Affiliation:
1. School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, P. R. China
Abstract
In this work, the variational direct method (VDM) based on the variational theory and Ritz-like method, combined with the fractal two-scale transformation, is employed to construct the semi-domain solutions of the (3+1)-dimensional fractal Jimbo–Miwa (JM) equation, which is derived by He’s fractal derivative. The applicability and effectiveness of the acquired solutions on the Cantor sets are presented through the numerical results in the form of 3-dimensional graphs. In addition, as a comparison, the exact solutions of the classic (3+1)-dimensional JM equation for [Formula: see text] are also illustrated. The obtained results in this work are expected to open new perspectives for the traveling wave theory.
Funder
Youth Project of Guangdong Province Basic and Applied Basic Research Fund
National Key R&D Program of China
Science and Technology Development Plans in Key Areas of Guangzhou
Guangzhou Basic Research Program
Scientific Research Startup Project of Guangdong Polytechnic Normal University
Publisher
World Scientific Pub Co Pte Ltd
Cited by
8 articles.
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