title: Soliton dynamics in optical fibers using the generalized traveling-wave method.
abstract: The generalized traveling wave method (GTWM) is applied to the nonlinear Schrödinger (NLS) equation with general perturbations in order to obtain the equations of motion for an ansatz with six collective coordinates, namely the soliton position, the amplitude, the inverse of the soliton width, the velocity, the chirp, and the phase. The advantage of the new ansatz is that it yields three pairs of canonically conjugated coordinates and momenta that all are well-behaved. The new ansatz is applied to model the dynamics of a soliton in a dispersion-shifted optical fiber described by the generalized NLS, including dissipation, higher-order dispersion, Raman scattering, and self-steepening perturbations. It is shown that the GTWM is equivalent to the modified method of moments, which considers the time variation of the norm, the first and the second moment of the norm, the momentum, the first moment of the momentum, and the energy for the perturbed NLS equation.
authors.affiliation: Departamento de Física Aplicada I, E.P.S., Universidad de Sevilla, Virgen de África 7, E-41011, Sevilla, Spain.
authors.forename: Niurka R
authors.initials: NR
authors.lastname: Quintero
authors.affiliation: Physikalisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany.
authors.forename: Franz G
authors.initials: FG
authors.lastname: Mertens
authors.affiliation: Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: Anatoly
authors.initials: A
authors.lastname: Efimov
authors.affiliation: Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: A R
authors.initials: AR
authors.lastname: Bishop
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D055100:Optical Fibers; D013059:Spectrum Analysis, Raman