VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE-Reference-Cited by-同舟云学术

VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE

Published:2020-06 Issue:04 Volume:28 Page:2050069
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SHEN YUE¹^ORCID,HE JI-HUAN¹²

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20500693

Reference23 articles.

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