DOI: 10.3390/math12071085 ISSN: 2227-7390

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

Cuiyun Shi, Maojun Bin, Zaiyun Zhang
  • General Mathematics
  • Engineering (miscellaneous)
  • Computer Science (miscellaneous)

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.

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