Year: 2025
Type: preprint
Abstract: We derive an explicit tree based ansatz for the Birkhoff normal form up to any order in the context of Hamiltonian PDEs. To do so we make use of a tree based representation of iterated Poisson brackets to encode the nested Taylor expansions along flows of a sequence of symplectic transformations. As an example we consider the cubic Schrödinger equation.
Source: arXiv (Cornell University)
Authors: Armstrong-Goodall, Jacob, Bruned, Yvain
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416014053
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