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<p>This article investigates the qualitative behavior and solitary wave solutions of the extended (3+1)-dimensional Sakovich equation from fluid dynamics. By using a traveling wave transformation, the new extended (3+1)-dimensional Sakovich equation can be transformed into the nonlinear ordinary differential equation, and then the two-dimensional phase portrait, three-dimensional phase portrait of the planar dynamical system and its perturbation system of the nonlinear ordinary differential equation can be discussed. Based on the third-order fully discriminative system method, all solitary wave solutions of the new extended (3+1)-dimensional Sakovich equation are constructed, and their three-dimensional and two-dimensional images are plotted.</p>

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Qualitative analysis and solitary wave solutions of the new extended (3+1)-dimensional Sakovich equation in fluid dynamics

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月1日

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  • Musong Gu,
  • Fanming Liu

摘要

This article investigates the qualitative behavior and solitary wave solutions of the extended (3+1)-dimensional Sakovich equation from fluid dynamics. By using a traveling wave transformation, the new extended (3+1)-dimensional Sakovich equation can be transformed into the nonlinear ordinary differential equation, and then the two-dimensional phase portrait, three-dimensional phase portrait of the planar dynamical system and its perturbation system of the nonlinear ordinary differential equation can be discussed. Based on the third-order fully discriminative system method, all solitary wave solutions of the new extended (3+1)-dimensional Sakovich equation are constructed, and their three-dimensional and two-dimensional images are plotted.