ON THE DIFFERENTIAL OPERATORS OF THE GENERALIZED FIFTH-ORDER KORTEWEG-DE VRIES EQUATION

被引：0
|
作者：
Lee, Chun-Te [1 ]
机构：
[1] Univ Oxford, Inst Math, 24-29 St Giles, Oxford OX1 3LB, England
来源：
METHODS AND APPLICATIONS OF ANALYSIS | 2010年 / 17卷 / 01期
关键词：
Hamiltonian system; Nonlinear differential equation; Nonlinear partial differential equation; Fifth-order KdV equation; Ito equation; Sawada-Kotera equation; Caudrey-Dodd-Gibbon equation; Kaup-Kupershmidt equation; Lax equation; Jacobi identity; skew-adjoint operator; prolongation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present the differential operators of the generalized fifth-order KdV equation. We give formal proofs on the Hamiltonian property including the skew-adjoint property and Jacobi identity by the use of prolongation method. Our results show that there are five 3-order Hamiltonian operators, which can be used to construct the Hamiltonians, and no 5-order operators are shown to pass the Hamiltonian test, although there are infinite number of them, and are skewadjoint.
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页码：123 / 136
页数：14
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