Some remarks on the fifth-order KdV equations

被引：8
|
作者：
Lee, C. T. [1 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 01期
关键词：
Hamiltonian system; Fifth-order KdV equation; Kaup-Kupershmidt equation; Skew-adjoint operator; Jacobin identity; Prolongation; N-SOLITON SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; KAUP-KUPERSHMIDT EQUATION; WAVES;
D O I：
10.1016/j.jmaa.2014.10.021
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 for the generalized fifth-order KdV equation. We give formal proofs on the Hamiltonian properties including the skew-adjointness and Jacobi identity by using the prolongation method. Our results show that there are three third-order Hamiltonian operators which can be used to construct the Hamiltonians. However, no fifth-order operators are shown to pass the Hamiltonian test, although there are an infinite number of them, and they are skew-adjoint. (C) 2014 Published by Elsevier Inc.
引用
收藏
页码：281 / 294
页数：14
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