Variational principle for the Kaup-Newell system

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Wu Yue; He JI Huan

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Journal Paper

Paper Information

Journal: THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS Year:621 | Volume: | Issue: Page(s): 405-409

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Information Journal Paper

Title

Variational principle for the Kaup-Newell system

Author(s)

Wu Yue | He JI Huan | Issue Writer Certificate

Keywords

Variational theoryQ4

Calculus of variationsQ4

Lagrange multiplierQ4

Schrö dinger equationQ4

Potential functionQ4

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.

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