Abstract
We consider the homogeneous Neumann initial-boundary value problem for 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.
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Árciga Alejandre, M.P., Kaikina, E.I. Global existence and asymptotic behavior of solutions to the homogeneous Neumann problem for ILW equation on a half-line. Nonlinear Differ. Equ. Appl. 19, 459–483 (2012). https://doi.org/10.1007/s00030-011-0138-x
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DOI: https://doi.org/10.1007/s00030-011-0138-x