Discrete breathers in a two-dimensional Morse
lattice with an on-site harmonic potential

doi:10.1007/s11467-009-0062-2

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Front. Phys. ›› 2009, Vol. 4 ›› Issue (4) : 497-504. DOI: 10.1007/s11467-009-0062-2

Research articles

Discrete breathers in a two-dimensional Morse lattice with an on-site harmonic potential

Bin-bin LÜ(吕彬彬),Qiang TIAN(田强),

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Abstract

Two-dimensional discrete breathers in a two-dimensional Morse lattice with on-site harmonic potentials are investigated. Under the harmonic approximation, the linear dispersion relations for the triangular and the square lattices are discussed. The existence of discrete breathers in a two-dimensional Morse lattice with on-site harmonic potentials is proved by using local inharmonic approximation and the numerical method. The localization and amplitude of two-dimensional discrete breathers correlate closely to the Morse parameter a and the on-site parameter κ.

Keywords

two-dimensional discrete breathers / triangular lattice / square lattice / Morse lattice / on-site harmonic potential

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Bin-bin LÜ(吕彬彬), Qiang TIAN(田强),. Discrete breathers in a two-dimensional Morse lattice with an on-site harmonic potential. Front. Phys., 2009, 4(4): 497‒504 https://doi.org/10.1007/s11467-009-0062-2