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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 认领 引用
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作者 GAO Xin-yi LIU Jian-guo WANG Gang-wei 《China Ocean Engineering》 SCIE EI CSCD 2026年第3期695-703,共9页
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 genera... 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. 展开更多
关键词 marine engineering ocean dynamics symbolic computation (2+1)-dimensional generalized variablecoefficient Date-Jimbo-Kashiwara-Miwa equation Bäcklund transformation solitons similarity reductions
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