2022/04/27 by Phan van Tin, van Tin, Phan
Engineering · Physics and Astronomy · #Optical Network Technologies #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems
paper · pdf · doi:10.48550/arxiv.2204.12754
In [19] and [26], the authors proved the stability of multi-solitons for derivative nonlinear Schrödinger equations. Roughly speaking, sum of finite stable solitons is stable. We predict that if there is one unstable solition then multi-soliton is unstable. This prediction is proved in [7] for classical nonlinear Schrödinger equations. In this paper, we proved this prediction for derivative nonlinear Schrödinger equations by using the method of Côte-Le Coz [7] with the help of Gauge transformation.