Density-fluctuation symbolic computation on the (3+1)-dimensional variable-coefficient Kudryashov-Sinelshchikov equation for a bubbly liquid with experimental support

作者：Gao, Xin-Yi^*

来源：Modern Physics Letters B, 2016, 30(15): 1650217.

DOI：10.1142/S0217984916502171

• Bubbly liquid
• (3+1)-dimensional variable-coefficient Kudryashov-Sinelshchikov equation
• Backlund transformation
• solitonic solutions
• symbolic computation

Liquids with gas bubbles are commonly seen in medical science, natural science, daily life and engineering. Nonlinear-wave symbolic computation on the (3 + 1)-dimensional variable-coefficient Kudryashov-Sinelshchikov model for a bubbly liquid is hereby performed. An auto-Backlund transformation and with some solitonic solutions are obtained. With respect to the density fluctuation of the bubble-liquid mixture, both the auto-Backlund transformation and solitonic solutions depend on the bubble liquid-viscosity, transverse-perturbation, bubble-liquid-nonlinearity and bubble-liquid dispersion coefficient functions. We note that some shock waves given by our solutions have been observed by the gas-bubble/liquid-mixture experiments. Effects on a bubbly liquid with respect to the bubble-liquid-viscosity, transverse-perturbation, bubble-liquidnonlinearity and bubble-liquid-dispersion coefficient functions might be detected by the future gas-bubble/liquid-mixture experiments.

• 出版日期2016-6-10
• 单位中央民族大学