Blow-up to a shallow water wave model including the Degasperis-Procesi equation
Author:
Affiliation:
1. School of Mathematics and Statistics, Yili Normal University, Yili 835000, China
2. School of Mathematics, Southwestern University of Finance and Economics, Chengdu 610030, China
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
General Mathematics
Reference24 articles.
1. L. Akinyemi, P. Veeresha, S. O. Ajibola, Numerical simulation for coupled noninear Schr$\ddot{o}$dinger-Korteweg-de Vries and Maccari systems of equations, Mod. Phys. Lett. B, 35 (2021), 2150339. https://doi.org/10.1142/S0217984921503395
2. A. Constantin, D. Lannes, The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations, Arch Rational Mech. Anal., 192 (2009), 165–186. https://doi.org/10.1007/s00205-008-0128-2
3. A. Constantin, J. Escher, Wave breaking for nonlinear nonlocal shallow water equations, Acta Math., 181 (1998), 229–243. https://doi.org/10.1007/BF02392586
4. A. Constantin, R. Ivanov, Dressing method for the Degasperis-Procesi equation, Stud. Appl. Math., 138 (2017), 205–226. https://doi.org/10.1111/sapm.12149
5. G. M. Coclite, K. H. Karlsen, Periodic solutions of the Degasperis-Procesi equation: well-posedness and asymptotics, J. Funct. Anal., 268 (2015), 1053–1077. https://doi.org/10.1016/j.jfa.2014.11.008
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