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- Title
Analytic solutions of the Cauchy problem for two-component shallow water systems.
- Authors
Yan, Kai; Yin, Zhaoyang
- Abstract
This paper is mainly concerned with the Cauchy problem for a modified two-component Camassa-Holm shallow water system with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time. The obtained results can be also applied to the classical integrable two-component Camassa-Holm shallow water system and the b-equation.
- Subjects
NUMERICAL solutions to the Cauchy problem; MATHEMATICAL variables; NUMERICAL solutions to equations; GENERALIZED spaces; MATHEMATICAL analysis
- Publication
Mathematische Zeitschrift, 2011, Vol 269, Issue 3/4, p1113
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-010-0775-5