Search Results - "Lashkin, V M"
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Spinor-induced instability of kinks, holes and quantum droplets
Published in New journal of physics (01-07-2022)“…Abstract We address the existence and stability of one-dimensional (1D) holes and kinks and two-dimensional (2D) vortex-holes nested in extended binary Bose…”
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Blow-up solitons at the nonlinear stage of the two-stream instability in quantum plasmas
Published in Europhysics letters (01-05-2020)“…The nonlinear evolution of the quantum two-stream instability in a plasma with counter-streaming electron beams is studied. It is shown that in the long-wave…”
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3
Plane Internal Gravity Waves with Arbitrary Amplitude
Published in Kinematics and physics of celestial bodies (01-10-2024)“…Nonlinear equations called the Stenflo equations are usually used for the analytical description of the propagation of internal gravity waves in the Earth’s…”
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Dynamics of two-dimensional coherent structures in nonlocal nonlinear media
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-06-2006)“…We study stability and dynamics of the single cylindrically symmetric solitary structures and dipolar solitonic molecules in spatially nonlocal media. The main…”
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Short-wavelength soliton in ultrarelativistic electron-positron-ion plasmas
Published 18-05-2021“…We derive a nonlinear equation governing dynamics of short-wavelength longitudinal waves in ultrarelativistic electron-positron-ion plasmas. In contrast to the…”
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Perturbation theory for solitons of the Fokas--Lenells equation : Inverse scattering transform approach
Published 18-03-2021“…Phys. Rev. E 103, 042203 (2021) We present perturbation theory based on the inverse scattering transform method for solitons described by an equation with the…”
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N-soliton solutions of the Fokas–Lenells equation for the plasma ion-cyclotron waves: Inverse scattering transform approach
Published in Communications in nonlinear science & numerical simulation (01-04-2023)“…We present a simple and constructive method to find N-soliton solutions of the equation suggested by Davydova and Lashkin to describe the dynamics of nonlinear…”
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8
Blow-up solitons at the nonlinear stage of the two-stream instability in quantum plasmas
Published 30-07-2020“…EPL 130 (2020) 30001 The nonlinear evolution of the quantum two-stream instability in a plasma with counter-streaming electron beams is studied. It is shown…”
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9
Stable three-dimensional vortex solitons in Bose–Einstein condensates with nonlocal dipole–dipole interaction
Published in Physica scripta (01-03-2009)Get full text
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10
Soliton of modified nonlinear Schrödinger equation with random perturbations
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-01-2004)“…Soliton of the modified Schrödinger equation which describes the propagation of femtosecond optical pulses in nonlinear optical fibers is studied in the…”
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11
Spinor-Induced Instability of Kinks, Holes and Quantum Droplets
Published 25-06-2022“…New Journal of Physics 24, 073012 (2022) We address the existence and stability of one-dimensional (1D) holes and kinks and two-dimensional (2D) vortex-holes…”
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12
Acoustic-gravity waves in quasi-isothermal atmospheres with a random vertical temperature profile
Published in Wave motion (01-06-2023)“…We study acoustic-gravity waves in a quasi-isothermal atmosphere in the presence of a weak random addition to the vertical temperature profile, which simulates…”
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13
Alfvén soliton and emitted radiation in the presence of perturbations
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-07-2006)“…Soliton perturbation theory based on the inverse scattering transform method is applied to the derivative nonlinear Schrödinger equation, which describes…”
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14
Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates
Published 26-08-2008“…We present exact numerical solutions in the form of spatially localized three-dimensional (3D) nonrotating and rotating (azimuthon) multipole solitons in the…”
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15
Influence of the mean flow on zonal flow generation
Published 26-08-2008“…Excitation of zonal flow by the modulational instability in the presence of mean shear flow is considered. It is shown that the small amplitude mean flow…”
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16
Two-dimensional ring-like vortex and multisoliton nonlinear structures at the upper-hybrid resonance
Published 05-06-2007“…Two-dimensional (2D) equations describing the nonlinear interaction between upper-hybrid and dispersive magnetosonic waves are presented. Nonlocal nonlinearity…”
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17
N$-soliton solutions of the Fokas-Lenells equation for the plasma ion-cyclotron waves: Inverse scattering transform approach
Published 01-11-2022“…We present a simple and constructive method to find $N$-soliton solutions of the equation suggested by Davydova and Lashkin to describe the dynamics of…”
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Self-consistent equilibrium of a force-free magnetic flux rope
Published 15-08-2024“…We present an exact solution to the problem of a self-consistent equilibrium force-free magnetic flux rope. Unlike other approaches, we use magnetostatic…”
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20
Two-dimensional nonlocal multisolitons
Published in Physics letters. A (02-07-2007)“…We study the bound states of two-dimensional bright solitons in nonlocal nonlinear media. The general properties and stability of these multisolitary…”
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