Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients

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dc.creatorCardoso, Wesley Bueno
dc.creatorCouto, Hugo Leonardo Carvalhaes
dc.creatorAvelar, Ardiley Torres
dc.creatorBazeia Filho, Dionisio
dc.date.accessioned2023-11-28T14:31:14Z
dc.date.available2023-11-28T14:31:14Z
dc.date.issued2017
dc.description.abstractWe study the presence of exact localized solutions in a quadratic-cubic nonlinear Schrödinger equation with inhomogeneous nonlinearities. Using a specific ansatz, we transform the nonautonomous nonlinear equation into an autonomous one, which engenders composed states corresponding to solutions localized in space, with an oscillating behavior in time. Direct numerical simulations are employed to verify the stability of the modulated solutions against small random perturbations.
dc.identifier.citationCARDOSO, Wesley B. et al. Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients. Communications in Nonlinear Science and Numerical Simulation, Amsterdam, v. 48, p. 474-483, 2017. DOI: 10.1016/j.cnsns.2017.01.012. Disponível em: https://www.sciencedirect.com/science/article/pii/S1007570417300114. Acesso em: 13 set. 2023.
dc.identifier.doi10.1016/j.cnsns.2017.01.012
dc.identifier.issn1007-5704
dc.identifier.issne- 1878-7274
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1007570417300114
dc.language.isoeng
dc.publisher.countryHolanda
dc.publisher.departmentInstituto de Física - IF (RMG)
dc.rightsAcesso Restrito
dc.subjectNonlinear Schrödinger equation
dc.subjectQuadratic-cubic nonlinearity
dc.subjectSolitonsInhomogeneous medium
dc.titleModulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients
dc.typeArtigo

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