VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE

被引：39

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.

引用

页数：4

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