Elastic Scattering of Solitary Waves in the Strongly Dissipative Toda Lattice
- 13 February 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (7) , 700-703
- https://doi.org/10.1103/physrevlett.62.700
Abstract
The behavior of solitary waves has been studied both experimentally and numerically in a strongly dissipative Toda lattice. In the absence of dissipation the system is an integrable soliton system, but due to dissipation the solitary wave decreases, and develops a tail. Numerical simulation of the head-on collision of two solitons with different amplitudes indicates that the scattering is nevertheless purely elastic. This suggests that certain parts of soliton theory should be applicable in systems where the wave itself is not conserved.Keywords
This publication has 7 references indexed in Scilit:
- Soliton experiments in a nonlinear electrical transmission lineEuropean Journal of Physics, 1987
- An Analysis of the Toda Lattice with Weak DissipationJournal of the Physics Society Japan, 1981
- Experiment on Solitons in the Dissipative Toda Lattice Using Nonlinear Transmission LineJournal of the Physics Society Japan, 1979
- Propagation of Solitons in a Dissipative Nonlinear Transmission LineJournal of the Physics Society Japan, 1979
- Studies of a non-linear latticePhysics Reports, 1975
- On the Toda Lattice. II: Inverse-Scattering SolutionProgress of Theoretical Physics, 1974
- Theoretical and experimental studies of lattice solitons in nonlinear lumped networksProceedings of the IEEE, 1973