One family of dark-bright solitons with striking width differences

TL;DR

This paper introduces a new family of dark-bright solitons with significantly different component widths, derived analytically, and discusses their broader existence regimes and potential for experimental observation in various nonlinear systems.

Contribution

It presents analytical solutions for dark-bright solitons with different widths and explores their wider existence regimes compared to previous models.

Findings

Existence of dark-bright solitons with different widths.

Wider parameter regimes for these solitons.

Potential for experimental observation in optical fibers and BECs.

Abstract

Most of previously reported dark-bright solitons admit identical width for the two components in both theoretical and experimental studies. We report dark-bright solitons can admit strikingly different widths, and derive a family of analytical solutions for them by Lagrangian variational method. The existence regimes for these solitons become much more widespread in the space of nonlinear parameters, than the ones for the previously known dark-bright solitons with identical width. Our analysis indicates that the effective quantum wells are quite different in the two components, in sharp contrast to the ones for all previously known vector solitons. Especially, the particle number of bright soliton can be used to control the generation of dark-bright solitons with varied ratios of solitons' widths. Based on the current experimental technologies, we propose an experimental scheme for observing these novel dark-bright solitons. The results suggest that abundant vector solitons with difference widths exist in multi-components coupled systems, and would inspire experiments to observe them in nonlinear optical fibers, Bose-Einstein condensates, and other nonlinear coupled systems.