VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE

被引：42
作者：
Shen, Yue [1 ]
He, Ji-Huan [1 ,2 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian, Shaanxi, Peoples R China
[2] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, 199 Ren Ai Rd, Suzhou, Jiangus, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2020年 / 28卷 / 04期
关键词：
Semi-Inverse Method; Variational Theory; Fractal Calculus; MODEL; CALCULUS;
D O I：
10.1142/S0218348X20500693
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized KdV equation with fractal derivatives is suggested, and a special function is introduced to establish a fractal variational principle. A detailed derivation is elucidated step by step by the semi-inverse method, and some special cases are discussed.
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页数：4
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