Origin of solitons in the ‘‘real’’ world
- 1 June 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 33 (6) , 4367-4374
- https://doi.org/10.1103/physreva.33.4367
Abstract
In experiments, solitons emerge from arbitrary initial data even when the Hamiltonian perturbations are quite large. In this paper, it is shown explicitly through lowest order that the perturbations which appear in ion acoustic wave and shallow-channel water-wave experiments do not destroy, but merely renormalize, their velocity and shape. Comparisons with other perturbation approaches are made.Keywords
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