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

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