Analyticity of the Cauchy problem for two-component Hunter-Saxton systems

作者：Yan, Kai^*; Yin, Zhaoyang

来源：Nonlinear Analysis-Theory Methods & Applications, 2012, 75(1): 253-259.

DOI：10.1016/j.na.2011.08.029

• A generalized two-component mu-Hunter-Saxton system
• Analytic solutions
• Two-component Hunter-Saxton system
• A generalized mu-Hunter-Saxton equation
• Hunter-Saxton equation

This paper is mainly concerned with the periodic Cauchy problem for a generalized two-component mu-Hunter-Saxton system with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time. The obtained result can be also applied to its special cases-the classical integrable two-component Hunter-Saxton system, the generalized mu-Hunter-Saxton equation and the classical Hunter-Saxton equation.

• 出版日期2012-1
• 单位中山大学