Manakov model with gain/loss terms and N-soliton interactions: Effects of periodic potentials

2018/01/15 by Vladimir S. Gerdjikov, V. S. Gerdjikov, Gerdjikov, V. S. +3
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.1801.04897

31 pages. 16 figures

openalex publication_date 2018/01/15 · arxiv created 2018/01/17 · arxiv updated 2018/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the perturbed nonlinear Schrodinger (NLS) equation and the Manakov model. The perturbations include the simultaneous by a periodic external potential, and linear and nonlinear gain/loss terms. We derive the corresponding perturbed complex Toda chain (PCTC) models for both NLS and Manakov model. We show that the soliton interactions dynamics for the PCTC models compares favorably to full numerical results of the original perturbed NLS and Manakov model.

Citations

• Non-Conservative Variational Approximation for Nonlinear Schroedinger Equations

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