Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation

Cuiyun Shi, Maojun Bin and Zaiyun Zhang ()
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Cuiyun Shi: School of Basic Science, Guilin University of Technology at Nanning, Nanning 530001, China
Maojun Bin: Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin 537000, China
Zaiyun Zhang: Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin 537000, China

Mathematics, 2024, vol. 12, issue 7, 1-12

Abstract: In this paper, we investigate the Cauchy problem for a three-component generalization of Camassa–Holm equation (G3CH equation henceforth) with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time.

Keywords: G3CH equation; analyticity; abstract Cauchy–Kowalevski theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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