π»Π°ΡΡΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ 550β600 Β°C. Π’Π΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ° ΠΏΡΠΎΡΠ΅ΡΡΠ° Π²Π»ΠΈΡΠ΅Ρ Π½Π° ΡΠΎΡΡΠ°Π² ΠΆΠΈΠ΄ΠΊΠΈΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ². ΠΡΠΈ Π±ΠΎΠ»Π΅Π΅ Π½ΠΈΠ·ΠΊΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ΅ Π² ΠΆΠΈΠ΄ΠΊΠΈΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠ°Ρ
Π²ΡΡΠ΅ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅ Π±Π΅Π½Π·ΠΈΠ½ΠΎΠ²ΠΎΠΉ ΠΈ ΠΊΠ΅ΡΠΎΡΠΈΠ½ΠΎΠ²ΠΎΠΉ ΡΡΠ°ΠΊΡΠΈΠΉ. ΠΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ Π΄Π°Π²Π»Π΅Π½ΠΈΡ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ ΠΊ Π²ΠΎΠ·ΡΠ°ΡΡΠ°Π½ΠΈΡ Π²ΡΡ
ΠΎΠ΄Π° Π³Π°Π·ΠΎΠΎΠ±ΡΠ°Π·Π½ΡΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ², ΠΊΠΎΠΊΡΠ° ΠΈ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΡ Π² ΠΆΠΈΠ΄ΠΊΠΈΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠ°Ρ
Π½ΠΈΠ·ΠΊΠΎΠΌΠΎΠ»Π΅ΠΊΡΠ»ΡΡΠ½ΡΡ
ΡΡΠ°ΠΊΡΠΈΠΉ ΡΠ³Π»Π΅Π²ΠΎΠ΄ΠΎΡΠΎΠ΄ΠΎΠ². ΠΠ±ΡΠ°Π·ΡΡΡΠΈΠΉΡΡ Π² ΠΏΡΠΎΡΠ΅ΡΡΠ΅ ΠΊΠΎΠΊΡ ΠΏΠΎ ΡΠ²ΠΎΠΈΠΌ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠ°ΠΌ Π±Π»ΠΈΠ·ΠΎΠΊ ΠΊ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎ Π²ΡΠΏΡΡΠΊΠ°Π΅ΠΌΡΠΌ ΠΌΠ°ΡΠΊΠ°ΠΌ. ΠΡΠΌΠ΅ΡΠ΅Π½ΠΎ, ΡΡΠΎ ΠΏΡΠΈ ΠΊΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΠΈ ΠΎΠ±Π²ΠΎΠ΄Π½Π΅Π½Π½ΠΎΠΉ Π½Π΅ΡΡΠΈ Π΄ΠΎ 98% Π²ΠΎΠ΄Π½ΠΎΠΉ ΡΠΌΡΠ»ΡΡΠΈΠΈ ΡΡ
ΠΎΠ΄ΠΈΡ Ρ ΠΆΠΈΠ΄ΠΊΠΈΠΌΠΈ ΠΏΡΠΎΠ΄ΡΠΊΡΠ°ΠΌΠΈ ΠΊΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΡ, ΠΈ Π»ΠΈΡΡ Π½Π΅Π±ΠΎΠ»ΡΡΠΎΠ΅ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ Π²ΠΎΠ΄Ρ ΠΎΡΡΠ°Π΅ΡΡΡ Π² ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π²ΡΠ΅ΠΌΡΡ ΠΊΠΎΠΊΡΠ΅.ΠΡΠ²ΠΎΠ΄Ρ. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΠΎΠΊΠ°Π·ΡΠ²Π°ΡΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΊΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΡ Π½Π° Π½Π°ΡΠ°Π»ΡΠ½ΠΎΠΌ ΡΡΠ°ΠΏΠ΅ ΠΏΠ΅ΡΠ΅ΡΠ°Π±ΠΎΡΠΊΠΈ Π²ΡΡΠΎΠΊΠΎΠ²ΡΠ·ΠΊΠΎΠΉ ΠΈ Π±ΠΈΡΡΠΌΠΈΠ½ΠΎΠ·Π½ΠΎΠΉ Π½Π΅ΡΡΠΈ. Π ΡΡΠΎΠΌ ΡΠ»ΡΡΠ°Π΅ ΡΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎ ΡΠΏΡΠΎΡΠ°Π΅ΡΡΡ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΡΡΠ°Π΄ΠΈΠΈ Π΅Π΅ ΠΎΠ±Π΅Π·Π²ΠΎΠΆΠΈΠ²Π°Π½ΠΈΡ, ΡΠ°ΠΊ ΠΊΠ°ΠΊ Π² ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡ
Π΅ΠΌΠ΅ Π·Π°ΠΌΠ΅Π΄Π»Π΅Π½Π½ΠΎΠ³ΠΎ ΠΊΠΎΠΊΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠ΅Π΄ΡΡΠΌΠΎΡΡΠ΅Π½ΠΎ ΠΎΡΠ΄Π΅Π»Π΅Π½ΠΈΠ΅ Π±Π΅Π½Π·ΠΈΠ½ΠΎΠ²ΠΎΠΉ ΡΡΠ°ΠΊΡΠΈΠΈ ΠΎΡ Π²ΠΎΠ΄Ρ.
Laser acceleration of ion beams
We consider methods of charged particle acceleration by means of
high-intensity lasers. As an application we discuss a laser booster for heavy
ion beams provided, e.g. by the Dubna nuclotron. Simple estimates show that a
cascade of crossed laser beams would be necessary to provide additional
acceleration to gold ions of the order of GeV/nucleon.Comment: 4 pages, 4 figures, Talk at the Helmholtz International Summer School
"Dense Matter in heavy Ion Collisions and Astrophysics", August 21 -
September 1, 2006, JINR Dubna, Russia; v2, misprints correcte
Current state and prospects of protoplast technology and potato somatic hybridization (review)
Wild Solanum species have often been used as sources of important agricultural traits, including resistance to various diseases, pests, and abiotic factors. However, their large-scale use in potato breeding is limited by complex barriers of sexual incompatibility with Solanum tuberosum. Fusion of protoplasts enzymatically isolated from somatic cells is one of the approaches to overcoming sexual incompatibility. The diverse nuclear and cytoplasmic traits exhibited by potato somatic hybrids provide new genetic material for breeding programs, which is confirmed by the creation of a large number of somatic hybrids of cultivated potatoes with wild Solanum species. The research in development of somatic potato hybrids by means of protoplast fusion has been carried out for more than 40 years already. In this review, the prospects for the use of this technology in modern potato breeding are considered. Genomic, transcriptomic, and proteomic studies provide further insight into the fundamental processes underlying the somatic hybrids formation, such as cell wall formation, chromosomal rearrangements in fusion products, regeneration, and also make a significant contribution to understanding the processes of genome stabilization. Improvement in the methods of molecular screening of both genome and cytoplasm also contributes to the expansion of the field of application of somatic hybrids in breeding. Finally, it has been shown that somatic hybridization promotes the introgression of important agricultural traits, primarily resistance to pathogens
On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations
We solve the Cauchy problem for the Korteweg-de Vries equation with initial
conditions which are steplike Schwartz-type perturbations of finite-gap
potentials under the assumption that the respective spectral bands either
coincide or are disjoint.Comment: 29 page
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