PARTICULAR SOLITONS IN NONLINEAR LATTICE

• 来源期刊: 中国物理（英文版）
• 年，卷（期）: 2000,（2）
• 所属期刊栏目: GENERAL
• 页码范围: 81-85
• 页数: 5页
• 语种: 英文

摘要

One soliton of particle velocity and its amplitude (maximum particle velocity of one soliton) in Toda lattice isgiven analytically. It has also been known numerically that the maximum particle velocity (when the collision of twosolitons reaches their maximum, we define Vn at this time as its maximum particle velocity) during the collision of twosolitons moving in the same direction is equal to the difference between the amplitudes of two solitons if the differenceis large enough; however, the maximum particle velocity is equal to the adding up of the amplitudes of two solitonsmoving in the opposite directions. The relationship between the maximum value of e-rn-1 and their initial amplitudeof e-rn-1 is also given analytically in Toda lattice if the amplitudes of the two solitons are the same and their movingdirections are opposite. Compared with the Boussinesq equation, there are differences between the Toda lattice equationand the Boussinesq equation for solitons during the collision.