Motions of Curves in the Complex Hyperbola and the Burgers Hierarchy
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Abstract
We study theory of curves in the complex hyperbola and show that special motions of curves are linked with the Burgers hierarchy, which also leads to a Hamiltonian formulation of the hierarchy and to the difference Burgers equation via their discretization.
Journal
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- Osaka journal of mathematics
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Osaka journal of mathematics 45(4), 1057-1065, 2008-12
大阪大学大学院理学研究科 理学部数学教室