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Generalized traveling-wave method, variational approach, and modified conserved quantities for the perturbed nonlinear Schrödinger equation.

 

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dc.creator Quintero, Niurka R.
dc.creator Mertens, Franz G.
dc.creator Bishop, Alan R.
dc.date.accessioned 2015-03-25T09:11:05Z
dc.date.available 2015-03-25T09:11:05Z
dc.date.issued 2010
dc.identifier.issn 1539-3755 es
dc.identifier.issn 1550-2376 es
dc.identifier.uri http://hdl.handle.net/11441/23531
dc.description.abstract The generalized traveling wave method (GTWM) is developed for the nonlinear Schrödinger equation (NLSE) with general perturbations in order to obtain the equations of motion for an arbitrary number of collective coordinates. Regardless of the particular ansatz that is used, it is shown that this alternative approach is equivalent to the Lagrangian formalism, but has the advantage that only the Hamiltonian of the unperturbed system is required, instead of the Lagrangian for the perturbed system. As an explicit example, we take 4 collective coordinates, namely the position, velocity, amplitude and phase of the soliton, and show that the GTWM yields the same equations of motion as the perturbation theory based on the Inverse Scattering Transform and as the time variation of the norm, first moment of the norm, momentum, and energy for the perturbed NLSE. es
dc.description.sponsorship MEC, Spain through Grant No. FIS2008- 02380/FIS, and by the Junta de Andalucía under Project Nos. FQM207, FQM-00481, P06-FQM-01735, and P09-FQM- 4643 es
dc.format application/pdf es
dc.language.iso eng es
dc.relation.ispartof Physical Review E, 2010, 82 (1), 016606: 1-6 es
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ *
dc.title Generalized traveling-wave method, variational approach, and modified conserved quantities for the perturbed nonlinear Schrödinger equation. es
dc.type info:eu-repo/semantics/article es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.contributor.affiliation Universidad de Sevilla. Departamento de Física Aplicada I es
dc.relation.publisherversion DOI: 10.1103/PhysRevE.82.016606 es
dc.relation.publisherversion http://0-journals.aps.org.fama.us.es/pre/pdf/10.1103/PhysRevE.82.016606 es
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevE.82.016606
dc.identifier.doi 10.1103/PhysRevE.82.016606
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/23531
dc.contributor.funder Ministerio de Educación y Ciencia (MEC). España
dc.contributor.funder Junta de Andalucía
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