Zakharov–Schulman system

In mathematics, the Zakharov–Schulman system is a system of nonlinear partial differential equations introduced in (Zakharov & Schulman 1980) to describe the interactions of small amplitude, high frequency waves with acoustic waves. The equations are

$i\partial_t^{} u + L_1u = \phi u$

$L_2 \phi = L_3( | u |^2)$

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

References

• V.E. Zakharov, E.I. Schulman, Degenerated dispersion laws, motion invariant and kinetic equations, Physica 1D (1980), 185-250.

External links

• Zakharov-Schulman_system at the Dispersive PDE Wiki