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<p>The nonlinear Schrödinger equation with time variable coefficients and cubic-quintic nonlinearity term is the main mathematical model to describe the evolution of optical solitons in optical fiber transmission. In order to analyze its evolution law, firstly, the nonlinear Schrödinger equation with time variable coefficients and cubic-quintic nonlinearity term is transformed into a normal partial differential equations by wave transform. Then, with the help of assumptions, some exact solutions are obtained. At the same time, the relationship between the amplitude and wave velocity of these solutions and the coefficients are obtained. It is found that the amplitude and wave velocity of these solutions are strongly related to time.</p>

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Bright and dark solitons solutions of a generalized (3+1)-dimensional cubic-quintic nonlinear Schrödinger equation with time variable coefficients

  • 期刊论文

  • 发表日期：

    2025年3月31日

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  • Guosheng Tang,
  • Xuetong Zhu,
  • Zixuan Tan,
  • Gangwei Wang

摘要

The nonlinear Schrödinger equation with time variable coefficients and cubic-quintic nonlinearity term is the main mathematical model to describe the evolution of optical solitons in optical fiber transmission. In order to analyze its evolution law, firstly, the nonlinear Schrödinger equation with time variable coefficients and cubic-quintic nonlinearity term is transformed into a normal partial differential equations by wave transform. Then, with the help of assumptions, some exact solutions are obtained. At the same time, the relationship between the amplitude and wave velocity of these solutions and the coefficients are obtained. It is found that the amplitude and wave velocity of these solutions are strongly related to time.