Prog. Theor. Phys. Supplement No.45 (1970) pp. 201-208
On the Stability of Lattice Solitons
Department of Applied Physics, Waseda University, Tokyo
The stability of lattice solitons is examined on computer. The three-body collision is found to preserve the initial identity of individual solitons participating the three-body collision. Large deformation provokes a soliton to split into two solitons and a train of ripples. The stability of solitons under random disturbances is examined on computer. The speed of a soliton decreases gradually when large disturbance is given initially on the medium, and thus the soliton is subjected a viscous damping. Furher it is surmised from the experiments that there exists a critical value of the energy of the disturbance given to the medium, under which the soliton is stable and the speed is not affected by the presence of the disburbance.
DOI : 10.1143/PTPS.45.201
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Citing Article(s) :
Journal of the Physical Society of Japan 59 (1990) pp. 1571-1580
Localized Modes in the Long-Time Behavior of Anharmonic Lattices
Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1547-1560
On the Integrability of the Toda Lattice
Joseph Ford, Spotswood D. Stoddard and Jack S. Turner
Progress of Theoretical Physics Supplement No.59 (1976) pp. 64-100
A Variety of Nonlinear Network Equations Generated from the Bäcklund Transformation for the Toda Lattice
Ryogo Hirota and Junkichi Satsuma