Solitons in a parametrically unstable plasma
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 …
Solitons in a parametrically unstable plasma
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http://gradfaculty.usciences.edu/files/education/Physics-Revision-Notes-Waves-Lanther.pdf 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 …
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. 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.
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 … 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 …
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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 … how did tom and his wife cheat each otherWebA 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 … how did todd chrisley get a showWebparticular, 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 how did tom and jerry meetWebIntroduction 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 how many super bowls did elway loseWebOct 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. … how did tombstone get its nameWebJan 01, 1977. Product Type: Conference. Report Number: CONF-770930- (Pt.2) Reference Number: AIX-12-574614; EDB-81-126564. Resource Relation: Conference: XIII … how did todd chrisley get on tvWebNonlinearity 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 how did tokugawa become a shogun