On the solutions of some boundary value problems for the general KdV equation
Mathematical Physics
2015-06-18 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1402.2662,
title = {On the solutions of some boundary value problems for the general KdV equation},
author = {Mikhail Yu. Ignatyev},
journal= {arXiv preprint arXiv:1402.2662},
year = {2015}
}