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Applications of Grassmannian flows to integrable systems
[article]
2022
arXiv
pre-print
We show how many classes of partial differential systems with local and nonlocal nonlinearities are linearisable in the sense that they are realisable as Fredholm Grassmannian flows. In other words, time-evolutionary solutions to such systems can be constructed from solutions to the corresponding underlying linear partial differential system, by solving a linear Fredholm equation. For example, it is well-known that solutions to classical integrable partial differential systems can be generated
arXiv:1905.05035v2
fatcat:tcawzbm46jarvkxts2e27g7bpm