Low-order Hamiltonian operators having momentum
Jirina Vodova
TL;DR
This paper classifies all fifth-order Hamiltonian operators with momentum in one dependent and one independent variable, extending previous classifications for lower-order operators.
Contribution
It provides a complete classification of fifth-order Hamiltonian operators with momentum, a significant extension of earlier work on lower-order cases.
Findings
All fifth-order Hamiltonian operators with momentum are characterized.
The results extend the classification of Hamiltonian operators to higher order.
The paper confirms the existence and form of such operators in the specified setting.
Abstract
We describe all fifth-order Hamiltonian operators in one dependent and one independent variable that possess the momentum, i.e., for which there exists a Hamiltonian associated with translation in the independent variable. Similar results for first- and third-order Hamiltonian operators were obtained earlier by Mokhov.
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