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BIBTEX RIS

Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method

2004; Elsevier BV; Volume: 83; Issue: 8 Linguagem: Francês

10.1016/j.matpur.2004.01.007

ISSN

1776-3371

Autores

Guido Gentile, Vieri Mastropietro,

Tópico(s)

Nonlinear Waves and Solitons

Resumo

We introduce a renormalized Lindstedt series for the oscillatory solutions of nonlinear wave equations (like the nonlinear Klein–Gordon and sine-Gordon) with Dirichlet boundary conditions, and we prove its convergence via Renormalization Group methods. Nous introduisons une série de Lindstedt renormalisée pour étudier les solutions oscillantes d'équations des ondes non-linéaires (comme Klein–Gordon et sine-Gordon nonlinéaires) avec conditions aux limites de Dirichlet et nous démontrons la convergence par des méthodes de groupe de renormalisation.

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