of Lattice Soliton an
of Lattice Soliton an
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格孤子的
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
Akira
中科院分区：
文献类型：
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作者：
Akira
用数值方法研究了单质量和力常数杂质情况下Toda晶格中孤子的杂质散射。对于轻质量和强耦合杂质，足够陡的孤子可以激发局域模式振荡。强耦合杂质的局域化很强，而轻质量杂质的局域化弱得多。在轻质量情况下，入射孤子的局域模振荡幅度比在0.2左右有上限，而在强耦合情况下激发出更大的局域模振荡幅度（比“0.8”、“0.5”、“···”）。当入射孤子的振幅变大时，反射波变得类孤子。透射波往往有第二个和第三个脉冲。在相对振幅方面，非常陡的孤子有穿过杂质的倾向。将局部模态振动的数值结果与近似解析解进行了比较。
Impurity scattering of soliton in the Toda lattice is investigated numerically for single mass and force constant impurity case. For light mass and strong coupling impurity, localized mode oscillation is excited by sufficiently steep soliton. Localization is very strong for the strong coupling impurity while it is much weaker for light mass impurity. Amplitude ratio of localized mode oscillation to the incident soliton has upper limit around ""0.2 in the light mass case while much larger amplitude of localized mode oscillation is excited in the strong coupling case (ratio ""0.8, ""0.5, ···). As the amplitude of incident soliton becomes large, reflected wave becomes soliton-like. Transmitted wave tends to have the second and third pulse. In terms of relative amplitude, very steep soliton has a tendency to pass through impurity. Numerical results of localized mode oscillation is compared with the approximate analytical solution.