Zakharov system

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

$i \partial_t^{} u + \nabla^2 u = un$

$\Box n = -\nabla^2 (|u|^2_{})$

References

• .

External links

• Zakharov system at the Dispersive PDE Wiki