Spatial analyticity of solutions for a coupled system of generalized KdV equations

2022/01/30 by A. Atmani, Atmani, A., Aissa Boukarou +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2201.12864

openalex publication_date 2022/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The solution of a coupled system consisting of generalized Korteweg-de Vries-type equations is obtained for all time where the initial data are analytic on a band in the complex plane. We show that the width of this band decreases algebraically with time.

Cited by

• A Coupled Generalized Korteweg-de Vries System Driven by White Noise

Related

• On the radius of spatial analyticity for the Majda-Biello and Hirota-Satsuma systems
• Lower bounds on the radius of spatial analyticity for the KdV equation
• Improved algebraic lower bound for the radius of spatial analyticity for the generalized KdV equation
• Spatial Analyticity of solutions to integrable systems. I. The KdV case
• New lower bounds on the radius of spatial analyticity for the KdV equation