Scholarlink

<p>This work investigates the dynamical behavior of soliton solutions for a (3+1)-dimensional Boussinesq model, a key equation in describing nonlinear wave phenomena in multi dimensional settings. Two distinctive analytical techniques, the Chamani method (CHAM) and Kudryashov’s auxiliary equation method, are employed to derive exact soliton solutions. The Chamani method utilizes a systematic framework to construct analytical solutions by reducing the governing equation to a simpler form, while Kudryashov’s auxiliary method incorporates a polynomial form of solutions to extract explicit solitonic structures. Comparison of these methods reveals intricate features of the soliton solutions, including their propagation, interaction dynamics, and stability properties. The study provides valuable insights into the rich nonlinear dynamics of higher-dimensional systems and demonstrates the efficacy of these methods in addressing complex models in mathematical physics. Additionally, by selecting various constant values, we create 2<i>D</i>, 3<i>D</i> and related contour plots to be aware of the physical interpretations of these solutions. Therefore, we obtain superior physical behaviors from these 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

Investigation of the dynamical perspective of soliton solutions to the (3+1)-dimensional boussinesq model using two distinctive methods

  • 期刊论文

  • 发表日期：

    2025年6月9日

查看全文
  • Ghaus ur Rahman,
  • Abdullah,
  • Mutum Zico Meetei,
  • J. F. Gómez-Aguilar

摘要

This work investigates the dynamical behavior of soliton solutions for a (3+1)-dimensional Boussinesq model, a key equation in describing nonlinear wave phenomena in multi dimensional settings. Two distinctive analytical techniques, the Chamani method (CHAM) and Kudryashov’s auxiliary equation method, are employed to derive exact soliton solutions. The Chamani method utilizes a systematic framework to construct analytical solutions by reducing the governing equation to a simpler form, while Kudryashov’s auxiliary method incorporates a polynomial form of solutions to extract explicit solitonic structures. Comparison of these methods reveals intricate features of the soliton solutions, including their propagation, interaction dynamics, and stability properties. The study provides valuable insights into the rich nonlinear dynamics of higher-dimensional systems and demonstrates the efficacy of these methods in addressing complex models in mathematical physics. Additionally, by selecting various constant values, we create 2D, 3D and related contour plots to be aware of the physical interpretations of these solutions. Therefore, we obtain superior physical behaviors from these solutions.