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Two-dimensional discrete gap breathers in a two-dimensional discrete diatomic Klein-Gordon lattice |
| XU Quan1,2, QIANG Tian2 |
| 1Department of Physics, Daqing Normal University, Daqing 1637122Department of Physics, Beijing Normal University, Beijing 100875 |
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| Cite this article: |
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XU Quan, QIANG Tian 2009 Chin. Phys. Lett. 26 070501 |
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Abstract We study the existence and stability of two-dimensional discrete breathers in a two-dimensional discrete diatomic Klein-Gordon lattice consisting of alternating light and heavy atoms, with nearest-neighbor harmonic coupling. Localized solutions to the corresponding nonlinear differential equations with frequencies inside the gap of the linear wave spectrum, i.e. two-dimensional gap breathers, are investigated numerically. The numerical results of the corresponding algebraic equations demonstrate the possibility of the existence of two-dimensional gap breathers with three types of symmetries, i.e., symmetric, twin-antisymmetric and single-antisymmetric. Their stability depends on the nonlinear on-site potential (soft or hard), the interaction potential (attractive or repulsive) and the center of the two-dimensional gap breathers (on a light or a heavy atom).
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| Keywords:
05.45.Xt
02.30.Jr
63.20.Pw
63.20.Ry
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Received: 05 February 2009
Published: 02 July 2009
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