New Matrix Lax Representation for a Blaszak-Marciniak Four-Field Lattice Hierarchy and Its Infinitely Many Conservation Laws
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概要
- 論文の詳細を見る
In this article, by means of considering a 4 × 4 discrete isospectral problem, and constructing a proper continuous time evolution equation, and using discrete zero curvature equation, a Blaszak-Marciniak four-field lattice hierarchy is re-derived. Thus a new matrix Lax representation for the hierarchy is obtained. From the new matrix Lax representation, we demonstrate the existence of infinitely many conservation laws for the lattice hierarchy and give the corresponding conserved densities and the associated fluxes formulaically. Thus its integrability is further confirmed.
- 社団法人日本物理学会の論文
- 2002-08-15
著者
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ZHU Zuo-Nong
Department of Mathematics, Hong Kong Baptist University
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Zhu Z‐n
Shanghai Jiao Tong Univ. Shanghai Chn
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Zhu Z‐m
Department Of Mathematics Shanghai Jiao Tong University
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Zhu Zuo-nong
Deparment Of Applied Mathematics Shanghai Jiao Tong University
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Wu Xiaonan
Department Of Mathematics Hong Kong Baptist University
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ZHU Zuo-ming
Department of Mathematics, China Coal Economics College Yantai
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XUE Weimin
Department of Mathematics, Hong Kong Baptist University
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Xue Weimin
Department Of Mathematics Hong Kong Baptist University
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Xue Weimin
Department Of Mathematics Fujian Normal University
関連論文
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- New Matrix Lax Representation for a Blaszak-Marciniak Four-Field Lattice Hierarchy and Its Infinitely Many Conservation Laws
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- New Lax Representation and Integrable Discretization of the Relativistic Volterra Lattice
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