Orbital stability of periodic waves for theKlein-Gordon-Schrödinger system

Fábio Natali; Ademir Pastor

doi:10.3934/dcds.2011.31.221

Article Contents

2011, Volume 31, Issue 1: 221-238. Doi: 10.3934/dcds.2011.31.221

This issue Previous Article Estimates for solutions of KDV on the phase space of periodic distributions in terms of action variables Next Article Regularity of the extremal solution for a fourth-order elliptic problem with singular nonlinearity

Orbital stability of periodic waves for the Klein-Gordon-Schrödinger system

Fábio Natali^1, and
Ademir Pastor^2,

1.
Universidade Estadual de Maringá - UEM, Avenida Colombo, 5790, CEP 87020-900, Maringá
2.
IMECC–UNICAMP, Rua Sérgio Buarque de Holanda, 651, CEP 13083-859, Campinas, SP

Received: November 30, 2009

Revised: March 31, 2011

Published: December 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B10, 35B35; Secondary: 35Q99.

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