Nonlinear Refraction and Reflection of Line Soliton Due to a Discontinuity
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概要
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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 sech^2-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.
- 社団法人日本物理学会の論文
- 1993-04-15
著者
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Miki Wadati
Department Of Physics Graduate School Of Science University Of Tokyo
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Wadati M
Univ. Tokyo
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Wadati Miki
Department Of Physics Graduate School Science University Of Tokyo
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Iizuka Takeshi
Department Of Physics Faculty Of Science University Of Tokyo
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Iizuka Takeshi
Department Of Chemistry Faculty Of Education Gunma University
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