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Chirped and chirped free nonautonomous soliton solution for 4 component nonlinear Schrödinger equation in a multimode optical fiber

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  • Mani Rajan, M.S.
  • Triki, Houria
  • Biswas, Anjan

Abstract

In this work, for the first time, analytical nonautonomous soliton solutions for a four-component coupled nonlinear Schrödinger equation with variable coefficients are constructed by means of the similarity transformation technique. A precise balance condition between the gain (loss), dispersion, and nonlinearity, which has a profound implication to control the nonautonomous soliton's dynamics, is obtained. Under this parametric condition, we study how soliton waveforms evolve with different shapes through temporally modulated group-velocity dispersion and nonlinearity parameters. We demonstrated the various rich dynamical behavior for both chirp-free and chirped solitons by a proper selection of the distributed system parameters. These results provide valuable insights into practical observation of optical solitons in real-world potential applications in the field of nonlinear fiber optics and Bose-Einstein condensates. Especially, findings are useful for the understanding of optical soliton in wavelength division multiplexing systems and inhomogeneous nonlinear optical system.

Suggested Citation

  • Mani Rajan, M.S. & Triki, Houria & Biswas, Anjan, 2026. "Chirped and chirped free nonautonomous soliton solution for 4 component nonlinear Schrödinger equation in a multimode optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p2:s0960077925015528
    DOI: 10.1016/j.chaos.2025.117539
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    1. Alam, Md. Nur & Iqbal, Mujahid & Hassan, Mohammad & Fayz-Al-Asad, Md. & Hossain, Muhammad Sajjad & Tunç, Cemil, 2024. "Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
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