Dark-bright-dark rogue wave triplets within a partially nonlocal three-component nonlinear Schrödinger framework

Abstract

The partially nonlocal multi-component nonlinear Schrödinger system holds significant application potential for modeling partially nonlocal nonlinear responses in multi-division multiplexing optical information systems. However, research exploring three-component systems with distinct rogue wave configurations remains notably scarce. In this study, we address this gap by investigating a variable-coefficient (2+1)-dimensional partially nonlocal three-component nonlinear Schrödinger system, which is systematically reduced to a constant-coefficient three-component equation for analytical solution construction. By employing the Darboux transformation, we successfully derive partially nonlocal dark-bright-dark rogue wave triplet solutions. Furthermore, we comprehensively analyze various excitation regimes of these rogue wave triplets in the exponential diffraction system, including full, trailing, peak-maintaining, and inhibited excitations. This analysis is conducted through a comparative examination of the maximal accumulated time relative to the excited location parameters of the rogue wave triplets. The insights gained from this study significantly enhance our fundamental understanding of ultrashort wave phenomena observed across diverse physics and engineering domains.