By constructing a scale of decreasing Banach spaces and using the abstact Cauchy-Kowalevski theorem,analyticity of the solutions to Cauchy problem associated with a μ-Camassa-Holm equation with high-order nonlinearity is studied in this paper.The results can be directly applied to μ-Camassa-Holm equation and Hunter-Saxton equation.
关键词
高阶μ-Camassa-Holm方程/抽象的Cauchy-Kowalevski定理/解析性
Key words
μ-Camassa-Holm equation with high-order nonlinearity/abstract Cauchy-Kowalevski theorem/analyticity
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