dc.creator | Cooper, Fred | es |
dc.creator | Dawson, John F. | es |
dc.creator | Mertens, Franz G. | es |
dc.creator | Arévalo, Edward | es |
dc.creator | Quintero, Niurka R. | es |
dc.creator | Mihaila, Bogdan | es |
dc.creator | Khare, Avinash | es |
dc.creator | Saxena, Avadh | es |
dc.date.accessioned | 2018-11-23T09:31:35Z | |
dc.date.available | 2018-11-23T09:31:35Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Cooper, F., Dawson, J.F., Mertens, F.G., Arévalo, E., Quintero, N.R., Mihaila, B.,...,Saxena, A. (2017). Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Journal of Physics A: Mathematical and Theoretical, 50, 485205-. | |
dc.identifier.issn | 1751-8113 | es |
dc.identifier.uri | https://hdl.handle.net/11441/80468 | |
dc.description.abstract | We discuss the effect of small perturbation on nodeless solutions of
the nonlinear Schrödinger equation in 1 + 1 dimensions in an external
complex potential derivable from a parity-time symmetric superpotential
that was considered earlier (Kevrekidis et al 2015 Phys. Rev. E 92 042901).
In particular, we consider the nonlinear partial differential equation
{ i ∂t + ∂2
x + g|ψ(x, t)|
2 − V+(x) } ψ(x, t) = 0, where V+(x)=(−b2 − m2 + 1/4)sech2
(x) − 2i m b sech(x) tanh(x) represents the complex potential. Here,
we study the perturbations as a function of b and m using a variational
approximation based on a dissipation functional formalism. We compare
the result of this variational approach with direct numerical simulation of
the equations. We find that the variational approximation works quite well
at small and moderate values of the parameter product bm which controls
the strength of the imaginary part of the potential. We also show that the
dissipation functional formalism is equivalent to the generalized traveling
wave method for this type of dissipation. | es |
dc.description.sponsorship | Santa Fe Institute and the Center for Nonlinear Studies at Los Alamos National Laboratory | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (Spain) through FIS2014- 54497-P | es |
dc.description.sponsorship | Plan Propio of Universidad de Seville | es |
dc.description.sponsorship | Theoretical Division and Center for Nonlinear Studies at Los Alamos National Laboratory | es |
dc.description.sponsorship | Junta de Andalucía (Spain) under Projects No. FQM207 | es |
dc.description.sponsorship | Excellent Grant P11-FQM-7276 | es |
dc.description.sponsorship | Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) project No. 1141223 | es |
dc.description.sponsorship | Programa Iniciativa Científica Milenio (ICM) Grant No. 130001 | es |
dc.description.sponsorship | Indian National Science Academy (INSA) | es |
dc.description.sponsorship | National Science Foundation through its employee IR/D program | es |
dc.description.sponsorship | US Department of Energy | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP | es |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical, 50, 485205-. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Stability analysis | es |
dc.subject | Collective coordinates | es |
dc.subject | Variational approach | es |
dc.subject | Dissipation functional | es |
dc.subject | Traveling wave method | es |
dc.title | Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.projectID | FIS2014- 54497-P | es |
dc.relation.projectID | FQM207 | es |
dc.relation.projectID | P11-FQM-7276 | es |
dc.relation.projectID | 1141223 | es |
dc.relation.projectID | 130001 | es |
dc.relation.publisherversion | http://iopscience.iop.org/article/10.1088/1751-8121/aa8d25/meta | es |
dc.identifier.doi | 10.1088/1751-8121/aa8d25 | es |
dc.contributor.group | Universidad de Sevilla. FQM-207 Física Atómica y Molecular | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | Journal of Physics A: Mathematical and Theoretical | es |
dc.publication.volumen | 50 | es |
dc.publication.initialPage | 485205 | es |