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<p>This article delves into the dynamics of chirped solitons within the Triki–Biswas equation, particularly when coupled with multiplicative white noise. The study employs a novel mapping method as its primary analytical tool to investigate the behavior and properties of solitons under specified conditions. The research uncovers various new soliton solutions through meticulous analysis, including bright, singular, and straddled solitons. Importantly, each identified soliton solution distinctly corresponds to a specific chirp, revealing the intricate relationship between the soliton structure and its chirping phenomenon. A noteworthy aspect of this work is introducing and examining the governing model infused with this new structure, representing the first instance of such a study. This innovative approach enhances our comprehension of chirped solitons in the presence of noise. Further, it explores the dynamic behaviors of solitons influenced by external disturbances, offering valuable insights into nonlinear science and soliton theory.</p>

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New mapping method and its applications to novel chirped solitary wave solutions of the stochastic Triki–Biswas equation

  • 期刊论文

  • 发表日期：

    2026年4月10日

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  • Elsayed M. E. Zayed,
  • Basel M. M. Saad,
  • Ahmed H. Arnous,
  • Yakup Yildirim,
  • Nehad Ali Shah,
  • Jae Dong Chung

摘要

This article delves into the dynamics of chirped solitons within the Triki–Biswas equation, particularly when coupled with multiplicative white noise. The study employs a novel mapping method as its primary analytical tool to investigate the behavior and properties of solitons under specified conditions. The research uncovers various new soliton solutions through meticulous analysis, including bright, singular, and straddled solitons. Importantly, each identified soliton solution distinctly corresponds to a specific chirp, revealing the intricate relationship between the soliton structure and its chirping phenomenon. A noteworthy aspect of this work is introducing and examining the governing model infused with this new structure, representing the first instance of such a study. This innovative approach enhances our comprehension of chirped solitons in the presence of noise. Further, it explores the dynamic behaviors of solitons influenced by external disturbances, offering valuable insights into nonlinear science and soliton theory.