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.
"Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation." Abstr. Appl. Anal. 2013 (SI41) 1 - 13, 2013. https://doi.org/10.1155/2013/750315