Nonlinear Refraction and Reflection of Line Soliton Due to a Discontinuity
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- Iizuka Takeshi
- Department of Physics, Faculty of Science, University of Tokyo
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- Wadati Miki
- Department of Physics, Faculty of Science, University of Tokyo
書誌事項
- タイトル別名
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- Nonlinear Refraction and Reflection of
- 公開日
- 1993
- DOI
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- 10.1143/jpsj.62.1159
- 公開者
- 一般社団法人 日本物理学会
この論文をさがす
説明
A two-dimensional anharmonic lattice which has a line discontinuity in the mass distribution is considered. We study scattering of the nonlinear waves due to the mass interface. In the continuum approximation, the incident, reflected and transmitted waves are shown to obey three independent KP equations. By solving the KP equations for sech2-type intial values, we investigate effects of the discontinuous interface on the developement of the incident line soliton. It is shown that the transmitted line soliton breaks up while the reflected soliton does not. The reflection angle is different from the incident angle due to the nonlinearity. These are considered as features of nolinear refraction and reflection phenomena. Our approach is applicable to other two-dimensional nonlinear systems such as shallow water and ion acoustic wave.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 62 (4), 1159-1166, 1993
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679153541504
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- NII論文ID
- 110001955884
- 210000097289
- 130003901958
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1993JPSJ...62.1159I
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 3819805
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- 本文言語コード
- en
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- データソース種別
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