Scattering of periodic solitons

TL;DR

This paper investigates the scattering behavior of multiple solitons in a (2+1)-dimensional CP^1 model with periodic boundaries, revealing symmetry-dependent scattering angles explained via geodesic approximation.

Contribution

It provides numerical analysis of N-soliton scattering with periodic boundary conditions and explains observed scattering patterns through a geodesic approximation approach.

Findings

Scattering angles match rom predictions for symmetric configurations.

Angles differ from or asymmetric boundary conditions.

Geodesic approximation effectively explains scattering patterns.

Abstract

With the help of numerical simulations we study N-soliton scattering (N=3,4) in the (2+1)-dimensional CP^1 model with periodic boundary conditions. When the solitons are scattered from symmetrical configurations the scattering angles observed agree with the earlier \pi/N predictions based on the model on R_2 with standard boundary conditions. When the boundary conditions are not symmetric the angles are different from \pi/N. We present an explanation of our observed patterns based on a properly formulated geodesic approximation.