Solitons in a parametrically unstable plasma

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August undefined, 2024

WebA synergetic approach is applied to the study of nonlinear evolution of unstable waves in an electron beam plasma. When the beam velocity is sufficien We use cookies to enhance … WebWe construct new exact solutions of the focusing Nonlinear Schrödinger equation (NLSE). This is a soliton propagating on an unstable condensate. The Kuznetsov and Akhmediev solitons as well as the Peregrine instanton are particular cases of this new solution. We discuss applications of this new solution to the description of freak (rogue) waves in the …

High-dimensional nonlinear wave transitions and their mechanisms

WebJun 5, 2024 · New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary … WebKuznetsov, E.A. (1977) Solitons in a Parametrically Unstable Plasma. Soviet Physics-Doklady, 22, 575-577. has been cited by the following article: ... So, we present the … how many capitalist countries in the world

Holographic modeling of nuclear matter and neutron …

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. WebFurther, 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. WebKuznetsov, E.A. (1977) Solitons in a Parametrically Unstable Plasma. Soviet Physics-Doklady, 22, 507-508. has been cited by the following article: TITLE: Peregrine Rogue … how many capital crimes were there by 1688

M-lump waves and their interactions with multi-soliton solutions …

Web1.1. 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. WebUsing Sagdeev pseudo-potential technique, we have studied the arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless plasma consisting of … high river movie theatreWebSep 1, 1977 · Solitons in a parametrically unstable plasma Solitons in a parametrically unstable plasma. Access Restriction Open. Author: Kuznetsov, E. A. Source: United States … how many capitals does bolivia have

"WebMay 14, 2008 · Moreover, the instability occurs only if the amplitude of the background wave exceeds a certain threshold. ... Kuznetsov, E. A. 1977 On solitons in parametrically unstable plasma. Dokl. USSR 236, 575–577 (in Russian) (English transl. Sov. Phys. Dokl. 22, 9, 507–508).Google Scholar. " - Solitons in a parametrically unstable plasma

Solitons in a parametrically unstable plasma

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 Webenergy among them. Further, 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.

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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. 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] …

WebKuznetsov, E.A. (1977) Solitons in a Parametrically Unstable Plasma. Soviet Physics-Doklady, 22, 507-508. has been cited by the following article: TITLE: Peregrine Rogue Waves Generated by the Interaction and Degeneration of Soliton-Like Solutions: Derivative Nonlinear Schrödinger Equation WebDec 1, 2007 · A general dispersion relation for MS waves propagating perpendicularly to the external magnetic field in a plasma with an arbitrary velocity distribution function is …

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. Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A

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 …

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 … how many capital cities in canadahttp://gradfaculty.usciences.edu/files/education/Physics-Revision-Notes-Waves-Lanther.pdf high river medicine treeWebJun 18, 2012 · The nonlinear Schrödinger equation (NLSE) is a central model of nonlinear science, applying to hydrodynamics, plasma physics, ... E. Solitons in a parametrically … high river music festivalWebCreated Date: 2/28/2009 9:15:59 AM how many capital cities in europeWebApr 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 … how many capitol rioters have pleaded guiltyWebJul 12, 2024 · A solitary wave is a localized "wave of translation" that arises from a balance between nonlinear and dispersive effects. In most types of solitary waves, the pulse width depends on the amplitude. A soliton is a solitary wave that behaves like a "particle", in that it satisfies the following conditions (Scott, 2005): . It must maintain its shape when it moves … how many capitol rioters held without bailWebNov 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. … how many capitol police died because of jan 6