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

作者：Onorato Miguel^*; Proment Davide

来源：Physics Letters A, 2012, 376(45): 3057-3059.

DOI：10.1016/j.physleta.2012.05.063

• Rogue waves
• Water waves
• Breathers

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 vertical bar Gamma t vertical bar %26lt;%26lt; 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.

• 出版日期2012-10-1