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<p>In this paper, we mainly investigate the dynamical behaviors of the interaction of solitons, breathers and rogue waves on the nonzero constant background for the (1+1)-dimensional Ito equation. By employing the Hirota bilinear method, we derive the <i>N</i>-soliton solution and further investigate its degenerate behaviors. As a result, various kinds of localized wave solutions, including breather, rogue wave and their hybrid structure, are derived. What’s more, we demonstrate the interaction features between different localized wave solutions by controlling parameters. These results are of great significance for understanding nonlinear wave dynamics.</p>

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Dynamical Behaviors of the Interaction of Solitons, Breathers and Rogue Waves in the (1+1)-dimensional Ito Equation with the Nonzero Constant Background

  • 期刊论文

  • 发表日期：

    2025年11月20日

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  • Mengyao Zhang,
  • Chuanjian Wang,
  • Yufan Zou,
  • Changzhao Li

摘要

In this paper, we mainly investigate the dynamical behaviors of the interaction of solitons, breathers and rogue waves on the nonzero constant background for the (1+1)-dimensional Ito equation. By employing the Hirota bilinear method, we derive the N-soliton solution and further investigate its degenerate behaviors. As a result, various kinds of localized wave solutions, including breather, rogue wave and their hybrid structure, are derived. What’s more, we demonstrate the interaction features between different localized wave solutions by controlling parameters. These results are of great significance for understanding nonlinear wave dynamics.