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Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-07-26 , DOI: 10.1016/j.geomphys.2021.104338
Xiao Hong 1 , Jalil Manafian 2, 3 , Onur Alp Ilhan 4 , Arshad Ilyas Ali Alkireet 5 , Mahyuddin K.M. Nasution 6
Affiliation  

The multiple Exp-function method is employed for searching the multiple soliton solutions for the (2+1)-dimensional generalized Hirota-Satsuma-Ito (HSI) equation, which contain one-soliton, two-soliton, and triple-soliton kind solutions. Then the lump and interaction solutions are also obtained by the Hirota method for the aforementioned equation. For these obtained solutions, they are mentioned in the theory of the shallow water wave. On the other hand, these three-dimensional, contour, density, and two-dimensional stereograms of the 1-, 2-soliton solutions are depicted with the physical parameter changing. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values.



中文翻译:

浅水波中广义Hirota-Satsuma-Ito方程的多重孤子解

采用多重Exp函数法搜索(2+1)维广义Hirota-Satsuma-Ito (HSI)方程的多重孤子解,该方程包含一孤子、二孤子和三孤子类解. 然后通过 Hirota 方法也可以得到上述方程的块解和相互作用解。对于这些得到的解,在浅水波理论中都有提到。另一方面,这些1-、2-孤子解的三维、轮廓、密度和二维立体图是随着物理参数的变化而描绘的。通过选择合适的值,对这些获得的多孤子解的物理现象进行了分析和图示。

更新日期:2021-09-16
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