PARTICULAR SOLITONS IN NONLINEAR LATTICE 
 
Authors:  Lü Kepu Duan Wenshan Zhao Jinbao Wang Benren Wei Rongjue 
 
Institution:  Department of Physics, Northwest Normal University, Lanzhou 730070, China; Institute of Acoustics, Nanjing University, Nanjing 210093, China 
 
Abstract:  One soliton of particle velocity and its amplitude (maximum particle velocity of one soliton) in Toda lattice is given analytically. It has also been known numerically that the maximum particle velocity (when the collision of two solitons reaches their maximum, we define V_{n} at this time as its maximum particle velocity) during the collision of two solitons moving in the same direction is equal to the difference between the amplitudes of two solitons if the difference is large enough; however, the maximum particle velocity is equal to the adding up of the amplitudes of two solitons moving in the opposite directions. The relationship between the maximum value of e^{(rn)}1 and their initial amplitude of e^{(rn)}1 is also given analytically in Toda lattice if the amplitudes of the two solitons are the same and their moving directions are opposite. Compared with the Boussinesq equation, there are differences between the Toda lattice equation and the Boussinesq equation for solitons during the collision. 
 
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