{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T00:26:50Z","timestamp":1787272010050,"version":"build-2736575974"},"reference-count":41,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>The dispersion-managed nonlinear Schr\u00f6dinger (DMNLS) equation governs the long-term dynamics of systems which are subject to large and rapid dispersion variations. We present a method to study large, noise-induced amplitude and phase perturbations of dispersion-managed solitons. The method is based on the use of importance sampling to bias Monte Carlo simulations toward regions of state space where rare events of interest\u2014large phase or amplitude variations\u2014are most likely to occur. Implementing the method thus involves solving two separate problems: finding the most likely noise realizations that produce a small change in the soliton parameters, and finding the most likely way that these small changes should be distributed in order to create a large, sought-after amplitude or phase change. Both steps are formulated and solved in terms of a variational problem. In addition, the first step makes use of the results of perturbation theory for dispersion-managed systems recently developed by the authors. We demonstrate this method by reconstructing the probability density function of amplitude and phase deviations of noise-perturbed dispersion-managed solitons and comparing the results to those of the original, unaveraged system.<\/jats:p>","DOI":"10.1137\/090761677","type":"journal-article","created":{"date-parts":[[2010,5,21]],"date-time":"2010-05-21T18:10:20Z","timestamp":1274465420000},"page":"432-461","source":"Crossref","is-referenced-by-count":5,"title":["Importance Sampling for Dispersion-Managed Solitons"],"prefix":"10.1137","volume":"9","author":[{"given":"Elaine T.","family":"Spiller","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gino","family":"Biondini","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,5,21]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.23.001668"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1364\/OL.21.001646"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAB.18.000577"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1364\/OL.29.001808"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"G. P. Agrawal,\n                      Fiber Optics Communication Systems\n                      , 3rd ed., Wiley, New York, 2002.","DOI":"10.1002\/0471221147"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.023902"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2004.825321"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1364\/OL.28.001754"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAB.22.000743"},{"key":"R10","unstructured":"E. J. Doedel, A. R. Champneys, T. F. Fairgrieve, Y. A. Kuznetsov, B. Sandstede, and X. J. 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Gordon,\n                      Solitons in Optical Fibers: Fundamentals and Applications\n                      , Academic Press, New York, 2006."},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1364\/OL.28.000105"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1137\/060650775"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAB.24.001756"},{"key":"R32","unstructured":"A. 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Cundiff, eds.\n                      Femtosecond Optical Frequency Comb: Principle, Operation and Applications\n                      , Springer, New York, 2004.","DOI":"10.1007\/b102450"}],"container-title":["SIAM Journal on Applied Dynamical Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/090761677","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T13:13:03Z","timestamp":1787231583000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/090761677"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":41,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1137\/090761677"],"URL":"https:\/\/doi.org\/10.1137\/090761677","relation":{},"ISSN":["1536-0040"],"issn-type":[{"value":"1536-0040","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}