ArticleOpen Access

VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE

YUE SHEN

http://orcid.org/0000-0002-0463-4487

School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi, P. R. China

E-mail Address: yshen@xauat.edu.cn

Corresponding author.

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and

JI-HUAN HE

School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi, P. R. China

National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, Jiangus, P. R. China

E-mail Address: hejihuan@suda.edu.cn

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https://doi.org/10.1142/S0218348X20500693Cited by:22 (Source: Crossref)

Abstract

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.

Keywords:

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