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Exactly solvable model for nonlinear pulse propagation in optical fibers
University of Cambridge, United Kingdom .ORCID iD: 0000-0001-6191-7769
2009 (English)In: Studies in applied mathematics (Cambridge), ISSN 0022-2526, E-ISSN 1467-9590, Vol. 123, no 2, 215-232 p.Article in journal (Refereed) Published
Abstract [en]

The nonlinear Schrödinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation, which was first derived by means of bi-Hamiltonian methods in 1. The purpose of the present paper is threefold: (a) We show how this generalized NLS equation arises as a model for nonlinear pulse propagation in monomode optical fibers when certain higher-order nonlinear effects are taken into account; (b) We show that the equation is equivalent, up to a simple change of variables, to the first negative member of the integrable hierarchy associated with the derivative NLS equation; (c) We analyze traveling-wave solutions.

Place, publisher, year, edition, pages
2009. Vol. 123, no 2, 215-232 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-163821DOI: 10.1111/j.1467-9590.2009.00454.xISI: 000268303700003Scopus ID: 2-s2.0-68349139191OAI: oai:DiVA.org:kth-163821DiVA: diva2:802372
Note

QC 20150413

Available from: 2015-04-13 Created: 2015-04-12 Last updated: 2017-12-04Bibliographically approved

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Lenells, Jonatan

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