List of Publications
-
"Asymptotically exact formulas for the
stripe domains period in ultrathin ferromagnetic films with
out-of-plane anisotropy"
A. Bernand-Mantel, V. V. Slastikov and C. B. Muratov
(submitted).
-
"Existence of higher degree minimizers in the magnetic skyrmion problem"
C. B. Muratov V. V. Slastikov and T. M Simon
(submitted).
-
"An optimal design problem for a charge qubit"
D. Mazzoleni, C. B. Muratov and B. Ruffini
(submitted).
-
"Reduced energies for thin ferromagnetic films with
perpendicular anisotropy"
G. Di Fratta, C. B. Muratov and V. V. Slastikov
Math. Models Methods Appl. Sci.34,1861-1904 (2024).
-
"A variational model of charged drops in dielectrically
matched binary fluids: the effect of charge discreteness"
C. B. Muratov, M. Novaga, P. Zaleski
Arch. Ration. Mech. Anal.248, 76 (2024).
-
"Thomas-Fermi theory of out-of-plane charge screening in graphene"
V. Moroz and C. B. Muratov
Proc. R. Soc. A 480, 20230570 (2024).
-
"Magnetic skyrmions under confinement"
A. Monteil, C. B. Muratov, T. M. Simon and V. V. Slastikov
Commun. Math. Phys. 404, 1571-1605 (2023).
-
"Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets"
A. Bernand-Mantel, A. Fondet, S. Barnova, T. M. Simon and C. B. Muratov
Phys. Rev. B 108, L161405 (2023).
-
"Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation"
K.-S. Chen, C. B. Muratov, and X. Yan
Math. Eng. 5, 1-52 (2023).
-
"Generation and motion of interfaces in a mass-conserving reaction-diffusion system"
P. W. Miller, D. Fortunato, C. B. Muratov, M. Novaga, S. Y. Shvartsman
SIAM J. Appl. Dyn. Syst. 22, 2408-2431 (2023).
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"Transverse domain walls in thin ferromagnetic strips"
M. Morini, C. B. Muratov, M. Novaga and V. V. Slastikov
Arch. Ration. Mech. Anal. 247, 59 (2023).
-
"The mathematics of thin structures"
J.-F. Babadjian, G. Di Fratta, I. Fonseca, G. A. Francfort, M. Lewicka and
C. B. Muratov
Quart. Appl. Math. 81, 1-64 (2023).
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"Acoustic modes of a spherical thin shell tank for liquid propellant mass gauging: theory and experiment"
C. B. Muratov, J. Rogers and M. Khasin
J. Acoust. Soc. Am. 152, 3260-3270 (2022).
-
"Forced and spontaneous symmetry breaking in
cell polarization"
P. W. Miller, D. Fortunato, C. B. Muratov, L. Greengard and
S. Y. Shvartsman
Nature Comp. Sci. 2, 504-511 (2022).
-
"A micromagnetic theory of skyrmion
lifetime in ultrathin ferromagnetic films"
A. Bernand-Mantel, C. B. Muratov, and V. V. Slastikov
Proc. Natl. Acad. Sci. USA 119, e2122237119 (2022).
-
"Conducting flat drops in a confining potential"
C. B. Muratov, M. Novaga and B. Ruffini
Arch. Rat. Mech. Anal. 243, 1773-1810 (2022).
-
"A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from ℝ2 to 𝕊2"
A. Bernand-Mantel, C. B. Muratov, and T. M. Simon
Arch. Rat. Mech. Anal. 239, 219-299 (2021).
-
"Efficient approximations for stationary single-channel Ca2+ nanodomains across length scales"
Y. Chen, C. B. Muratov, and V. V. Matveev
Biophys. J. 119, 1239-1254 (2020).
-
"Variational principles of micromagnetics revisited"
G. Di Fratta, C. B. Muratov, F. N. Rybakov and V. V. Slastikov
SIAM J. Math. Anal. 52, 3580-3599 (2020).
