非线性晶格中的孤立波解

Solitary wave Solutions in the Nonlinear Lattice

本文从理论上得出了任意非线性相互作用的一维晶格中小振幅连续场近似的孤立波传播速度与其振幅的关系,并分别给出了常见相互作用势——Morse 势和 L-J 势晶格中的结果。把此结果同由文献[3]得出的结果以及数值结果进行比较,表明本文的结果同数值结果吻合得更好。

In thsi paper,we have obtained the relationship between the velocity and the amplitude of solitary wave solution of partical velocity in one dimensioal nonli- near lattice and the results of Morse potential and L-J potential lattice are given. Moreover,we have compared the results with those of reference[3]and numerical results.