Abstract:
A nonlinear system of Lax-type equations is studied. The system is the basis of the construction of triangular models for commutative systems of linear non-selfadjoint bounded operators. Some of its solutions for $n=4$ are described. In one of the cases, the general solution is explicitly expressed in terms of special (elliptic) functions.
Key words and phrases:triangular models, nonlinear differential equations, commutative systems of linear non-selfadjoint operators.
Fulltext:
PDF file (205 kB)