Nv. Vysotina et al., INTERACTIONS OF SPATIAL SOLITONS IN A MEDIUM WITH A SATURABLE NONLINEARITY - I - WEAK INTERACTION OF SOLITONS FOR LARGE ANGLES OF COLLISION, Optics and spectroscopy, 85(2), 1998, pp. 218-224
An estimate is made for the critical angle separating the regions of w
eak (large angles of collision) and strong (small angles) interactions
of colliding solitons. An analytical theory is constructed that makes
it possible to calculate parameters of scattered solitons for weak in
teractions. It is shown that in the case of central collisions of spat
ial solitons they freely pass through one another and act as tradition
al one-dimensional solitons.