Solitons in a parametrically unstable plasma

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August undefined, 2024

WebDec 1, 2024 · In biology, soliton theory has been applied to describe signal and energy propagation in bio-membranes, the nervous system and low frequency collective motion in proteins and DNA. 16 Solitons also feature prominently in the study of plasmas, which consist of a large number of charged particles. WebCreated Date: 2/28/2009 9:15:59 AM

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WebNonlinearity 12 (1999) 103–140. Printed in the UK PII: S0951-7715(99)95148-4 Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability N WebOct 2, 2009 · We study intrinsic localized modes (ILMs), or solitons, in arrays of parametrically driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). The analysis is performed using an amplitude equation in the form of a nonlinear Schr\"odinger equation with a term … shuttle las vegas airport to ballys

Soliton Modes in an Unstable Plasma - Semantic Scholar

WebJun 18, 2012 · The nonlinear Schrödinger equation (NLSE) is a central model of nonlinear science, applying to hydrodynamics, plasma physics, ... E. Solitons in a parametrically … Webclasses of nonlinear waves which may have stationary solutions like solitons and shocks. Because the plasma also acts like an inherently nonlinear dielectric resonant interactions among waves lead to exchange of energy among them. Further, an electromagnetic wave interacting with a plasma may parametrically excite other waves in the plasma. WebNov 2, 2024 · Kuznetsov, “ Solitons in a parametrically unstable plasma,” Akad. Nauk SSSR Dokl. 236, ... “ Self-focusing instability of plane solitons and chains of two-dimensional solitons in positive-dispersion media,” Zh. Eksp. Teor. … shuttle larnaca

Observation of Kuznetsov-Ma soliton dynamics in optical …

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WebSoliton. Solitary wave in a laboratory wave channel. In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. WebI review holographic models for (dense and cold) nuclear matter, neutron stars, and their mergers. I start by a brief general discussion on current knowledge of cold QCD matter and neutron stars, and go on discussing v… the parent trap germanWebJan 12, 2024 · 1977 Solitons in a parametrically unstable plasma. Sov. Phys. Dokl. 22, 507-508. Google Scholar. 19. Kawata T, Inoue H. ... 2015 Rogue waves, rational solitons, and … shuttle landing seattle facility

"Webparticular, the parametric instability of the uniform electric field in plasma (Andreev et al. 1969), the second-order decay instability of finite-amplitude waves (Zakharov 1966), and the instability of waves on the surface of a liquid (Zakharov 1968). One can say that the linear theory of parametric instability " - Solitons in a parametrically unstable plasma

Solitons in a parametrically unstable plasma

WebQuicklinks. Register for TIB document delivery; Register for a library card; Loan periods, returns, overdue fines WebOct 18, 2024 · The ability of solitons to emit dispersive radiation also known as Cherenkov radiation is a property vividly expressing their wave nature. ... 22. Kuznetsov EA. Solitons in a parametrically unstable plasma. Akademiia Nauk SSSR Doklady (1977) 236:575–7. Google Scholar. 23. Ma YC.

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WebNov 23, 2024 · H. Bailung, S. K. Sharma and Y. Nakamura, Observation of Peregrine solitons in a multicomponent plasma with negative ions, Phys. Rev. Lett. (2011); 107: 255005. [25] … WebIn a dispersive medium this can lead to classes of nonlinear waves which may have stationary solutions like solitons and shocks. Because the plasma also acts ... an electromagnetic wave interacting with a plasma may parametrically excite other waves in the plasma. A large-amplitude Langmuir wave undergoes a modulational instability which …

WebWe investigate the nonlinear stage of the modulational (or Benjamin--Feir) instability by characterizing the initial value problem for the focusing nonlinear Schrödinger ... E. A. Kuznetsov, Solitons in a parametrically unstable plasma, Sov. Phys. Dokl., 22 (1977), pp. 507--508. Google Scholar. 37. WebFeb 5, 2024 · Its exact solutions called solitons on finite background (SFBs) such as Akhmediev breathers, Kuznetsov–Ma, and Peregrine solitons have been derived several decades ago [3, 5–8]. First studied in the context of modulation instability, SFBs have been the subject of a renewed interest in the 2000s because these localized solutions are …

WebSep 1, 1977 · Solitons in a parametrically unstable plasma Solitons in a parametrically unstable plasma. Access Restriction Open. Author: Kuznetsov, E. A. Source: United States … WebSolitons in a parametrically unstable plasma. E. Kuznetsov. Published 1 September 1977. Physics. It is shown that when analyzing Langmuir waves a change in the boundary …

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WebUsing Sagdeev pseudo-potential technique, we have studied the arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless plasma consisting of … shuttle laptopWebIntroduction to Plasma Theory - Feb 27 2024 Provides a complete introduction to plasma physics as taught in a 1-year graduate course. Covers all important topics of plasma theory, omitting no mathematical steps in derivations. Covers solitons, parametric instabilities, weak turbulence theory, and more. Includes exercises and problems which apply shuttle las vegas airport to kingman azWeb1.1. Basic equations 106 2.5. Soliton instability in weakly dispersive media 141 1.2. Multi-dimensional solitons and their stability in mod- 3. Stability of plasma solitons 145 els of the KdV type 113 3.1. High-frequency solitons in an isotropic plasma and 1.3. Variational estimates for equations of the NSE type 117 their stability 146 1.4. shuttle laramie to denver airportWebFeb 6, 2013 · Kuznetsov E (1977) Solitons in a parametrically unstable plasma. In: Akademiia Nauk SSSR Doklady. volume 236, 575–577. 7. Akhmediev N, Eleonskii V, Kulagin N (1987) Exact first-order solutions of the nonlinear Schrödinger equation. Theoretical and Mathematical Physics 72: 809–818. View Article Google Scholar the parent trap hallie in the poolWebApr 1, 2024 · Soliton solution composed of e-exponential functions is generally a stable solitary wave, rational solution formed by a fraction of independent variables sometimes shows instantaneity, and rogon-soliton solution mentioned in this paper refers to the coupling of rational solution in a soliton solution.This work reports the fact that not only … the parent trap is messed upWebA synergetic approach is applied to the study of nonlinear evolution of unstable waves in an electron beam plasma. When the beam velocity is sufficiently large compared with the … shuttle las vegas airport to hotelWebFurther, an electromagnetic wave interacting with a plasma may parametrically excite other waves in the plasma. A large-amplitude Langmuir wave undergoes a modulational instability which arises through local depressions in plasma density and the corresponding increases in the energy density of the wave electric field. shuttle las vegas airport to strip