Abstract
In integrable, nonlinear systems an arbitrarily shaped initial pulse is known to break up into several solitons and a dispersive wave component. Similar behavior is often observed when substantial Hamiltonian deformations which destroy the system's integrability are present, as long as the Hamiltonian deformations have no explicit dependence on space or time. By contrast, this behavior is usually destroyed by non-Hamiltonian deformations even when they are quite small. Hence, it is usually sufficient to know a deformation's character to immediately determine its effect on solitons. Application of this result to optical fiber communication is discussed.
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© 1989 Springer-Verlag
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Menyuk, C.R. (1989). Hamiltonian deformations and optical fibers. In: Balabane, M., Lochak, P., Sulem, C. (eds) Integrable Systems and Applications. Lecture Notes in Physics, vol 342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035673
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DOI: https://doi.org/10.1007/BFb0035673
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