On some wave breaking for the nonlinear integrable shallow water wave equations. (November 2015)

• Record Type: Journal Article
• Authors: Wu, Xinglong
• Is Part Of: Nonlinear analysis. Volume 127(2015)
• Page Start: 352
• Page End: 361
• Publication Date: 2015-11
• Subjects: 35G25 -- 35L05; Wave breaking -- Blow-up scenario -- The Camassa–Holm equation -- The Degasperis–Procesi equation -- The lifespan of solution; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.07.015
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Wave breaking of the water wave is important and interesting to physicists and mathematicians. In this paper, based on the conservation laws and the blow-up scenario, some new blow-up phenomena are derived for the Camassa–Holm equation and Degasperis–Procesi equation, which have attracted much attention due to their structure.