Stability for line soliton to the Davey-Stewartson I equation
説明
[Abstract] Resonance phenomena exist in interaction between the line soliton and the periodic soliton expressed by Davey-Stewartson (DS) equation. If resonant conditions are completely satisfied, two solitons become resonant line soliton after collision and continue propagating. However, considering interaction of the line soliton and the periodic soliton having parameters of the vicinity of the parameters that satisfy resonant conditions, a quasi resonant state can be constituted by having the line soliton and periodic soliton collide. This quasi resonant state can be seen as a state that minute disturbance is added to the line soliton. The exact solution which expresses this quasi resonant state expresses time evolution of the line soliton and disturbance at the time when minute disturbance is added to the line soliton.
収録刊行物
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- 理工学総合研究所研究報告
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理工学総合研究所研究報告 26 7-12, 2014-02-01
近畿大学理工学総合研究所
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詳細情報 詳細情報について
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- CRID
- 1050001202557215744
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- ISSN
- 09162054
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB