On the solutions of some boundary value problems for the general KdV equation

Mikhail Yu. Ignatyev

Published 2014-02-11, updated 2014-11-09Version 2

This paper is concerned with a class of partial differential equations, which are the 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.