Zakharov system

Zakharov system

In mathematics, the Zakharov system is a system of non-linear partial differential equations, introduced by harvtxt|Zakharov|1972 to describe the propagation of Langmuir waves in an ionized plasma. The system consists of a complex field "u" and a real field "n" satisfying the equations:i partial_t^{} u + Delta u = un:Box n = -Delta (|u|^2_{})

References

*V. E. Zakharov, Collapse of Langmuir waves, Sov. Phys. JETP 35 (1972), 908-914.

External links

*dpde


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Zakharov–Schulman system — In mathematics, the Zakharov Schulman system is a system of nonlinear partial differential equationsintroduced in harv|Zakharov|Schulman|1980 to describe the interactions of small amplitude, high frequency waves with acoustic waves.The equations… …   Wikipedia

  • ZAKHAROV — RUSSIA (see also List of Individuals) 21.5.1896/RU 19.6.1975/RU Vadim Pavlovich Zakharov graduated in 1914 from a high school in Ashkhabad and continued studies at the Petrograd Polytechnic Institute. In 1920 only he took up studies again at the… …   Hydraulicians in Europe 1800-2000

  • List of nonlinear partial differential equations — In mathematics and physics, nonlinear partial differential equations are (as their name suggests) partial differential equations with nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and… …   Wikipedia

  • List of mathematics articles (Z) — NOTOC Z Z channel (information theory) Z factor Z function Z group Z matrix (mathematics) Z notation Z order (curve) Z test Z transform Z* theorem Zadoff–Chu sequence Zahorski theorem Zakai equation Zakharov–Schulman system Zakharov system ZAMM… …   Wikipedia

  • Nonlinear Schrödinger equation — This page is about the equation iψt = −½ψxx + κ|ψ|2ψ. For the equation iψt = −½ψxx + V(x)ψ + κ|ψ|2ψ, used in Bose–Einstein condensate theory, see Gross–Pitaevskii equation. In theoretical physics, the nonlinear Schrödinger equation (NLS) is a… …   Wikipedia

  • Phobos-Grunt — Caractéristiques Organisation Roscosmos Domaine Étude de Phobos, retour échantillon sol de Phobos sur Terre Type de mission Atterrisseur Statut lancé Masse 2 tonnes …   Wikipédia en Français

  • List of Russian people — The Millennium of Russia monument in Veliky Novgorod, featuring the statues and reliefs of the most celebrated people in the first 1000 years of Russian history …   Wikipedia

  • Moscow Institute of Physics and Technology — MFTI redirects here. For the counseling psychology credential, see Family therapy. Moscow Institute of Physics and Technology (State University) Московский Физико Технический институт (государственный университет) Motto …   Wikipedia

  • Dissipative soliton — Dissipative solitons (DSs) are stable solitary localized structures that arise in nonlinear spatially extended dissipative systems due to mechanisms of self organization. They can be considered as an extension of the classical soliton concept in… …   Wikipedia

  • Mars — This article is about the planet. For other uses, see Mars (disambiguation) …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”