(2+1)Dimensional Wave Patterns of the Davey-Stewartson System(General)
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概要
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(2+1)(2 spatial and 1 temporal) dimensional patterns of standing waves are calculated theoretically for the Davey-Stewartson equations (DS). DS are relevant in hydrodynamic free surface waves of finite depth, and constitute a system of evolution equations with rich structure. The Hirota bilinear method, theta and Jacobi elliptic functions are employed. The wave patterns will be periodic in two mutually perpendicular spatial directions. The long wave limit can be taken by letting one of the spatial periods to become large. Special bright or dark solitons will result. The validity of all these solutions is verified independently by direct differentiation with the software MATHEMATICA.
- 社団法人日本物理学会の論文
- 2003-12-15
著者
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Chow K.
Department of Electrical Engineering and Information Systems, The University of Tokyo
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Chow K
Univ. Hong Kong Hong Kong Chn
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MAK C.
Department of Mechanical Engineering, University of Hong Kong
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Chow K.
Department Of Electrical Engineering And Information Systems The University Of Tokyo
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Mak C.
Department Of Applied Physics And Center For Smart Materials Hong Kong Polytechnic University
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CHOW Kwok
Department of Mechanical Engineering, University of Hong Kong
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Mak C.
Department Of Mechanical Engineering University Of Hong Kong
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