Solitons in a parametrically unstable plasma
Webplasma. In Section3, we derive the Sagdeev pseudo-potential and discuss the existence conditions for solitons. The variations of unmodulated solitary structures for plasma parameters is studied in Section3. Section4concentrates on the derivation of NLSE, deter-mining the domain of modulational instability. The rogue waves and the breather solutions 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 …
Solitons in a parametrically unstable plasma
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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. WebOct 20, 2009 · Kuznetsov EA (1977) Solitons in a parametrically unstable plasma. Sov. Phys. - Dokl. (Engl. Transl.), 1977, 22, 507–508. On solitons in parametrically unstable plasma. …
WebJan 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 … WebThe existence of localized electromagnetic structures is discussed in the framework of the 1-dimensional relativistic Maxwell-fluid model for a cold plasma with immobile ions. New partially localized solutions are found with a finite-difference algorithm designed to locate numerically exact solutions of the Maxwell-fluid system. These solutions are called quasi …
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 … 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.
WebIntroduction 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
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 … flusher truck edmontonWebWe 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. flusher toilet totoWebparticular, 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 green flag minibus breakdown coverWebSep 1, 1977 · Solitons in a parametrically unstable plasma. The nonlinear Schroedinger equation describing the excitation of Langmuir turbulence in a homogeneous plasma, … greenflag membership contactWebDec 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. green flag monthly paymentsWebDec 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 … flusher trucks for saleWeb1.1. 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. flushers tx