A study on the stability of a modified Degasperis–Procesi equation

DOI10.1080/23311835.2016.1251875zbMath1438.35346OpenAlexW2535350015MaRDI QIDQ4966839

Jing Chen

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1251875

zbMATH Keywords

Sobolev spacemodified Degasperis-Procesi equation\(L^1(R)\) local stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (1)

Bifurcations and exact traveling wave solutions for a modified Degasperis-Procesi equation

Cites Work

• Unnamed Item
• The stability of local strong solutions for a shallow water equation
• On the well-posedness of the Degasperis-Procesi equation
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation
• Global solutions and blow-up phenomena to a shallow water equation
• On the Cauchy problem for an integrable equation with peakon solutions
• Traveling wave solutions of the Degasperis-Procesi equation
• Stability of peakons for the Degasperis-Procesi equation
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• On the Cauchy problem for the Camassa-Holm equation

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