Abstract
This paper is concerned with a class of partial differential equations, which are linear combinations, with constant coefficients, of the classical flows of the KdV hierarchy. A boundary value problem with inhomogeneous boundary conditions of a certain special form is studied. We construct some class of solutions of the problem using the inverse spectral method.
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Ignatyev, M.Y. On the Solutions of Some Boundary Value Problems for the General Kdv Equation. Math Phys Anal Geom 17, 493–509 (2014). https://doi.org/10.1007/s11040-014-9167-0
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DOI: https://doi.org/10.1007/s11040-014-9167-0