Published March 2013 | Version v1
Journal article

On Solutions of the Integrable Boundary Value Problem for KdV Equation on the Semi-Axis

  • 1. Saratov State University, Department of Mathematics (Russian Federation)

Description

This paper is concerned with the Korteweg–de Vries (KdV) equation on the semi-axis. The boundary value problem with inhomogeneous integrable boundary conditions is studied. We establish some characteristic properties of solutions of the problem. Also we construct a wide class of solutions of the problem using the inverse spectral method.

Additional details

Identifiers

Publishing Information

Journal Title
Mathematical Physics, Analysis and Geometry
Journal Volume
16
Journal Issue
1
Journal Page Range
p. 19-47
ISSN
1385-0172

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44108564
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUNDARY CONDITIONS; BOUNDARY-VALUE PROBLEMS; INTEGRAL CALCULUS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL SOLUTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS

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Copyright
Copyright (c) 2012 Springer Science+Business Media B.V.