Existence and Non Existence of Solitons for a 1d Benney-luke Model of Higher Order
نویسندگان
چکیده
We shall establish the existence and non existence of solitons (travelling waves of finite energy) for a Benney-Luke equation of higher order, which includes models for long water waves with small amplitude. Following a variational approach, solitons are characterized as critical points of the action functional. Existence of solitons follows by the ConcentrationCompactness principle by P.-L. Lions, applied to an appropriated minimization problem. It is also shown that solitons are smooth.
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