A study on the stability of a modified Degasperis–Procesi equation

A modified Degasperis–Procesi equation is investigated. The local existence and uniqueness of the strong solution for the equation are established in the Sobolev space $ H^{s}(R) $ with $ s>\frac{3}{2} $. The $ L^{1}(R) $ local stability for the strong solution is obtained under certain assumptio...

Full description

Bibliographic Details
Main Author: Jing Chen
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2016.1251875