Abstract
This paper investigates the periodically weak conservative solutions for a modified periodic two-component Camassa-Holm system arisen from shallow water waves moving. The underlying approach is based on a system reformulation by introducing a skillfully defined characteristic and a set of newly defined variables. Such treatment makes it possible to overcome the difficulties inherent in the multicomponent system, leading to the establishment of the periodic conservative solutions for the original system. © 2013 Yujuan Wang and Yongduan Song.
| Original language | English |
|---|---|
| Article number | 437473 |
| Journal | Abstract and Applied Analysis |
| Volume | 2013 |
| Early online date | 5 Dec 2013 |
| DOIs | |
| Publication status | Published - Dec 2013 |
| Externally published | Yes |
Bibliographical note
The authors would like to thank the referees for constructive suggestions and comments.Funding
The paper is supported by the Major State Basic Research Development Program 973 (no. 2012CB215202) and the National Natural Science Foundation of China (no. 61134001).