Non-autonomous Ginzburg-Landau solitons using the He-Li mapping method

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Maximino Pérez Maldonado
Haret C. Rosu
Elizabeth Flores Garduño


We find and discuss the non-autonomous soliton solutions in the case of variable nonlinearity and dispersion implied by the Ginzburg-Landau equation with variable coefficients. In this work we obtain non-autonomous Ginzburg-Landau solitons from the standard autonomous Ginzburg-Landau soliton solutions using a simplified version of the He-Li mapping. We find soliton pulses of both arbitrary and fixed amplitudes in terms of a function constrained by a single condition involving the nonlinearity and the dispersion of the medium. This is important because it can be used as a tool for the parametric manipulation of these non-autonomous solitons. 

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PÉREZ MALDONADO, Maximino; C. ROSU, Haret; FLORES GARDUÑO, Elizabeth. Non-autonomous Ginzburg-Landau solitons using the He-Li mapping method. CIENCIA ergo-sum, [S.l.], v. 27, n. 4, nov. 2020. ISSN 2395-8782. Disponible en: <>. Fecha de acceso: 19 ago. 2022 doi:
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