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<p>This study investigates the wave solutions of the Kudryashov-Sinelshchikov equation with variable coefficients and focuses on the discussion of the generated solutions within the framework of mathematical physics. The transformations of the generated wave solutions, supported by stability analysis, into shock wave profiles are analysed. The time coefficient functions contained in the equation and the effects of the parameters in the solutions are discussed by considering dispersion, diffusion and advection processes. This prominent feature of the study emphasises its difference from the studies in the literature. The results of this research enhance the scientific diversity of the solutions produced but are also expected to provide a different perspective on the solutions of nonlinear wave systems.</p>

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Analysis of Physical Processes of the Kudryashov-Sinelshchikov Equation with Variable Coefficients

  • 期刊论文

  • 发表日期：

    2025年5月9日

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  • Serbay Duran

摘要

This study investigates the wave solutions of the Kudryashov-Sinelshchikov equation with variable coefficients and focuses on the discussion of the generated solutions within the framework of mathematical physics. The transformations of the generated wave solutions, supported by stability analysis, into shock wave profiles are analysed. The time coefficient functions contained in the equation and the effects of the parameters in the solutions are discussed by considering dispersion, diffusion and advection processes. This prominent feature of the study emphasises its difference from the studies in the literature. The results of this research enhance the scientific diversity of the solutions produced but are also expected to provide a different perspective on the solutions of nonlinear wave systems.