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<p>Current marine-engineering and ocean-dynamics studies have been very active. On account of marine engineering, ocean dynamics, fluid mechanics, plasma physics and nonlinear optics, we hereby study a (2+1)-dimensional generalized variable-coefficient Date-Jimbo-Kashiwara-Miwa equation, for which we build up certain auto-Bäcklund transformation via a noncharacteristic movable singular manifold, solitonic solutions, analytic solutions as well as similarity reductions. As for the wave amplitude, our results depend on the variable coefficients, some of which denote the dispersion in space and space-time, separately, while some of which are caused by the geometric or physical inhomogeneities, such as the changing radius and medium density. No variable-coefficient constraints are involved in the analysis. This work may be of some theoretical use in assisting the future studies in marine engineering, ocean dynamics, fluid mechanics, plasma physics and nonlinear optics.</p>

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On a (2+1)-Dimensional Generalized Variable-Coefficient Date-Jimbo-Kashiwara-Miwa Equation with the Marine-Engineering and Ocean-Dynamics Applications

  • 期刊论文

  • 发表日期：

    2026年4月4日

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  • Xin-yi Gao,
  • Jian-guo Liu,
  • Gang-wei Wang

摘要

Current marine-engineering and ocean-dynamics studies have been very active. On account of marine engineering, ocean dynamics, fluid mechanics, plasma physics and nonlinear optics, we hereby study a (2+1)-dimensional generalized variable-coefficient Date-Jimbo-Kashiwara-Miwa equation, for which we build up certain auto-Bäcklund transformation via a noncharacteristic movable singular manifold, solitonic solutions, analytic solutions as well as similarity reductions. As for the wave amplitude, our results depend on the variable coefficients, some of which denote the dispersion in space and space-time, separately, while some of which are caused by the geometric or physical inhomogeneities, such as the changing radius and medium density. No variable-coefficient constraints are involved in the analysis. This work may be of some theoretical use in assisting the future studies in marine engineering, ocean dynamics, fluid mechanics, plasma physics and nonlinear optics.