Physical dynamics of quasi-particles in nonlinear wave equations
| dc.creator | Christov, Ivan | |
| dc.creator | Christov, C. I. | |
| dc.date | 2006-12-04 | |
| dc.date | 2007-08-25 | |
| dc.date.accessioned | 2026-07-07T08:54:41Z | |
| dc.date.available | 2026-07-07T08:54:41Z | |
| dc.description | By treating the centers of solitons as point particles and studying their discrete dynamics, we demonstrate a new approach to the quantization of the soliton solutions of the sine-Gordon equation, one of the first model nonlinear field equations. In particular, we show that a linear superposition of the non-interacting shapes of two solitons offers a qualitative (and to a good approximation quantitative) description of the true two-soliton solution, provided that the trajectories of the centers of the superimposed solitons are considered unknown. Via variational calculus, we establish that the dynamics of the quasi-particles obey a pseudo-Newtonian law, which includes cross-mass terms. The successful identification of the governing equations of the (discrete) quasi-particles from the (continuous) field equation shows that the proposed approach provides a basis for the passage from the continuous to a discrete description of the field. | |
| dc.description | 10 pages, 3 figures (6 images); v2: revised and improved the presentation, updated the references, fixed typos; v3: corrected a few minor mistakes and typos, version accepted for publication in Phys. Lett. A | |
| dc.identifier | https://arxiv.org/abs/nlin/0612005 | |
| dc.identifier | http://arxiv.org/abs/nlin/0612005 | |
| dc.identifier | Physics Letters A 372 (6), 2008, pp. 841-848 | |
| dc.identifier | doi:10.1016/j.physleta.2007.08.038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146025 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Physical dynamics of quasi-particles in nonlinear wave equations | |
| dc.type | text |