Zakharov system
Encyclopedia
In mathematics, the Zakharov system is a system of non-linear partial differential equations, introduced by Vladimir Zakharov
in 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
Vladimir E. Zakharov
Vladimir Evgen'evich Zakharov is a Soviet and Russian mathematician and physicist. He is currently Regents' Professor of mathematics at The University of Arizona and director of the Mathematical Physics Sector at the Lebedev Physical Institute...
in 1972 to describe the propagation of Langmuir waves in an ionized plasma
Plasma (physics)
In physics and chemistry, plasma is a state of matter similar to gas in which a certain portion of the particles are ionized. Heating a gas may ionize its molecules or atoms , thus turning it into a plasma, which contains charged particles: positive ions and negative electrons or ions...
. The system consists of a complex field u and a real field n satisfying the equations