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|Type:||Artigo de periódico|
|Title:||Existence and stability of ground-state solutions of a Schrodinger-KdV system|
|Abstract:||We consider the coupled Schrodinger-Korteweg-de Vries system i(u(t) + c(1)u(x)) + delta(1)u(xx) =alphauv, v(t) + c(2)v(x) + delta(2)v(xxx) + gamma(v(2))(x) = beta(\u\(2))(x), which arises in various physical contexts as a model for the interaction of long and short nonlinear waves. Ground states of the system are, by definition, minimizers of the energy functional subject to constraints on conserved functionals associated with symmetries of the system. In particular, ground states have a simple time dependence because they propagate via those symmetries. For a range of values of the parameters alpha, beta, gamma, delta(i), c(i), we prove the existence and stability of a two-parameter family of ground states associated with a two-parameter family of symmetries.|
|Editor:||Royal Soc Edinburgh|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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