摘要Two-dimensional compact-like discrete breathers in discrete two-dimensional monatomic square lattices are investigated by discussing a generalized discrete two-dimensional monatomic model. It is proven that the two-dimensional compact-like discrete breathers exist not only in two-dimensional soft ψ4 potentials but also in hard two-dimensional ψ4 potentials and pure two-dimensional K4 lattices. The measurements of the two-dimensional compact-like discrete breather cores in soft and hard two-dimensional ψ4 potential are determined by coupling parameter K4, while those in pure two-dimensional K4 lattices have no coupling with parameter K4. The stabilities of the two-dimensional compact-like discrete breathers correlate closely to the coupling parameter K4 and the boundary condition of lattices.
Abstract:Two-dimensional compact-like discrete breathers in discrete two-dimensional monatomic square lattices are investigated by discussing a generalized discrete two-dimensional monatomic model. It is proven that the two-dimensional compact-like discrete breathers exist not only in two-dimensional soft ψ4 potentials but also in hard two-dimensional ψ4 potentials and pure two-dimensional K4 lattices. The measurements of the two-dimensional compact-like discrete breather cores in soft and hard two-dimensional ψ4 potential are determined by coupling parameter K4, while those in pure two-dimensional K4 lattices have no coupling with parameter K4. The stabilities of the two-dimensional compact-like discrete breathers correlate closely to the coupling parameter K4 and the boundary condition of lattices.
[1] Roserau Ph and Hyman J M 1993 Phys. Rev. Lett. 70 564 [2] Kivshar Y S 1993 Phys. Rev. E 48 R43 [3] Dusuel S, Michaux P and Remoissenet M 1998 Phys. Rev. E 572320 [4] Dey B, Eleftheriou M, Flach S and Tsironis P 2001 Phys.Rev. E 65 017601 [5] Comte J C 2002 Phys. Rev. E 65 067601 [6] Comte J C 2003 Chaos Solitons and Fractals 15 501 [7] Gorbach A V and Flach S 2005 Phys. Rev. E 72 056607 [8] Xu Q and Tian Q 2007 Chin. Phys. Lett. 24 2197 [9] Mackay R S and Aubry S 1994 Nonlinearity 7 1623 [10] Aubry S 1995 Physica D 86 284 [11] Marin J L and Aubry S 1996 Nonlinearity 9 1501 [12] Aubry S 1997 Physica D 103 201 [13] Marin J L, Aubry S and Floria L M 1998 Physica D 113 283 [14] Aubry S and Cretegny T 1998 Physica D 119 34 [15] Koukouloyannis V and Ichtiaroglou S 2002 Phys. Rev. E 66 066602 [16] Archilla J F R, Cuevas J, Sanchez-Rey B and Alvarez A2003 Physica D 180 235 [17] Xu Q and Tian Q 2005 Chin. Sci. Bull. 50 5 [18] Xu Q and Tian Q 2006 Chin. Phys. 15 253