Resonant Interactions between Line Soliton and Y-Periodic Soliton: Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion
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概要
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The exact solutions to the Kadomtsev-Petviashvili equation with positive disper-sion are analysed to study the interaction between line soliton and .)'-periodic soliton(i.e. the array of the localized structures in the y direction, which propagates in the xdirection). The interactions are classified into several types according to the phaseshifts due to collision. There are two types of singular intearctions: one is the reso-nant interaction that generates one line soliton while the other is the extremelyrepulsive or long-range interaction where two solitons interchange each other in-finitely apart. Both interactions are associated with the parametric points on theboundary between the regions, where the transverse phase shift can occur and that forno transverse phase shift. Detail behaviors of interactions are illustrated graphicallyand the differences from the singular interactions in other cases are described.
- 社団法人日本物理学会の論文
- 1992-03-15
著者
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MURAKAMI Youichi
Department of Physics, Tohoku University
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Tajiri Masayoshi
Department of Mathematical Sciences,College of Engineering,Osaka Prefecture University
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Murakami Y
National Lab. High Energy Physics Ibaraki
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Tajiri Masayoshi
Department Of Mathematical Science College Of Engineering Osaka Prefecture University
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Murakami Youichi
Department Of Aerospace Engineering College Of Engineering Osaka Prefecture University
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Tajiri Masayoshi
Department Of Applied Physics Faculty Of Engineering University Of Osaka Prefecture
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