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- W2063359087 abstract "In this letter, we use the method of constructing exact solutions on lattices proposed by Kinnersley and described in Schmidt (1979 Phys. Rev. B 20 4397), to obtain exact compacton solutions in discrete models. We examine the linear stability of such solutions, both for the bright compacton and for the dark compacton cases. We focus on a 'quantization condition' that the width of the profile should satisfy. We also use this quantization condition to examine the possibility of compact coherent structures travelling in discrete settings. Our results are obtained for sinusoidal profiles and then generalized to elliptic functions of arbitrary modulus. The possibility of multi-compacton solutions is considered." @default.
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- W2063359087 date "2002-10-28" @default.
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- W2063359087 title "Discrete compactons: some exact results" @default.
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- W2063359087 doi "https://doi.org/10.1088/0305-4470/35/45/103" @default.
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