Existence and Non Existence of Solitons for a 1d Benney-luke Model of Higher Order

Abstract

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… (More)

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