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Quasiperiodic localized oscillating solutions in the discrete nonlinear Schrödinger equation with alternating on-site potential
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics .ORCID iD: 0000-0001-6708-1560
Max-Planck-Inst. Phys. Komplexer S., Nöthnitzer Strasse 38, 01187 Dresden, Germany.
2004 (English)In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 70, no 5 2Article in journal (Refereed) Published
Abstract [en]

An explicit examples of exact stable quasiperiodic localized stable solution with spatially symmetric large amplitude oscillations in a nonintegrable Hamiltonian lattice model were presented. The proposed model as observed, is a one-dimensional discrete nonlinear Schro°dinger equation with alternating on-site energies. It was observed that the pulson solutions exists for other types of multicomponent lattices with two conserved quantities. It was also observed that the pulson character of the two-frequency solution appeared when the absolute value of the minimum value of ? n0±1 exceeds the minimum value of ?n0.

Place, publisher, year, edition, pages
2004. Vol. 70, no 5 2
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-45594DOI: 10.1103/PhysRevE.70.057604OAI: diva2:266490
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2014-01-13

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Johansson, Magnus
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The Institute of TechnologyTheoretical Physics
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