-
"The voltage-dependent manipulation of few-layer graphene with a scanning tunneling microscopy tip"
M. M. Alyobi, C. J. Barnett, C. B. Muratov, V. Moroz, and R. J. Cobley
Carbon 163, 379-384 (2020).
-
"Edge domain walls in ultrathin exchange-biased films"
R. G. Lund, C. B. Muratov, and V. Slastikov
J. Nonlin. Sci. 30, 1165-1205 (2020).
-
"Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions"
A. Bernand-Mantel, C. B. Muratov, and T. M. Simon
Phys. Rev. B 101, 045416 (2020).
-
"Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy"
H. Knuepfer, C. B. Muratov, and M. Novaga
Pure Appl. Analysis 2, 1-21 (2020).
-
"A nonlocal isoperimetric problem with dipolar repulsion"
C. B. Muratov and T. M. Simon
Commun. Math. Phys. 372, 1059-1115 (2019).
-
"Importance sampling for thermally induced switching and non-switching probabilities in spin-torque magnetic nanodevices"
Y. Yu, C. B. Muratov, and R. O. Moore
IEEE Trans. Magn. 55, 7205011 (2019).
-
"Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films"
V. V. Slastikov, C. B. Muratov, J. M. Robbins and O. A. Tretiakov
Phys. Rev. B 99, 100403R (2019).
-
"Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy"
H. Knuepfer, C. B. Muratov, and F. Nolte
Arch. Rat. Mech. Anal. 232, 727-761 (2019).
-
"A universal thin film model for Ginzburg-Landau energy with
dipolar interaction"
C. B. Muratov
Calc. Var. PDE 58, 52 (2019).
-
"Spherical caps in cell polarization"
R. Diegmiller, H. Montanelli, C. B. Muratov and S. Y. Shvartsman
Biophys. J. 115, 26-30 (2018).
-
"A multiple scale pattern formation cascade in reaction-diffusion systems of activator-inhibitor type"
M. Henry, D. Hilhorst and C. B. Muratov
Interfaces Free Bound. 20, 297-336 (2018).
-
"On equilibrium shapes of charged flat drops"
C. B. Muratov, M. Novaga and B. Ruffini
Commun. Pure Appl. Math. 71, 1049-1073 (2018).
-
"One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films"
R. G. Lund, C. B. Muratov, and V. Slastikov
Nonlinearity 31, 728-754 (2018).
-
"Spectral mass gauging of unsettled liquid with
acoustic waves"
J. Feller, A. Kashani, M. Khasin, C. B. Muratov, V. V. Osipov and S. Sharma
Technical Report, NASA/TM-2018-219876, January 2018.
-
"Spectral mass gauging of unsettled liquid with acoustic waves"
J. Feller, A. Kashani, M. Khasin, C. B. Muratov, V. V. Osipov and S. Sharma
IOP Conf. Ser.: Mater. Sci. Eng. 278, 012003 (2017).
-
"Layer solutions for a one-dimensional nonlocal model of Ginzburg-Landau type"
K.-S. Chen, C. B. Muratov, and X. Yan
Math. Model. Nat. Phenom. 12, 68-90 (2017).
-
"An Old Problem Resurfaces Nonlocally: Gamow's Liquid Drops Inspire Today's Research and Applications"
R. Choksi, C. B. Muratov and I. Topaloglu
Notices Amer. Math. Soc. 64, 1275-1283 (2017).
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"Theory of Dzyaloshinskii domain wall tilt in ferromagnetic nanostrips"
C. B. Muratov, and V. V. Slastikov, A. G. Kolesnikov and O. A. Tretiakov
Phys. Rev. B 96, 134417 (2017).
-
"Threshold phenomena for symmetric decreasing radial solutions of reaction-diffusion equations"
C. B. Muratov and X. Zhong
Discr. Cont. Dyn. Syst. A 37, 915-944 (2017).
-
"Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction"
C. B. Muratov and V. V. Slastikov
Proc. R. Soc. A 473, 20160666 (2016).
-
"A reduced model for precessional switching of thin-film nanomagnets under the influence of spin-torque"
R. G. Lund, G. D. Chaves-O'Flynn, A. D. Kent and C. B. Muratov
Phys. Rev. B 94, 144425 (2016).
