Exactly solvable model for nonlinear pulse propagation in optical fibers
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
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.
IdentifiersURN: urn:nbn:se:kth:diva-163821DOI: 10.1111/j.1467-9590.2009.00454.xISI: 000268303700003ScopusID: 2-s2.0-68349139191OAI: oai:DiVA.org:kth-163821DiVA: diva2:802372
QC 201504132015-04-132015-04-122015-04-13Bibliographically approved