Fractal modification of Schrödinger equation and its fractal variational principle-Reference-Cited by-同舟云学术

Fractal modification of Schrödinger equation and its fractal variational principle

Published:2023 Issue:3 Part A Volume:27 Page:2029-2037
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Sun Jianshe¹

Affiliation:

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

Abstract

With the help of a new fractal derivative, a fractal model for variable coefficients and highly non-linear Schr?dinger equations on a non-smooth boundary are acquired. The variational principles of the fractal variable coefficients and highly non-linear Schr?dinger equations are built successfully by coupling fractal semi-inverse and He?s two-scale transformation methods, which are helpful to reveal the symmetry, to discover the conserved quantity, and the obtained variational principles have widespread applications in numerical simulation.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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