On the finite time singularities for a class of Degasperis–Procesi equations. (December 2018)

• Record Type: Journal Article
• Authors: Wu, Xinglong
• Is Part Of: Nonlinear analysis. Volume 44(2018)
• Page Start: 1
• Page End: 17
• Publication Date: 2018-12
• Subjects: 35G25 -- 35L05; A class of Degasperis–Procesi equations -- Local well-posedness -- Finite time singularities -- The lifespan of solution; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.04.005
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: As we all know, the conservation laws take an important part in deriving wave breaking for Degasperis–Procesi (DP) type equation. In the article, we give a new method to study singularities in finite time for a class of DP equations with high nonlinear terms. The paper tells us that the result of wave breaking can be established without the conservation law.