Variational principle for Schrödinger-KdV system with the M-fractional derivatives
Document Type : Research Paper
Authors
1 School of Science, Xi'an University of Architecture and Technology, Xi’an, China
2 National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University,199 Ren-Ai Road, Suzhou, China
3 School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China
4 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
Abstract
The variational theory is an inextricable part of both continuum mechanics and physics, and plays an important role in mathematics and nonlinear science, however it is difficult to find a variational formulation for a nonlinear system, and it is more difficult for a fractional differential system. This paper is to search for a variational formulation for the Schrödinger-KdV system with M-fractional derivatives. The fractional complex transformation is used to convert the system into a traditional differential system, and the semi-inverse method is further applied to establish a needed variational principle.
Keywords
Main Subjects
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Volume 55, Issue 2
April 2024Pages 235-241
- Receive Date: 22 March 2024
- Revise Date: 24 March 2024
- Accept Date: 25 March 2024