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Isospectral and Nonisospectral Lattice Hierarchies Associated with a Discrete Spectral Problem and Their Infinitely Many Conservation Laws

Isospectral and Nonisospectral Lattice Hierarchies Associated with a Discrete Spectral Problem and Their Infinitely Many Conservation Laws
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摘要 在这份报纸,基于分离零个弯曲代表, isospectral 和 nonisospectral 格子层次被建议。借助于解决相应分离光谱方程,我们表明存在无穷地为这的许多能量守恒定律二个层次并且获得相应保存密度和联系流动的公式。 In this paper, based on the discrete zero curvature representation, isospectrai and nonisospectrai lattice hierarchies are proposed. By means of solving corresponding discrete spectral equations, we demonstrate the existence of infinitely many conservation laws for this two hierarchies and obtain the formulae of the corresponding conserved densities and associated fluxes.
作者 罗琳 范恩贵
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第1期17-20,共4页 理论物理通讯(英文版)
基金 Supported by the Natural Science Foundation of Shanghai under Grant No.09ZR1412800 the Innovation Program of Shanghai Municipal Education Commission under Grant No.10ZZ131
关键词 离散谱 无穷守恒律 非等谱 谱问题 合并 零曲率表示 求解方法 守恒定律 lattice hierarchy, conservation laws, discrete spectral problem
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