For the 1+2 dimensional AKNS system of lower order, a linear system which separates variables is constructed. It is found out that any nonlinear equation generated by such a linear hyperbolic su(N) system admits solutions which tend to zero in all directions in the space. The solutions given by n-th Darboux transformation split up into more than n solitons as t tends to infinity. The application to Davey-Stewartson I equation is considered.

Full text: [PDF File] (1090KB)