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arXiv · 1212.6239

Lagrangian and Hamiltonian Structures for the Constant Astigmatism Equation

Maxim V. Pavlov·Sergej A. Zykov
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Abstract

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. Also, we apply the recursion operator and present a second Hamiltonian structure. This bi-Hamiltonian structure allows to replicate infinitely many local commuting flows and corresponding local conservation law densities.

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Maxim V. Pavlov, Sergej A. Zykov. 2012-12-26. Lagrangian and Hamiltonian Structures for the Constant Astigmatism Equation. https://doi.org/10.1088/1751-8113/46/39/395203

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