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

Cristofani, Fabricio; Pastor, Ademir

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Cristofani, Fabricio ^[1] ; Pastor, Ademir ^[1] Total Authors: 2
Affiliation:	^[1] IMECC UNICAMP, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 19, n. 10, p. 5015-5032, OCT 2020.
Web of Science Citations:	0
Abstract
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)

FAPESP's process:	17/20760-0 - Variational methods and stability of periodic waves for nonlinear dispersive systems
Grantee:	Fabrício Cristófani
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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