Variational principle for Schrödinger-KdV system with the M-fractional derivatives
Journal: Journal of Computational Applied Mechanics (Vol.55, No. 2)Publication Date: 2024-04-01
Authors : Man-Li Jiao; JI-Huan He; Chun-Hui He; Abdulrahman Ali Alsolami;
Page : 235-241
Keywords : Hamilton principle; fractional calculus; chain rule;
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.
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