期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 425, 期 1, 页码 281-294出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.10.021
关键词
Hamiltonian system; Fifth-order KdV equation; Kaup-Kupershmidt equation; Skew-adjoint operator; Jacobin identity; Prolongation
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.
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