Sufficient conditions of blowup to a shallow water wave equation

Changtai Zhou; Jin Hong; Shaoyong Lai

Results in Applied Mathematics (Aug 2024)

Sufficient conditions of blowup to a shallow water wave equation

Changtai Zhou,
Jin Hong,
Shaoyong Lai

Affiliations

Changtai Zhou: School of Mathematics and Statistics, Yili Normal University, Yining, 835000, China; Institute of Applied Mathematics, Yili Normal University, Yining, 835000, China
Jin Hong: School of Mathematics and Statistics, Yili Normal University, Yining, 835000, China; Institute of Applied Mathematics, Yili Normal University, Yining, 835000, China; Corresponding author at: School of Mathematics and Statistics, Yili Normal University, Yining, 835000, China.
Shaoyong Lai: School of Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China

Journal volume & issue: Vol. 23
p. 100487

Abstract

Read online

The blow-up features of a shallow water wave equation on the line R are investigated. The L2 conservation law is utilized to derive several estimates of solutions for the equation. Sufficient conditions for wave breaking and lifespan of the solutions are established. Our main results contain parts of the wave breaking conditions for the Fornberg–Whitham and Degasperis–Procesi equations in the previous literatures.

Published in Results in Applied Mathematics

ISSN: 2590-0374 (Online)
Publisher: Elsevier
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: https://www.journals.elsevier.com/results-in-applied-mathematics/

About the journal

Abstract

Keywords