Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation

In this article, we mainly prove low regularity conservation laws for the Fokas-Lenells equation in Besov spaces with small initial data both on the line and on the circle. We develop a new technique in Fourier analysis and complex analysis to obtain the a priori estimates. It is based on the pertur...

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Bibliographic Details
Published in:Advances in Nonlinear Analysis
Main Authors: Shan Minjie, Chen Mingjuan, Lu Yufeng, Wang Jing
Format: Article
Language:English
Published: De Gruyter 2024-06-01
Subjects:
Online Access:https://doi.org/10.1515/anona-2024-0014