On a two-component Degasperis–Procesi shallow water system

✍ Scribed by Liangbing Jin; Zhengguang Guo

• Book ID: 103864695
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 317 KB
• Volume: 11
• Category: Article
• ISSN: 1468-1218
• DOI: 10.1016/j.nonrwa.2010.05.003

✦ Synopsis

We consider a two-component Degasperis-Procesi system which arises in shallow water theory. We analyze some aspects of blow up mechanism, traveling wave solutions and the persistence properties. Firstly, we discuss the local well-posedness and blow up criterion; a new blow up criterion for this system with the initial odd condition will be established. Finally, the persistence properties of strong solutions will also be investigated.