Variational principle for fractal high-order long water-wave equation-Reference-Cited by-同舟云学术

Variational principle for fractal high-order long water-wave equation

Published:2023 Issue:3 Part A Volume:27 Page:1899-1905
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Sun Jianshe¹

Affiliation:

1. School of Mathematics, Jiaozuo Teacher's College, Jiaozuo, China + Institute of Mathematics and Interdisciplinary Science, Jiaozuo Teacher's College, Jiaozuo, China + School of Mathematics, China University of Mining and Technology, Xuzhou, China

Abstract

In this article, we mainly consider a modification of the high-order long water-wave equation with unsmooth boundaries by adopting a new fractal derivative. Its fractal variational principles are successfully constructed by the fractal semi-inverse method, the obtained principles are helpful to study the symmetry, to discover the conserved quantity, and to have wide applications in numerical simulation.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference44 articles.

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