Scholarlink

<p>The main objective of this study is to explore the soliton dynamics of the Stochastic Potential Korteweg–de Vries (SPKdV) equation, a key model in nonlinear optical solitons, photon dynamics, electrical circuits, and multicomponent plasmas. Initially, we apply a wave transformation, which converts the third-order nonlinear PDE into a third-order ODE. Analytical solutions were obtained using the generalized Riccati equation mapping method. The effects of the stochastic term, dispersion coefficient, and nonlinearity coefficient were examined through graphical analysis. Three-dimensional, two-dimensional, and contour plots were generated in Maple (2024) to illustrate the influence of the stochastic parameter on the solutions. Finally, a stability analysis of the considered model is conducted to examine the robustness of the solutions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Analytical soliton solutions and stability of the stochastic potential KdV equation

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月13日

查看全文
  • Asad Ullah Khan,
  • Abdulaziz Khalid Alsharidi

摘要

The main objective of this study is to explore the soliton dynamics of the Stochastic Potential Korteweg–de Vries (SPKdV) equation, a key model in nonlinear optical solitons, photon dynamics, electrical circuits, and multicomponent plasmas. Initially, we apply a wave transformation, which converts the third-order nonlinear PDE into a third-order ODE. Analytical solutions were obtained using the generalized Riccati equation mapping method. The effects of the stochastic term, dispersion coefficient, and nonlinearity coefficient were examined through graphical analysis. Three-dimensional, two-dimensional, and contour plots were generated in Maple (2024) to illustrate the influence of the stochastic parameter on the solutions. Finally, a stability analysis of the considered model is conducted to examine the robustness of the solutions.