Title of article :
Variational principle for the Kaup-Newell system
Author/Authors :
Wu ، Yue College of Economics and Management - Shanghai University of Political Science and Law , He ، JI-Huan School of Mathematics and Information Science - Henan Polytechnic University
Abstract :
The Kaup-Newell system describes the pulse propagation in optical fibers. This paper applies the semi-inverse method to construct the system’s variational formulations, two trial-variational formulations with an unknown function are established, and a detailed derivation is given to determine the unknown function. Finally, the Kaup-Newell system with two variables is converted to a partial differential equation with only one variable.
Keywords :
Variational theory , Calculus of variations , Lagrange multiplier , Schrödinger equation , potential function
Journal title :
Journal of Computational Applied Mechanics
Journal title :
Journal of Computational Applied Mechanics
