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Variational principle for Schrödinger-KdV system with the M-fractional derivatives

Journal: Journal of Computational Applied Mechanics (Vol.55, No. 2)

Publication Date:

Authors : ; ; ; ;

Page : 235-241

Keywords : Hamilton principle; fractional calculus; chain rule;

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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.

Last modified: 2024-04-18 03:12:45