Zakharov system

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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

i \partial_t^{} u + \nabla^2 u = un
\Box n = -\nabla^2 (|u|^2_{})


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