Artículos de revistas
Orbital Stability Of Periodic Waves For The Klein-gordon-schrödinger System
Registro en:
Discrete And Continuous Dynamical Systems. , v. 31, n. 1, p. 221 - 238, 2011.
10780947
10.3934/dcds.2011.31.221
2-s2.0-84859581232
Autor
Natali F.
Pastor A.
Institución
Resumen
This article deals with the existence and orbital stability of a two- parameter family of periodic traveling-wave solutions for the Klein-Gordon- Schrödinger system with Yukawa interaction. The existence of such a family of periodic waves is deduced from the Implicit Function Theorem, and the orbital stability is obtained from arguments due to Benjamin, Bona, and Weinstein. 31 1 221 238 Angulo Pava, J., Nonlinear stability of periodic traveling wave solutions to the Schr̈odinger and modified Korteweg-de Vries equations (2007) J. Differential Equations, 235, pp. 1-30 Angulo Pava, J., Bona, J.L., Scialom, M., Stability of cnoidal waves (2006) Adv. Differential Equations, 11, pp. 1321-1374 Angulo Pava, J., Matheus, C., Pilod, D., Global well-posedness and non-linear stability ofperiodic traveling waves for a Schr̈odinger-Benjamin-Ono system (2009) Commun. Pure Appl. 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