RUS  ENG
Full version
JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 1(2), Pages 46–49 (Mi isu371)

Mathematics

On Solutions of Some Boundary Value Problems for General KdV Equation

M. Yu. Ignatyev

Saratov State University

Abstract: This paper deals with the general equation of Korteweg-de Vries (KdV) hierarchy. A boundary-value problem with certain inhomogeneous boundary conditions is studied. We construct the wide class of solutions of the problem using the inverse spectral method.

Key words: KdV hierarchy, boundary–value problems, integrability, inverse spectral method.

UDC: 517.95, 517.984

DOI: 10.18500/1816-9791-2013-13-1-2-46-49



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024