Wave‐breaking phenomenon for a generalized spatially periodic Camassa–Holm system. (14th April 2014)

• Record Type: Journal Article
• Authors: Yu, Shengqi
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 7(2015:May 15)
• Page Start: 1405
• Page End: 1417
• Publication Date: 2014-04-14
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3155
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma3155-abs-0001"> <title>Abstract</title> <p id="mma3155-para-0001">Considered herein is a generalized two‐component Camassa–Holm system in spatially periodic setting. We first prove two conservation laws; then under proper assumptions on the initial data, we show the precise blow‐up scenarios and sufficient conditions guaranteeing the formation of singularities to the solutions of the generalized Camassa–Holm system. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>