-
"Low density phases in a uniformly charged liquid"
H. Knuepfer, C. B. Muratov and M. Novaga
Commun. Math. Phys. 345, 141-183 (2016).
-
"One-dimensional domain walls in thin ferromagnetic films with fourfold anisotropy"
R. G. Lund and C. B. Muratov
Nonlinearity 29, 1716-1734 (2016).
-
"On well-posedness of variational models of charged drops"
C. B. Muratov and M. Novaga
Proc. R. Soc. A 472, 20150808 (2016).
-
"Uniqueness of one-dimensional Neel wall profiles"
C. B. Muratov and X. Yan
Proc. R. Soc. A 472, 20150762 (2016).
-
"Orbital-free density functional theory of out-of-plane charge screening in graphene"
J. Lu, V. Moroz and C. B. Muratov
J. Nonlin. Sci. 25, 1391-1430 (2015).
-
"Eventual self-similarity of solutions for the diffusion equation with nonlinear absorption and a point source"
P. V. Gordon and C. B. Muratov
SIAM J. Math. Anal. 47, 2903-2916 (2015).
-
"Mitigation of Solid Booster Ignition-Over-Pressure Wave by Water Aerosol Sprays"
V. V. Osipov, M. Khasin, H. Hafiychuk, C. B. Muratov, M. Watson and V. N. Smelyanskiy
J. Spacecraft Rockets 52, 928-943 (2015).
-
"Energy barriers for bit-encoding states based on 360-degree domain walls in ultrathin ferromagnetic nanorings"
C. B. Muratov, V. V. Osipov and E. Vanden-Eijnden
J. Appl. Phys. 117, 17D118 (2015).
-
"Front propagation in geometric and phase field
models of stratified media"
A. Cesaroni, C. B. Muratov and M. Novaga
Arch. Rat. Mech. Anal. 216, 153-191 (2015).
-
"On an isoperimetric problem with a competing
non-local term: Quantitative results."
C. B. Muratov and A. Zaleski
Ann. Global Anal. Geom. 47, 63-80 (2015).
-
"Asymptotic behavior of attractors for
inhomogeneous Alen-Cahn equations."
A. Cesaroni, C. B. Muratov and M. Novaga
RIMS Kokyuroku 1924, 97-114 (2014).
-
"Asymptotic properties
of ground states of scalar field equations with a vanishing
parameter"
V. Moroz and C. B. Muratov
J. Eur. Math. Soc. 16, 1081-1109 (2014).
-
"The Gamma-limit of the two-dimensional Ohta-Kawasaki energy. II. Droplet arrangement via the renormalized energy."
D. Goldman, C. B. Muratov and S. Serfaty
Arch. Rat. Mech. Anal. 212, 445-501 (2014).
-
"On an isoperimetric problem with a competing non-local term. II. The general case."
H. Knuepfer and C. B. Muratov
Commun. Pure Appl. Math. 67, 1974-1994 (2014).
-
"One-dimensional Neel walls under applied external fields"
M. Chermisi and C. B. Muratov
Nonlinearity 26, 2935-2950 (2013).
-
"The Gamma-limit of the two-dimensional Ohta-Kawasaki energy. I. Droplet density."
D. Goldman, C. B. Muratov and S. Serfaty
Arch. Rat. Mech. Anal. 210, 581-613 (2013).
-
"Micromagnetic Studies of the Effects of
Crystalline Anisotropy on the Remanent Magnetization of
Ferromagnetic Nanorings"
G. D. Chaves-O'Flynn and C. B. Muratov
IEEE Trans. Magn. 49, 3125-3128 (2013).
-
"Explosion Hazard from a Propellant Tank Breach in Liquid Hydrogen-Oxygen Rockets"
V. V. Osipov, C. B. Muratov, H. Hafiychuk, E. Ponizovskaya-Devine and V. N. Smelyanskiy
J. Spacecraft Rockets 50, 860-871 (2013).
-
"On an isoperimetric problem with a competing non-local term. I. The planar case."
