Perturbations of giant magnons and single spikes in $\mathbb{R}\times S^2$

Soumya Bhattacharya, Sayan Kar, Kamal L. Panigrahi

Perturbations of giant magnons and single spikes in a $2+1$ dimensional $\mathbb{R}\times S^2$ background spacetime are analysed. Using the form of the giant magnon solution in the…