Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-04-21
J.Math.Phys. 37 (1996) 3422-3441
Physics
High Energy Physics
High Energy Physics - Theory
21 pages + 9 figures, LaTex (fingures are not included), to appear in Journal of Mathematical Physics
Scientific paper
10.1063/1.531573
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.
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