Lump Scattering on a Torus
Abstract
Description
Head-on collisions between two solitons in the pure $CP^1$ model on a flat torus are investigated via numerical simulations. The charge-two lumps, written out in terms of Weierstrass' elliptic $\wp$-function, are found to scatter at 90$^{\circ}$. The phenomenon of singularity formation is also seen.
13 pages, including 6 figures
13 pages, including 6 figures