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Quadratic solitons in nonconservative media

S. A. DarmanyanInstitute of Solid State Physics and Theoretical Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany, andA. KobyakovInstitute of Solid State Physics and Theoretical Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, GermanyF. LedererInstitute of Solid State Physics and Theoretical Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
1999en
ABI

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We develop a perturbation theory for the evolution of solitary waves in quadratic nonconservative nonlinear media. The expressions derived for the solitons' amplitude and width permit us to estimate straightforwardly the damping-amplification rate of an arbitrary soliton of the unperturbed system. The analytical results obtained agree well with numerical experiments.

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