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Approximate rogue wave solutions of the forced and damped Nonlinear Schrodinger equation for water waves

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 نشر من قبل Davide Proment Dr.
 تاريخ النشر 2012
  مجال البحث فيزياء
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We consider the effect of the wind and the dissipation on the nonlinear stages of the modulational instability. By applying a suitable transformation, we map the forced/damped Nonlinear Schrodinger (NLS) equation into the standard NLS with constant coefficients. The transformation is valid as long as |{Gamma}t| ll 1, with {Gamma} the growth/damping rate of the waves due to the wind/dissipation. Approximate rogue wave solutions of the equation are presented and discussed. The results shed some lights on the effects of wind and dissipation on the formation of rogue waves.

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