Propagation of Solitons in Quasi-periodic Nonlinear Coupled Waveguides

Cardoso, Wesley B.; Avelar, A. T.; Bazeia, D.

doi:10.1007/s13538-020-00836-w

Cited by 6 publications

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, a study was conducted on soliton propagation in nonlinear coupled waveguides described by coupled nonlinear Schrödinger equations. This study introduced quasi-periodic nonlinear couplings to examine their effect on soliton behavior, particularly within the exactly integrable Manakov model framework [38]. Following the previous study presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Following the previous study presented in Ref. [38], this work aims to investigate the influence of quasi-periodic coupling on the dynamics of localized solutions in a system composed of three coupled waveguides. Our study focuses on assessing the stability of the solutions in the presence of quasi-periodic interaction, exploring the ef-fects of both the quasi-periodicity and perturbation amplitude.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of localized solutions in three core coupled waveguides with quasi-periodic nonlinearity

Miranda,

Avelar,

Cardoso

et al. 2024

Preprint

View full text Add to dashboard Cite

In this paper we investigate the behavior of localized solutions, specifically solitons, in a system of three coupled waveguides. The nonlinearity is modeled by a quasi-periodic modulation influencing the interaction between the waveguides. We analyze the evolution of the soliton profiles and their dynamics under varying modulation parameters, highlighting distinct behaviors such as attraction and repulsion among solitons. Our findings reveal that the system exhibits complex behaviors, depending on the interplay between the quasi-periodic modulation and the waveguide parameters. The study contributes to understanding the impact of quasi-periodic nonlinearity on soliton dynamics in coupled waveguide systems, laying the groundwork for potential applications in nonlinear optics and photonic devices.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%