Exact solitary wave solution for fractal shallow water wave model by He's variational method

被引：28
作者：
Wang, Kang-Le [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 07期
关键词：
Fractal calculus; variational principle; semi-inverse method; variational transform method; PARAMETER;
D O I：
10.1142/S0217984921506028
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, the shallow water wave with unsmooth boundaries is depicted by fractal calculus, and its exact fractal solitary wave solution is successfully found by He's variational method. The numerical examples demonstrate that the method is simple, efficient and convenient. Finally, we elaborate the physical properties of the fractal solitary solution by some graphs. The novel scheme clears up the road to the exact fractal soliton, and it sheds a new light on the fractal soliton theory.
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页数：9
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