Effect of coherence relaxation on the propagation of optical solitons: An analytical and numerical case study on asymptotic perturbation theory
The authors study the propagation of a real soliton in the presence of collisional coherence decay. The damping term in the nonlinear scattering equation is treated as a small perturbation. By using Kaup's formulation on asymptotic perturbation theory and the symmetry properties of the related sine-Gordon equation, in case the contribution of the continuous spectrum is neglected, the soliton parameters are calculated both to first order and to all orders in the coupling constant. Numerical results confirm the validity of the latter results.
scientific article; zbMATH DE number 3991991