Ostrovsky-Vakhnenko方程的Hamilton结构
Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation
摘要:
利用Ostrovsky-Vakhnenko方程的高阶对称性和Caudrey-Dodd-Gibbon-Sawada-Kotera方程的一个新变换,得到了该方程的双Hamilton形式.这个推导的核心是当因变量和自变量被变换时,哈密顿结构之间的关系。
英文摘要:
We obtain a bi-Hamiltonian formulation for the Ostrovsky-Vakhnenko equation using its higher order symmetry and a new transformation to the Caudrey-Dodd-Gibbon-Sawada-Kotera equation. Central to this derivation is the relation between Hamiltonian structures when dependent and independent variables are transformed.
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