Zakharov system

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In mathematics, the Zakharov system is a system of non-linear partial differential equations, introduced by 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_{})

[edit] References

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

[edit] External links