Forced oscillations of the Korteweg-de Vries equation on a bounded domain and their stability
Forced oscillations of the Korteweg-de Vries equation on a bounded domain and their stability
It has been observed in laboratory experiments that when nonlineardispersive waves are forced periodically from one end of undisturbedstretch of the medium of propagation, the signal eventually becomestemporally periodic at each spatial point. The observation has beenconfirmed mathematically in the context of the damped Kortewg-deVries (KdV) equation and the damped …