N-soliton-type solutions of the self-dual Yang-Mills equations in $M^4$

We have investigated by computer in the case $N=2$ the dynamics of an $N$-soliton type ($N$-monopole-type) solution of the self-dual Yang–Mills equations in Minkowski space-time $M^4$ found previously. Even for $N=2$ this solution involves choices of up to 18 parameters. For “head-on” collisions an exotic dynamics already develops, involving disappearance of the monopoles, their exchange, and/or the appearance of additional features, spheres and discs.