Extended wave solutions in an integrable chiral model in (2+1) dimensions
- 1 September 1989
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 30 (9) , 2072-2077
- https://doi.org/10.1063/1.528247
Abstract
There is a modification of the SU(2) chiral model, which is integrable in (2+1) dimensions [J. Math. Phys. 29, 386 (1988)]. In addition to localized lumps, it admits extended wave solutions, which move at constant velocity. The interaction of two waves causes each to experience a phase shift. In the interaction between a wave and a lump, the wave suffers no phase shift, but the lump changes shape.Keywords
This publication has 5 references indexed in Scilit:
- Nonlinear Schrödinger and korteweg-de Vries are reductions of self-dual Yang-MillsPhysics Letters A, 1989
- Integrability of the chiral equations with torsion termNonlinearity, 1988
- Soliton solutions in an integrable chiral model in 2+1 dimensionsJournal of Mathematical Physics, 1988
- Solution-generating technique for self-dual monopolesNuclear Physics B, 1983
- Soliton Interactions in Two DimensionsPublished by Elsevier ,1980