Mathematics, Vol. 12, Pages 1085: Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation

Mathematics, Vol. 12, Pages 1085: Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation

Mathematics doi: 10.3390/math12071085

Authors: Cuiyun Shi Maojun Bin Zaiyun Zhang

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.