Families of normalizes equations in the problem of dislocations in a solid body

Аннотация

A classical nonlinear differential equation with deviations in a spatial variable is considered. Solutions with initial conditions from a small neighborhood of equilibrium are studied by constructing multiparameter families of special nonlinear systems of equations, which play the role of normal forms. Systems of Schrödinger-type nonlinear equations in a two-dimensional domain are presented.