Some remarks on the fifth-order KdV equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:425

Article

Lee, C. T.

关键词: Hamiltonian system;    Fifth-order KdV equation;    Kaup-Kupershmidt equation;    Skew-adjoint operator;    Jacobin identity;    Prolongation;   

DOI  :  10.1016/j.jmaa.2014.10.021

来源: Elsevier

【 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.

【 授权许可】

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