Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation

الملخص EN

This paper is concerned with blow-up phenomena and persistence properties for an integrable two-component Dullin-Gottwald-Holm shallow water system.

We give sufficient conditions on the initial data which guarantee blow-up phenomena of solutions in finite time for both periodic and nonperiodic cases, respectively.

Furthermore, the persistence properties of solutions to the system are investigated.