Dynamics of Unidirectional Flow and Critical Reflection Speed of Flat-Top Solitons

In this presentation, we build on our prior work in which we demonstrated the unidirectional flow of flat-top solitons interacting with two reflectionless potential wells of varying depths [1]. Governed by a nonlinear Schrödinger equation with dual nonlinearity, our current results further extend the understanding of velocity windows in shallow versus deep potential wells. Additionally, we introduce an examination of soliton behavior by calculating the critical speeds necessary for the reflection and transmission of flat-top solitons. This analysis clarifies the conditions under which specific soliton widths lose their unidirectional flow when interacting with double potential wells from different directions.

[1] M. Alotaibi, L. Al Sakkaf, U. Al Khawaja, Phys. Lett. A 487 (2023) 129120.