Title of article
Variational principle for Schrödinger-KdV system with the M-fractional derivatives
Author/Authors
Jiao ، Man-Li School of Science - Xi an University of Architecture and Technology , He ، JI-Huan National Engineering Laboratory for Modern Silk - College of Textile and Clothing Engineering - Soochow University , He ، Chun-Hui School of Mathematics - China University of Mining and Technology , Alsolami ، Abdulrahman Ali Department of Mathematics - Faculty of Science - King Abdulaziz University
From page
235
To page
241
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
Hamilton principle , fractional calculus , chain rule
Journal title
Journal of Computational Applied Mechanics
Journal title
Journal of Computational Applied Mechanics
Record number
2767502
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