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期刊论文

Theoreticalstudyofresonanceofthe Kadomtsev-Petviashvili equation

段文山Wen-Shan Duan* Yu-Ren Shi Xue-Ren Hong

Physics Letters A 323 (2004) 89-94,-0001,():

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摘要/描述

As is well known, Korteweg-de Vries equation is a typical one which has planar solitary waves. By considering the higher-dimensional nonlinear waves, we studied a Kadomtsev-Petviashvili (KP) equation and found some interesting results which explain experimental results well enough. Two same amplitude soliton solution of KP equation explain resonance phenomena reported by some experiments. Two arbitrary amplitude soliton solution of KP equation is also obtained in this Letter, which canalsoresultsinresonance phenomena. The phase shift after interaction between two soliton are obtained theoretically in this Letter.It is in agreement with experimental results.

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