Solitons in a parametrically unstable plasma

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SOLITON STABILITY IN PLASMAS AND HYDRODYNAMICS

WebThis is a review of fiber-optic soliton propagation and of methods to determine the soliton content in a pulse, group of pulses or a similar structure. Of central importance is the nonlinear Schrödinger equation, an integrable equation that possesses soliton solutions, among others. Several extensions and generalizations of this equation are customary to … 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. … ontario association of psychology

Solitons and Nonlinear Phenomena in Parametrically Excited Spin …

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 … 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. 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. ontario athletic commission

What makes the Peregrine soliton so special as a prototype

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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. 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. ontario association of social workers feeWebSep 1, 1977 · Solitons in a parametrically unstable plasma Solitons in a parametrically unstable plasma. Access Restriction Open. Author: Kuznetsov, E. A. Source: United States … ontario athletics

"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. " - Solitons in a parametrically unstable plasma

Solitons in a parametrically unstable plasma

Experimental study of extreme waves based on nonlinear …

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 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 …

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WebA thermodynamically unstable spin glass growth model described by means of the parametrically-dependent Kardar–Parisi–Zhang equation is analyzed within the symplectic geometry-based gradient–holonomic and optimal control motivated algorithms. The finitely-parametric functional extensions of the model are studied, and the existence of … 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 …

WebUsing Sagdeev pseudo-potential technique, we have studied the arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless plasma consisting of … WebApr 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 …

WebSep 14, 2010 · A large amplitude coherent wave has been shown to evolve into solitary waves which behave like particles and are named solitons. A solitary wave was first … 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 …

WebAug 9, 2024 · In this work, the dynamical behaviors of the Jimbo–Miwa equation that describes certain interesting (3 + 1)-dimensional waves in physics but does not pass any of the conventional integrability tests are studied. One-, two-, and three-M-lump waves are constructed successfully. Interactions between one-M-lump and one-soliton wave, …

WebJul 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 … iomg icarly full episodeWebA 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 … ontario atlasWebEnter the email address you signed up with and we'll email you a reset link. ontario athletics eventsWebKuznetsov, 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 collapse of dark and bright solitons in order to build up the above mentioned chaotic waves field. iomg icarly episodeWebNonlinearity 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 ontario athletic therapy ontario association of veterinary techniciansWebApr 14, 2024 · Meanwhile, the interdisciplinary nature of modulation instability (MI) based on weakly nonlinearity has brought more people into the discussion of this problem. 7,8 7. M. Onorato, S. Residori, U. Bortolozzo, ... Kuznetsov, “ Solitons in … ontario attorney general forms