Modulational Instability of Nonlinearly Interacting Incoherent Sea States

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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10 pages, 8 figures, to appear in JETP Letters

Scientific paper

10.1134/S0021364006240039

The modulational instability of nonlinearly interacting spatially incoherent
Stokes waves is analyzed. Starting from a pair of nonlinear Schroedinger
equations, we derive a coupled set of wave-kinetic equations by using the
Wigner transform technique. It is shown that the partial coherence of the
interacting waves induces novel effects on the dynamics of crossing sea states.

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