H. Knuepfer and C. B. Muratov
Commun. Pure Appl. Math. 66, 1129-1162 (2013).
-
"Local accumulation times for source, diffusion and degradation models in two and three dimensions"
P. V. Gordon, C. B. Muratov and S. Y. Shvartsman
J. Chem. Phys. 138, 104121 (2013).
-
"Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations"
C. B. Muratov and X. Zhong
Nonlin. Diff. Eq. Appl. 20, 1519-1552 (2013).
-
"Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders"
P. V. Gordon, C. B. Muratov and M. Novaga
Calc. Var. PDE 47, 683-709 (2013).
-
"Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source"
P. V. Gordon and C. B. Muratov
Netw. Heterog. Media 7, 767-780 (2012).
-
"Global exponential convergence to variational traveling waves in cylinders"
C. B. Muratov and M. Novaga
SIAM J. Math. Anal. 44, 293--315 (2012).
-
"Issues of Long-Term Cryogenic Propellant Storage in Microgravity"
C. B. Muratov, V. V. Osipov and V. N. Smelyanskiy,
Technical Report, NASA/TM-2011-215988, October 2011.
-
"Nucleate boiling in long-term cryogenic propellant storage in microgravity"
C. B. Muratov, V. V. Osipov, V. N. Smelyanskiy and R. W. Tyson,
IAC-11.A2.6.4.x12034, Proceedings of the 62nd International Astronautical Congress, Cape Town, South Africa, September 2011.
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"A dynamical model of rocket propellant loading with liquid hydrogen"
V. V. Osipov, M. J. Daigle, C. B. Muratov, M. Foygel, V. N. Smelyanskiy and M. D. Watson
J. Spacecraft Rockets 48, 987-998 (2011).
-
"Self-similar dynamics of morphogen gradients"
C. B. Muratov, P. V. Gordon and S. Y. Shvartsman
Phys. Rev. E 84, 041916 (2011). See extended version here.
-
"Domain structure of bulk ferromagnetic crystals in applied fields near saturation"
H. Knuepfer and C. B. Muratov
J. Nonlin. Sci. 21, 921-962 (2011).
-
"Local kinetics of morphogen gradients"
P. V. Gordon, C. Sample, A. Berezhkovskii, C. B. Muratov and S. Y. Shvartsman
Proc. Natl. Acad. Sci. USA 108, 6157-6162 (2011).
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"Cavitation-induced ignition of cryogenic hydrogen-oxygen fluids"
V. V. Osipov, C. B. Muratov, E. Ponizovsakya-Devine, M. Foygel and V. N. Smelyanskiy
Appl. Phys. Lett. 98, 134102 (2011).
-
"Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions"
C. B. Muratov
Commun. Math. Phys. 299, 45-87 (2010).
-
"Waves of autocrine signaling in patterned epithelia"
C. B. Muratov and S. Y. Shvartsman
Math. Model. Nat. Phenom. 5, 46-63 (2010).
-
"Bit storage by 360-degree domain walls in ferromagnetic nanorings"
C. B. Muratov and V. V. Osipov
IEEE Trans. Magn. 45, 3207-3209 (2009).
-
"Geometric strong segregation theory for compositionally asymmetric diblock copolymer melts"
C. B. Muratov, M. Novaga, G. Orlandi, and C. J. Garcia-Cervera
in "Singularities in nonlinear evolution phenomena and applications", CRM Series, Birkhauser, 2009.
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"Autocrine signal transmission with extracellular ligand degradation"
C. B. Muratov, F. Posta and S. Y. Shvartsman
Phys. Biol. 6, 016006 (2009).
-
"Front propagation in infinite cylinders. I. A vriational approach."
C. B. Muratov and M. Novaga
Commun. Math. Sci. 6, 799-826 (2008).
-
"Dynamic condensation blocking in cryogenic refueling"
V. V. Osipov and C. B. Muratov
Appl. Phys. Lett. 93, 224105 (2008).
