Solitons in a parametrically unstable plasma

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August undefined, 2024

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

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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 http://math.arizona.edu/~zakharov/papers/pdf/KuznetsovRubenchikZakharovPhysRep1986.pdf textar catálogo online

Soliton on Unstable Condensate - arxiv-vanity.com

WebAs we continue in γ towards γ = 0 for a fixed h, the separation Temporally-periodic Solitons of Parametrically Driven Damped NLS 5 distance between the solitons in the complex increases without bounds; hence we conjecture that symmetric multisoliton complexes do not exist for γ = 0. 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 collapse of dark and bright solitons in order to build up the above mentioned chaotic waves field. textar coffee break

Soliton Modes in an Unstable Plasma Progress of Theoretical …

Arbitrary amplitude ion acoustic solitons, double layers and ...

Webplasma physics and fusion technology homogeneous plasma parametric instabilities solitons boundary conditions inverse scattering problem langmuir frequency riemann space turbulence instability DOI： 10.1016/0361-3658(77)90019-4 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 … text archivingWebJul 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 … swordplay showdown stage 20

"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

Solitons in a parametrically unstable plasma

Inverse scattering transform for the focusing nonlinear …

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…

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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. 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 …

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 … 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. …

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 … 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.

WebMar 21, 2014 · The inverse scattering transform for the focusing nonlinear Schrödinger equation with non-zero boundary conditions at infinity is presented, including the determination of the analyticity of the scattering eigenfunctions, the introduction of the appropriate Riemann surface and uniformization variable, the symmetries, discrete …

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. swordplay showdown wikiWeb张伟. 高维非线性系统的全局分叉和混沌，规范形理论和应用，高维非线性系统的全局摄动法，航空航天系统非线性动力学，参数激励系统非线性振动，新型材料结构的非线性动力学，柔性梁的非线性振动与控制，索的非线性动力学，减振器的非线性动力学 ... swordplay showdown stage 10http://gradfaculty.usciences.edu/files/education/Physics-Revision-Notes-Waves-Lanther.pdf tex tardifWebKuznetsov, 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 textar brake pads porsche 993WebKuznetsov, 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 … text ardWebSep 1, 1977 · Solitons in a parametrically unstable plasma. The nonlinear Schroedinger equation describing the excitation of Langmuir turbulence in a homogeneous plasma, … textarea 100% widthWebWe 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 … text architecture