THE PERIODIC SOLITON RESONANCE - SOLUTIONS TO THE KADOMTSEV-PETVIASHVILI EQUATION WITH POSITIVE DISPERSION

被引:32
|
作者
TAJIRI, M
MURAKAMI, Y
机构
[1] Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture, Sakai, Osaka, 591
关键词
D O I
10.1016/0375-9601(90)90742-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The two periodic soliton solution to the Kadomtsev-Petviashvili equation with positive dispersion is analyzed to show that the soliton resonance between them exists. It is shown that there is a parameter regime where the interactions result in a center shift of solitons not only in the direction of propagation but also in the transverse direction. The resonant interactions are associated with the parametric points on the boundary between the regime for transverse center shift and that for no transverse center shift of solitons. © 1990.
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页码:217 / 220
页数:4
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