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

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