Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers

By Jonatan Lenells. 2008

159 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b92d8b3a7d4053ca090c441acba7baf80a1bdcea

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

On a novel integrable generalization of the nonlinear Schrödinger equation (2008, background): “However, a rst analysis indicates that there are no natural candidates for peakon solutions of equation (1.4) cf. [ 18 ].”