On the solutions of some boundary value problems for the general KdV equation
arXiv:1402.2662 · doi:10.1007/s11040-014-9167-0
Abstract
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.