Physics:Zakharov–Schulman system

In mathematics, the Zakharov–Schulman system is a system of nonlinear partial differential equations introduced in (Zakharov Schulman) to describe the interactions of small amplitude, high frequency waves with acoustic waves. The equations are

$i\underset{t}{\overset{}{\partial }}u+L_{1}u=\varphi u$

$L_2\varphi =L_3(|u{|}^2)$

where L₁, L₂, and L₃, are constant coefficient differential operators.

References

• Zakharov, V.E.; Schulman, E.I. (1980). "Degenerated dispersion laws, motion invariant and kinetic equations". Physica D 1: 185–250. doi:10.1016/0167-2789(80)90011-1.