Variational principle for Schrödinger-KdV system with the M-fractional derivatives
نویسندگان
1 School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China
2 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
3 School of Science, Xi'an University of Architecture and Technology, Xi’an, China
4 National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University,199 Ren-Ai Road, Suzhou, China
doi
10.22059/jcamech.2024.374235.1012چکیده
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.
