Comment on "Specific sine-Gordon soliton dynamics in the presence of external driving forces"
- 15 January 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 29 (2), 1072-1074
- https://doi.org/10.1103/physrevb.29.1072
Abstract
It is shown that the results presented by Reinisch and Fernandez have an alternative interpretation where the soliton does behave as a Newtonian particle. The key features required for this alternative interpretation are (i) properly defining where the center of the soliton is, and (ii) expanding the solution so as to avoid any secular terms. When these two objectives are achieved, then the center of the soliton is found to satisfy Newton's equation of motion for a point particle.Keywords
This publication has 10 references indexed in Scilit:
- Specific sine-Gordon soliton dynamics in the presence of external driving forcesPhysical Review B, 1981
- Solitons in condensed matter: A paradigmPhysica D: Nonlinear Phenomena, 1980
- Perturbation analysis of fluxon dynamicsPhysical Review A, 1978
- Solitons as particles, oscillators, and in slowly changing media: a singular perturbation theoryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Korteweg-de Vries Soliton in a Slowly Varying MediumPhysical Review Letters, 1978
- A Green’s function for a linear equation associated with solitonsJournal of Mathematical Physics, 1977
- Solitons under perturbationsPhysical Review A, 1977
- Dynamics of sine-Gordon solitons in the presence of perturbationsPhysical Review B, 1977
- A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering TransformSIAM Journal on Applied Mathematics, 1976
- Classical Motion of an Extended Charged ParticlePhysical Review B, 1966