Lagrangian and Hamiltonian structures for the constant astigmatism equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F13%3A%230000443" target="_blank" >RIV/47813059:19610/13:#0000443 - isvavai.cz</a>
Result on the web
<a href="http://iopscience.iop.org/1751-8121/46/39/395203/" target="_blank" >http://iopscience.iop.org/1751-8121/46/39/395203/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/46/39/395203" target="_blank" >10.1088/1751-8113/46/39/395203</a>

Result language
angličtina
Original language name
Lagrangian and Hamiltonian structures for the constant astigmatism equation
Original language description
In this paper we found a Lagrangian representation and corresponding Hamiltonian structure for the constant astigmatism equation. Utilizing this Hamiltonian structure and extra conservation law densities we construct a first evolution commuting flow of the third order. We also apply the recursion operator and present a second Hamiltonian structure. This bi-Hamiltonian structure allows us to replicate infinitely many local commuting flows and corresponding local conservation law densities.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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