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Variational principle for Schrödinger-KdV system with the M-fractional derivatives | ||
| Journal of Computational Applied Mechanics | ||
| مقاله 7، دوره 55، شماره 2، تیر 2024، صفحه 235-241 اصل مقاله (290.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2024.374235.1012 | ||
| نویسندگان | ||
| Man-Li Jiao1؛ JI-Huan He* 2؛ Chun-Hui He3؛ Abdulrahman Ali Alsolami4 | ||
| 1School of Science, Xi'an University of Architecture and Technology, Xi’an, China | ||
| 2National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University,199 Ren-Ai Road, Suzhou, China | ||
| 3School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China | ||
| 4Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Hamilton principle؛ fractional calculus؛ chain rule | ||
| مراجع | ||
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