Abstract
We show that by taking stationary flows of integrable evolution equations on lattices one obtains integrable symplectic maps. We also tersely discuss an alternative method based on the so-called nonlinearization of a scattering problem, and elucidate its intimate connections with the previous one. A few examples of possibly interesting integrable maps are presented.
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© 1991 Springer-Verlag Berlin Heidelberg
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Ragnisco, O. (1991). A Simple Method to Generate Integrable Symplectic Maps. In: Antoniou, I., Lambert, F.J. (eds) Solitons and Chaos. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84570-3_28
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DOI: https://doi.org/10.1007/978-3-642-84570-3_28
Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-84570-3
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