Novel soliton solutions and localized structures of KdV equation

被引：4
作者：
Wang, Shaofu [1 ]
机构：
[1] Guangxi Med Univ, Sch Informat & Management, Nanning 530021, Peoples R China
来源：
RESULTS IN PHYSICS | 2023年 / 50卷
关键词：
KdV; Extended tanh-function method; Riccati equation; Soliton solution; Fractal structure; VARIABLE SEPARATION SOLUTIONS;
D O I：
10.1016/j.rinp.2023.106566
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A (1 + 1)-dimensional Korteweg-de Vries (KdV) equation is studied. Using the extended Tanh-function method, the analytical soliton solutions are obtained by symbolic calculation, and the localized coherent structures containing the compacton, the peakon, periodic multi-solitons and fractal soliton structures are constructed. Through the analysis of various images, the properties of soliton solutions excited by different local structures are discussed and the fractal structure of soliton solutions are further discussed.
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页数：4
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