-
"Theory of 360-degree domain walls in thin ferromagnetic films"
C. B. Muratov and V. V. Osipov
J. Appl. Phys. 104, 053908 (2008).
-
"Compensated optimal grids for elliptic boundary-value problems"
F. Posta, S. Y. Shvartsman and C. B. Muratov
J. Comput. Phys. 227, 8622-8635 (2008).
-
"Boundary homogenization for periodic arrays of absorbers"
C. B. Muratov and S. Y. Shvartsman
Multiscale Model. Simul. 7, 44-61 (2008).
-
"Existence of traveling waves of invasion for
Ginzburg-Landau-type problems in infinite cylinders"
M. Lucia, C. B. Muratov, and M. Novaga
Arch. Rat. Mech. Anal. 188, 475-508 (2008).
-
"Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle"
C. B. Muratov and E. Vanden-Eijnden
Chaos 18, 015111 (2008).
-
"Front propagation in infinite cylinders. II. The sharp reaction zone limit."
C. B. Muratov and M. Novaga
Calc. Var. PDE 31, 521-547 (2008).
-
"Noise can play an organizing role for the recurrent dynamics in excitable media"
C. B. Muratov, E. Vanden Eijnden, and W. E
Proc. Natl. Acad. Sci. USA 104, 702-707 (2007).
-
"Quantitative models of developmental pattern formation"
G. T. Reeves, C. B. Muratov, T. Schupbach, and S. Y. Shvartsman
Devel. Cell 11, 289-300 (2006).
-
"Non-meanfield deterministic limits in chemical reaction kinetics"
R. E. L. DeVille, C. B. Muratov, and E. Vanden Eijnden
J. Chem. Phys. 124, 231102 (2006).
-
"Optimal grid-based methods for thin film micromagnetics simulations"
C. B. Muratov and V. V. Osipov
J. Comput. Phys. 216, 637-653 (2006).
-
"Traveling wave solutions of harmonic heat flow"
M. Bertsch, C. B. Muratov, and I. Primi
Calc. Var. PDE 26, 489-509 (2006).
-
"Homogenization of boundary conditions for surfaces with regular arrays of traps"
A. M. Berezhkovskii, M. I. Monine, C. B. Muratov, and S. Y. Shvartsman
J. Chem. Phys. 124, 036103 (2006).
-
"Two distinct mechanisms of coherence in randomly perturbed dynamical systems"
R. E. L. DeVille, E. Vanden Eijnden, and C.B. Muratov
Phys. Rev. E 72, 031105 (2005).
-
"Self-induced stochastic resonance in
excitable systems"
C.B. Muratov, E. Vanden Eijnden, and Weinan E
Physica D 210, 227-240 (2005).
-
"Signal propagation and failure in discrete autocrine relays"
C.B. Muratov and S. Y. Shvartsman
Phys. Rev. Lett. 93, 118101 (2004).
-
"A global variational structure and
propagation of disturbances in reaction-diffusion systems of gradient
type"
C.B. Muratov
Discrete Cont. Dyn. S.,
Ser. B 4, 867-892 (2004).
-
"Linear vs. nonlinear selection for the
propagation speed of the solutions of scalar reaction-diffusion
equations invading an unstable equilibrium"
M. Lucia, C.B. Muratov, and M. Novaga
Commun. Pure
Appl. Math. 57, 616-636 (2004).
-
"Breakup of universality in the generalized spinodal
nucleation theory"
C.B. Muratov and E. Vanden Eijnden
J. Stat. Phys. 114,
605-623 (2004).
-
"An asymptotic study of the inductive pattern
formation mechanism in Drosophila egg development"
C.B. Muratov and S.Y. Shvartsman
Physica D 186, 93-108 (2003).
-
"Discrete models of autocrine cell communication
in epithelial layers"
M. Pribyl, C.B. Muratov and S.Y. Shvartsman
Biophys. J. 84, 3624-3635 (2003).
-
"Free boundary problem and its applications to
reaction-diffusion systems of activator-inhibitor type"
C.B. Muratov
Proceedings of the Conference on Dynamics of
Patterns in Reaction-Diffusion Systems
and the Related Topics, RIMS,
Kyoto University, 63-78 (2003).
