SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system

Sen Ming1, Han Yang1* and Ls Yong2

Author Affiliations

1 School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China

2 Department of Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China

For all author emails, please log on.

Boundary Value Problems 2014, 2014:108  doi:10.1186/1687-2770-2014-108

Published: 9 May 2014

Abstract

The persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system are investigated. We find that if the initial data with their derivatives of the system exponentially decay at infinity, then the corresponding solution also exponentially decays at infinity.

MSC: 35G25, 35L15, 35Q58.

Keywords:
2-component; Degasperis-Procesi system; dissipative; persistence properties