Journal article
Stability of smooth periodic travelling waves in the Camassa–Holm equation
Abstract
Abstract We solve the open problem of spectral stability of smooth periodic waves in the Camassa–Holm equation. The key to obtaining this result is that the periodic waves of the Camassa–Holm equation can be characterized by an alternative Hamiltonian structure, different from the standard formulation common to the Korteweg‐de Vries equation. The standard formulation has the disadvantage that the period function is not monotone and the …
Authors
Geyer A; Martins RH; Natali F; Pelinovsky DE
Journal
Studies in Applied Mathematics, Vol. 148, No. 1, pp. 27–61
Publisher
Wiley
Publication Date
1 2022
DOI
10.1111/sapm.12430
ISSN
0022-2526