-
"Long-range signal transmission in autocrine
relays"
M. Pribyl, C.B. Muratov and S.Y. Shvartsman
Biophys. J. 84, 883-896 (2003).
-
"Transitions in the model of epithelial patterning"
M. Pribyl, C.B. Muratov and S.Y. Shvartsman
Devel. Dynamics 226, 155-159 (2003).
-
"Theory of domain patterns in systems with long-range
interactions of Coulomb type"
C. B. Muratov
Phys. Rev. E 66, 066108 (2002).
-
"Modeling and computational analysis of EGF receptor-mediated
cell communication in Drosophila oogenesis"
S.Y. Shvartsman, C.B. Muratov and D.A. Lauffenburger
Development 129 , 2577-2589 (2002).
-
"Theory of phase separation kinetics in polymer-liquid
crystal systems"
C.B. Muratov and W. E
J. Chem. Phys. 116, 4723-4734 (2002).
-
"Stability of the
static spike autosolitons in the Gray-Scott model"
C.B. Muratov and V.V. Osipov
SIAM J. Appl. Math. 62, 1463-1487 (2002).
-
"Traveling
spike autosolitons in the Gray-Scott model"
C.B. Muratov and V.V. Osipov
Physica D 155, 112-131 (2001).
-
"Spike
autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott
model"
C.B. Muratov and V.V. Osipov
Eur. Phys. J. B 22, 213-221 (2001).
-
"On
the well-posedness of the equations for the smoothed phase space distributions
function and irreversibility in classical statistical mechanics"
C.B. Muratov
J. Phys. A: Math. Gen. 34, 4641-4651 (2001).
-
"Static
spike autosolitons in the Gray-Scott model"
C.B. Muratov and V.V. Osipov
J. Phys. A: Math. Gen. 33, 8893-8916 (2000).
-
"A quantitative approximation
scheme for the traveling wave solutions in the Hodgkin-Huxley model"
C.B. Muratov
Biophys. J. 79, 2893-2901 (2000).
-
"Spike autosolitons
in the Gray-Scott model"
C.B. Muratov and V.V. Osipov
CAMS Rep. 9900-10, NJIT, Newark, NJ 07102
-
"Theory of spike
spiral waves in a reaction-diffusion system"
C.B. Muratov and V. V. Osipov
Phys. Rev. E 60, 242-246 (1999).
-
"Traveling wave solutions
in the Burridge-Knopoff model"
C.B. Muratov
Phys. Rev. E 59, 3847-3857 (1999).
-
"Unusual coarsening
during phase separation in polymer systems"
C.B. Muratov
Phys. Rev. Lett. 81, 3699-3702 (1998).
-
"Instabilities and
disorder of the domain patterns in the systems with competing interactions"
C.B.Muratov
Phys. Rev. Lett.78, 3149-3152 (1997).
-
"Synchronization,
chaos, and the breakdown of the collective domain oscillations in reaction-diffusion
systems"
C.B. Muratov
Phys. Rev. E 55, 1463-1477 (1997).
-
"Scenarios of domain
pattern formation in a reaction-diffusion system"
C.B. Muratov and V.V.Osipov
Phys. Rev. E
54, 4860-4879 (1996).
-
"Self-replication
and splitting of domain patterns in reaction-diffusion systems with the
fast inhibitor"
C.B. Muratov
Phys. Rev. E 54, 3369-3376 (1996).
-
"General theory of
instabilities for patterns with sharp interfaces in reaction-diffusion
systems"
C.B. Muratov and V.V. Osipov
Phys. Rev. E 53, 3101-3116 (1996).
-
"Ultrafast traveling
spike autosolitons in reaction-diffusion systems"
V.V. Osipov and C.B. Muratov
Phys Rev. Lett. 75, 338-341 (1995).
-
"Properties
of wide-peak autosolitons in electron-hole and gas plasma"
V.V. Osipov and C.B. Muratov
Phys. Rev. E 50, 3251-3254 (1994).