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Solitary wave interactions with a periodic forcing: the extended Korteweg-de Vries framework

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arxiv 2209.03085 v1 pith:OY55WKPU submitted 2022-09-07 physics.flu-dyn

Solitary wave interactions with a periodic forcing: the extended Korteweg-de Vries framework

classification physics.flu-dyn
keywords solitaryforcingwaveextendedinitialinteractionskorteweg-deperiodic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The aim of this work is to study numerically the interaction of large amplitude solitary waves with an external periodic forcing using the forced extended Korteweg-de Vries equation (feKdV). Regarding these interactions, we find that a solitary wave can bounce back and forth remaining close to its initial position when the forcing and the solitary wave are near resonant or it can move away from its initial position without reversing their direction. Additionally, we verify that the numerical results agree well within the asymptotic approximation for broad the forcings.

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