Original scientific paper

On the evolution of overtaking collision of solitons

Chi-Min Liu ; General Education Center, Chienkuo Technology University, Changhwa City, TAIWAN
Chin-Hwa Kong ; Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, TAIWAN

Abstract

The classical problem of two solitons with different amplitudes moving along the same direction is reinvestigated in this paper. The well-known solution, which has been investigated by many studies, is that, after the interaction, The two solitons will gradually regain their original forms with the phase shifts respectively. Besides two regimes that classify the collision types according to the number of peaks while interaction occurs strongly, we present the third regime for describing the interaction more exactly and completely.

Keywords

overtaking collision, problem of two solitons, collision of solitons, coastal engineering, KdV equation, peak regimes

Hrčak ID:

295592

URI

https://hrcak.srce.hr/295592

Publication date:

15.12.2005.

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