We consider the initial-boundary-value problem for the intermediate long-wave (ILW) equation on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary-value problem and the asymptotic behavior of solutions for large time.
Felipe Benitez. Elena I. Kaikina. "Dirichlet problem for intermediate long-wave equation." Differential Integral Equations 24 (11/12) 1163 - 1192, November/December 2011. https://doi.org/10.57262/die/1356012882