Lattice Model with Traveling Compactons |
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| Authors: | XIA Qing-Lin JIANG Dong-Chu |
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| Institution: | School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China Department of Physics and Electronic Science, Hunan City University, Yiyang 413049, China |
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| Abstract: | We introduce a purely anharmonic lattice model with specific double-well on-site potential, which admits traveling compacton-like solitary wave solutions by the inverse method with the help of Mathematica. By properly choosing the shape of the solitary wave solution of the system, we can calculate the parameters of the specific on-site potential. We also found that the localization of the compacton is related to the nonlinear coupling parameter Cnl and the potential parameter V0 of the on-site potential, and the velocity of the propagation of the compacton is determined by the localization parameter q and the potential parameter V0. Numerical calculation results demonstrate that the narrow compacton is unstable while the wide compacton is stable when they move along the lattice chain. |
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| Keywords: | anharmonic lattice model inverse method compacton |
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