Soliton solutions and nontrivial scattering in an integrable chiral model in (2+1)-dimensions - INSPIRE

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Soliton solutions and nontrivial scattering in an integrable chiral model in (2+1)-dimensions

Theodora A. Ioannidou
(
- Durham U.
)

Apr, 1996

21 pages

Published in:

J.Math.Phys. 37 (1996) 3422-3441

e-Print:

hep-th/9604126 [hep-th]

DOI:

10.1063/1.531573

Report number:

DTP-96-09

View in:

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Abstract:

The behaviour of solitons in integrable theories is strongly constrained by the integrability of the theory; i.e. by the existence of an infinite number of conserved quantities which these theories are known to possess. One usually expects the scattering of solitons in such theories to be rather simple, i.e. trivial. By contrast, in this paper we generate new soliton solutions for the planar integrable chiral model whose scattering properties are highly nontrivial; more precisely, in head-on collisions of

N

indistinguishable solitons the scattering angle (of the emerging structures relative to the incoming ones) is

\pi/N

. We also generate soliton-antisoliton solutions with elastic scattering; in particular, a head-on collision of a soliton and an antisoliton resulting in

90~0

scattering.

model: chiral
dimension: 3
symmetry: SU(2)
field equations: soliton
integrability
charge: conservation law
scattering: soliton
soliton: scattering
numerical calculations

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