PERIODIC TRAVELING-WAVE SOLUTIONS FOR REGULARIZED DISPERSIVE EQUATIONS: SUFFICIENT CONDITIONS FOR ORBITAL STABILITY WITH APPLICATIONS

Autor(es)

Cristofani, Fabricio ^[1] ; Natali, Fabio ^[2] ; Pastor, Ademir ^[3]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas UNICAMP, Inst Matemat Estat & Comp Cient IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

^[2] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, PR - Brazil

^[3] IMECC UNICAMP, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN MATHEMATICAL SCIENCES; v. 18, n. 3, p. 613-634, 2020.
• Citações Web of Science: 1

Resumo

In this paper, we establish a new criterion for the orbital stability of periodic waves related to a general class of regularized dispersive equations. More specifically, we present sufficient conditions for the stability without knowing the positiveness of the associated Hessian matrix. As application of our method, we show the orbital stability for the fifth-order model. The orbital stability of periodic waves resulting from a minimization of a convenient functional is also proved. (AU)

• Processo FAPESP: 17/20760-0 - Métodos variacionais e estabilidade de ondas periódicas para sistemas de equações dispersivas não lineares
• Beneficiário: Fabrício Cristófani
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado