NONLINEAR STABILITY OF PERIODIC-WAVE SOLUTIONS FOR SYSTEMS OF DISPERSIVE EQUATIONS

Autor(es)

Cristofani, Fabricio ^[1] ; Pastor, Ademir ^[1]

Afiliação do(s) autor(es)

^[1] IMECC UNICAMP, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 19, n. 10, p. 5015-5032, OCT 2020.
• Citações Web of Science: 0

Resumo

We prove the orbital stability of periodic traveling-wave solutions for systems of dispersive equations with coupled nonlinear terms. Our method is basically developed under two assumptions: one concerning the spectrum of the linearized operator around the traveling wave and another one concerning the existence of a conserved quantity with suitable properties. The method can be applied to several systems such as the Liu-Kubota-Ko system, the modified KdV system and a log-KdV type system. (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