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;
- Variational principle for Schrödinger-KdV system with the M-fractional derivatives
- Variational principle for the Kaup-Newell system
- The Variational Principle and the Phonon Boltzmann Equation
- FRACTIONAL OPTIMAL CONTROL OF THE TIME FRACTIONAL DIFFUSION SYSTEM
- The properties of Bessel-type fractional derivatives and integrals
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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Last modified: 2024-04-18 03:12:45