Blow-up solution and analyticity to a generalized Camassa-Holm equation

Abstract

A generalized Camassa-Holm equation with higher order nonlinear term was studied. First, we give a new blow-up criterion and a new blow-up phenomenon to the Cauchy problem for the equation under some conditions. Then, we focus on the analytical solutions for the equation. Finally, we prove the analyticity of solution for the equation.

Keywords

• blow-up criterion
• blow-up phenomenon
• analytical solutions
• analyticity
• a generalized camassa-holm equation