Chaotic solitons in the quadratic-cubic nonlinear Schrodinger equation under nonlinearity management
Por:
Fujioka J., Cortés E., Pérez-Pascual R., Rodríguez R.F., Espinosa A., Malomed B.A.
Publicada:
1 sep 2011
Resumen:
We analyze the response of rational and regular (hyperbolic-secant) soliton solutions of an extended nonlinear Schrodinger equation (NLSE) which includes an additional self-defocusing quadratic term, to periodic modulations of the coefficient in front of this term. Using the variational approximation (VA) with rational and hyperbolic trial functions, we transform this NLSE into Hamiltonian dynamical systems which give rise to chaotic solutions. The presence of chaos in the variational solutions is corroborated by calculating their power spectra and the correlation dimension of the Poincare maps. This chaotic behavior (predicted by the VA) is not observed in the direct numerical solutions of the NLSE when rational initial conditions are used. The solitary-wave solutions generated by these initial conditions gradually decay under the action of the nonlinearity management. On the contrary, the solutions of the NLSE with exponentially localized initial conditions are robust solitary-waves
Filiaciones:
Fujioka J.:
Univ Nacl Autonoma Mexico, FENOMEC, Mexico City, DF, Mexico
Univ Nacl Autonoma Mexico, Dept Quim Fis, Inst Fis, Mexico City 04510, DF, Mexico
Cortés E.:
Departmento de Física, Universidad Autónoma Metropolitana Iztapalapa, P.O. Box 55-534, México D.F. 09340, Mexico
Pérez-Pascual R.:
Univ Nacl Autonoma Mexico, Dept Sistemas Complejos, Inst Fis, Mexico City 04510, DF, Mexico
Rodríguez R.F.:
Univ Nacl Autonoma Mexico, FENOMEC, Mexico City, DF, Mexico
Univ Nacl Autonoma Mexico, Dept Quim Fis, Inst Fis, Mexico City 04510, DF, Mexico
Espinosa A.:
Univ Nacl Autonoma Mexico, Dept Quim Fis, Inst Fis, Mexico City 04510, DF, Mexico
Malomed B.A.:
Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
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