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Partially nonlocal three-wave control of a nonlinear Schrödinger system: Dark-bright-dark rogue waves and their pair structures

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  • Chen, Li
  • Shi, Su-Guang

Abstract

The partially nonlocal multi-component nonlinear Schrödinger system is significant for modeling partially nonlocal nonlinear responses in multi-division multiplexing optical systems. This study addresses the limited research on three-component systems with distinct rogue wave configurations. We investigate a variable-coefficient 2D partially nonlocal three-component coupled nonlinear Schrödinger system with a linear potential, which we reduce to a constant-coefficient equation to facilitate analytical solutions. Using the Darboux transformation, we derive partially nonlocal dark-bright-dark rogue waves and their paired solutions. We further analyze their excitation regimes–complete, delaying, peak-sustaining, and inhibiting–by comparing the maximal accumulated time with their excited location values. These results enhance our understanding of ultrashort wave phenomena in physics and engineering.

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  • Chen, Li & Shi, Su-Guang, 2025. "Partially nonlocal three-wave control of a nonlinear Schrödinger system: Dark-bright-dark rogue waves and their pair structures," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p2:s0960077925006472
    DOI: 10.1016/j.chaos.2025.116634
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