On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation

Autor(es)

Daros, Alisson ^[1] ; Arruda, Lynnyngs Kelly ^[2]

Afiliação do(s) autor(es)

^[1] Fed Univ Pampa, Dept Math, BR-97650000 Itaqui - Brazil

^[2] Univ Fed Sao Carlos, Dept Math, PO B 676, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 266, n. 4, p. 1946-1968, FEB 5 2019.
• Citações Web of Science: 2

Resumo

This paper is concerned with the orbital instability for a specific class of periodic traveling wave solutions with the mean zero property and large spatial period related to the modified Camassa-Holm equation. These solutions, called snoidal waves, are written in terms of the Jacobi elliptic functions. To prove our result we use the abstract method of Grillakis, Shatah and Strauss {[}23], the Floquet theory for periodic eigenvalue problems and the n-gaps potentials theory of Dubrovin, Matveev and Novikov {[}19]. (C) 2018 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 17/23751-2 - Existência, estabilidade e comportamento assintótico de soluções para uma família ab de equações de evolução não-lineares
• Beneficiário: Lynnyngs Kelly Arruda Saraiva de Paiva
• Modalidade de apoio: Auxílio à Pesquisa - Regular