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<p>In this paper, we investigate a nonlocal extended complex modified Korteweg-de Vries equation with the variable coefficients. The Lax pair, conservation laws and bilinear forms are constructed explicitly. Under certain conditions, we obtain some types of the one- and two-soliton solutions via the Hirota method. We illustrate those nonlocal solitons via plotting their graphs with certain values of the variable coefficients and parameters. Additionally, the influences of the variable coefficients on those solitons are discussed graphically.</p>

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Solitonic properties for a nonlocal extended complex modified Korteweg-de Vries equation with the variable coefficients

  • 期刊论文

  • 发表日期：

    2025年6月17日

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  • Hao-Dong Liu,
  • Bo Tian,
  • Xiao-Tian Gao,
  • Hong-Wen Shan

摘要

In this paper, we investigate a nonlocal extended complex modified Korteweg-de Vries equation with the variable coefficients. The Lax pair, conservation laws and bilinear forms are constructed explicitly. Under certain conditions, we obtain some types of the one- and two-soliton solutions via the Hirota method. We illustrate those nonlocal solitons via plotting their graphs with certain values of the variable coefficients and parameters. Additionally, the influences of the variable coefficients on those solitons are discussed graphically.