Zakharov-Schulman system

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The Zakharov-Schulman system is described by the equations

iut + L1u = φu
L2φ = L3( | u | 2)

where L_1, L_2, L_3 are various constant coefficient differential operators; these describe the interactions of small amplitude, high frequency waves with acoustic waves ZkShl1980. Using energy methods and gauge transformations, local existence for smooth data was established in KnPoVe1995b; see also GhSau1992.

The Davey-Stewartson system can be viewed as a special case of this system.

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