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

Zakharov, V. E. (1972), "Collapse of Langmuir waves", Soviet Journal of Experimental and Theoretical Physics, 35: 908–914, Bibcode:1972JETP...35..908Z .

External links

"Zakharov system". Dispersive PDE Wiki.

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