Algorithm for Solving the Cauchy Problem for One Infinite-Dimensional System of Nonlinear Differential Equations

Resumo

The Cauchy problem for an infinite-dimensional system of nonlinear evolution equations, which is a generalization of the Langmuir chain, is considered. The global solvability of the problem in the class of rapidly decreasing functions is established. By the inverse spectral method, an algorithm for constructing the solution is obtained.