Stability of smooth periodic traveling waves in the Degasperis–Procesi equation-Reference-Cited by-同舟云学术

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Stability of smooth periodic traveling waves in the Degasperis–Procesi equation

Published:2024-09 Issue: Volume:404 Page:354-390
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Geyer Anna^ORCID,Pelinovsky Dmitry E.^ORCID

Publisher

Elsevier BV

Reference48 articles.

1. An index theorem for the stability of periodic travelling waves of Korteweg-de Vries type;Bronski;Proc. R. Soc. Edinb. A,2011

2. An integrable shallow water equation with peaked solitons;Camassa;Phys. Rev. Lett.,1993

3. The monotonicity of the period function for planar Hamiltonian vector fields;Chicone;J. Differ. Equ.,1987

4. The hydrodynamical relevance of the Camassa–Holm and Degasperis–Procesi equations;Constantin;Arch. Ration. Mech. Anal.,2009

5. Stability of the Camassa–Holm solitons;Constantin;J. Nonlinear Sci.,2002

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