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VOLUME 59 (1994) | ISSUE 11 | PAGE 741
Whitham deformations partially saturating a modulational instability in a nonlinear Schrodinger equation
A Whitham-modulated solution of the nonlinear Schrodinger equation is constructed by the approach of Gurevich and Pitaevskii. This solution corresponds to the regime of a partially saturated modulational instability. It describes a mechanism for the evolution of a monochromatic wave in the nonlinear Schrodinger equation which leads to the nucleation of a new phase and to the onset of an expanding oscillatory region.