2019/10/21 by Houria Triki, Vladimir I. Kruglov · 1 citation
Physics and Astronomy · #nlin.PS #nlin.SI
paper · pdf · doi:10.1103/physreve.101.042220
published as Phys. Rev. E 101, 042220 (2020) · 10 pages, 4 figures
arxiv created 2019/10/21 · arxiv updated 2020/05/06
We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schrödinger equation with varying second-, third-, and fourth-order dispersions, cubic nonlinearity, and linear gain or loss. We construct a new type of exact self-similar soliton solutions that takes the structure of dipole via a similarity transformation connected to the related constant-coefficients one. The conditions on the optical fiber parameters for the existence of these self-similar structures are also given. The results show that the contribution of all orders of dispersion is an important feature to form this kind of self-similar dipole pulse shape. The dynamic behaviors of the self-similar dipole solitons in a periodic distributed amplification system are analyzed. The significance of the obtained self-similar pulses is also discussed.