Dynamics of a KdV soliton due to periodic forcing

Roger Grimshaw*, Boris A. Malomed, Xin Tian

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We report results of numerical simulations of motion of a soliton due to periodic sinusoidal forcing, which moves at a velocity close to that of the soliton. This is a simple model for a number of interesting problems known in the theory of surface and internal waves and in other physical contexts (e.g. generation of waves by a periodic chain of moving small bodies). Recently, it has been predicted analytically that emission of small-amplitude waves by the soliton interacting with this background sinusoidal relief must give rise to an increase of the relative velocity of the soliton. In this work, we observe this predicted effect as a general trend demonstrated by the system, although its full dynamics proves to be rather complicated.

Original languageEnglish
Pages (from-to)291-298
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number4-5
StatePublished - 16 Aug 1993


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