Reduced dynamics of Ward solitons. (English) Zbl 1083.37055
The authors show that a geodesic motion on the moduli space of static solutions approximates the nonrelativistic dynamics of Ward solitons. These solutions are compared with the exact solutions which describe nonscattering or scattering solitons.
Reviewer: Mircea Puta (Timişoara)
MSC:
37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
35Q51 | Soliton equations |
58E50 | Applications of variational problems in infinite-dimensional spaces to the sciences |