Max-Plus Algebra for Complex Variables and Its Applications to Discrete Fourier Transformation and Partial Difference Equations(General)
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概要
- 論文の詳細を見る
A generalization of the max-plus transformation, which is known as a method to derive cellular automata from integrable equations, is proposed for complex variables. Operation rules for this transformation is also studied for general number of variables. As an application, the max-plus transformation is applied to the discrete Fourier transformation. Ultradiscretized wave equation and nonlinear Schrodinger equation are solved by the proposed method. The solution has discrete values with inner structures in a discrete space and time.
- 社団法人日本物理学会の論文
- 2006-06-15
著者
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YAJIMA Tetsu
Department of Information Science, Faculty of Engineering, Utsunomiya University
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Nakajima Keisuke
Department Of Information Science Faculty Of Engineering Utsunomiya University
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Nakajima Keisuke
Department Of Biology School Of Education Waseda University
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Yajima Tetsu
Department Of Applied Physics Faculty Of Engineering University Of Tokyo
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ASANO Naruyoshi
Department of Engineering Mathematics, Uthunomiya University
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Asano Naruyoshi
Department Of Information Science Faculty Of Engineering Utsunomiya University
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Asano Naruyoshi
Department Of Engineering Mathematics Faculty Of Engineering Utsunomiya University
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