A. Kudryavtsev et al., SOLITON-SOLITON AND WAVE-SOLITON COLLISIONS IN SKYRME-LIKE SIGMA-MODELS, Zeitschrift fur Physik. C, Particles and fields, 60(4), 1993, pp. 731-736
A skyrme-like version of the (2 + 1)-dimensional classical sigma-model
is considered. Some aspects of soliton-soliton collisions are studied
using both the numerical and phenomenological approaches. In particul
ar, the problem of 90-degrees scattering of solitons in the head-on co
llisions is analyzed. Properties of the two-soliton configurations for
upsilon is similar to upsilon(cr) are discussed in terms of a specifi
c solution, which may be called a ''disoliton''. This solution corresp
onds to a saddle point in the space of field configurations and is uns
table with respect to the decay into two weil separated solitons. Diff
erent classes of field configurations, which may be called ''one-dimen
sional'' wave packets, are also studied as well as the interaction of
these wave packets with a soliton.