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首页> 外文期刊>Science in China. Series G, Physics & Astronomy >The kink-soliton and antikink-soliton in quasi- one-dimensional nonlinear monoatomic lattice
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The kink-soliton and antikink-soliton in quasi- one-dimensional nonlinear monoatomic lattice

机译：准一维非线性单原子晶格中的扭折孤子和反扭孤子

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摘要

The quasi-one-dimensional nonlinear monoatomic lattice is analyzed. The kink-soliton and antikink-soliton are presented. When the interaction of the lattice is strong in the x-direction and weak in the y-direction, the two-dimensional (2D) lattice changes to a quasi-one-dimensional lattice. Taking nearest-neighbor interaction into account, the vibration equation can be transformed into the KPI, KPII and MKP equation. Considering the cubic nonlinear potential of the vibration in the lattice, the kink-soliton solution is presented. Considering the quartic nonlinear potential and the cubic interaction potential, the kink-soliton and antikink-soliton solutions are presented.
机译：分析了准一维非线性单原子晶格。介绍了扭结孤子和反扭结孤子。当晶格的相互作用在x方向上较强而在y方向上较弱时，二维（2D）晶格变为准一维晶格。考虑到最近邻的相互作用，可以将振动方程转换为KPI，KPII和MKP方程。考虑晶格振动的立方非线性势，提出了扭结孤子解。考虑了四次非线性势和三次相互作用势，给出了扭结孤子和反扭孤子的解。

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