Note on the Gauge Invariance and the Conservation Laws for a Class of Nonlinear Partial Differential Equations

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概要

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• Relations between gauge invariance and the conservation laws are discussed in relevant to Korteweg-deVries' and its concerning equations. The technics employed here is conventional in the realm of field theory; the canonical formalism related to the invariant variation problem. The function of constants of motion, when represented in terms of canonical variables is to generate infinitesimal partial gauge transformations of any order, under which the variation problem is invariant. On this point of view, one more example is presented together with the general theory.

• 核融合科学研究所の論文

著者

• Watanabe Yoiti

  Research Information Center Institute Of Plasma Physics Nagoya University:institute Of Physics Colle

関連論文

• Note on the Gauge Invariance and the Conservation Laws for a Class of Nonlinear Partial Differential Equations

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