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<p>In this study, we address the coupled nonlinear Schrödinger equation in cubic-quintic nonlinearity coupled with a nonlocal form of nonlinearity. The model was applied to the propagation of optical pulses in fibers. Using the new modified sub-ODE approach and the enhanced version of Kudryashov’s scheme, novel optical soliton solutions have emerged that comprise dark, bright, singular solitons, doubly periodic, and combo optical solitons. The existence criteria for such solitons have also been specified. An optical soliton is a wave packet that propagates at a steady velocity with negligible losses across long distances without altering form. Therefore, the explored solutions and their dynamical wave patterns are very important for comprehending how they can be used in optical couplers, birefringent fibers, and optoelectronic systems that utilize solitons for data transmission. These results are in contrast with earlier findings published in the literature. By implementing modulation instability, a linear stability analysis of the considered model was carried out.</p>

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Diverse Optical Solitons of Coupled Nonlinear Schrödinger’s Equation with a Nonlocal Form of Nonlinearity via Two Analytical Approaches and Modulation Instability Analysis

  • 期刊论文

  • 发表日期：

    2025年3月13日

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  • Parveen,
  • Sunita Dahiya,
  • Parvesh Kumari,
  • Hitender Kumar,
  • Anand Malik,
  • Manjeet Singh Gautam

摘要

In this study, we address the coupled nonlinear Schrödinger equation in cubic-quintic nonlinearity coupled with a nonlocal form of nonlinearity. The model was applied to the propagation of optical pulses in fibers. Using the new modified sub-ODE approach and the enhanced version of Kudryashov’s scheme, novel optical soliton solutions have emerged that comprise dark, bright, singular solitons, doubly periodic, and combo optical solitons. The existence criteria for such solitons have also been specified. An optical soliton is a wave packet that propagates at a steady velocity with negligible losses across long distances without altering form. Therefore, the explored solutions and their dynamical wave patterns are very important for comprehending how they can be used in optical couplers, birefringent fibers, and optoelectronic systems that utilize solitons for data transmission. These results are in contrast with earlier findings published in the literature. By implementing modulation instability, a linear stability analysis of the considered model was carried out.