Title :
Discrete solitons by the bilinear transformation
Author_Institution :
Rutgers University, Piscataway, NJ
Abstract :
A discrete-time sine-Gordon equation is obtained by applying the bilinear transformation to the inverse scattering representation of the sine-Gordon equation. The corresponding discrete soliton solutions and Bäcklund transformations are presented.
Keywords :
Discrete transforms; Inverse problems; Nonlinear equations; Nonlinear systems; Prototypes; Solids; Solitons; Time domain analysis; Transmission lines; Vectors;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1979.11216