Published September 2016
| Version v1
Journal article
The Initial-boundary Value Problem for the Ostrovsky-Vakhnenko Equation on the Half-line
Creators
- 1. University of Shanghai for Science and Technology, College of Science (China)
- 2. Fudan University, School of Mathematical Sciences, Key Laboratory of Mathematics for Nonlinear Science (China)
Description
We analyze an initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line. This equation can be viewed as the short wave model for the Degasperis-Procesi (DP) equation. We show that the solution u(x,t) can be recovered from its initial and boundary values via the solution of a vector Riemann-Hilbert problem formulated in the plane of a complex spectral parameter z.
Additional details
Identifiers
Publishing Information
- Journal Title
- Mathematical Physics, Analysis and Geometry
- Journal Volume
- 19
- Journal Issue
- 3
- Journal Page Range
- p. 1-17
- ISSN
- 1385-0172
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 48058711
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY-VALUE PROBLEMS; EQUATIONS; HILBERT SPACE; MATHEMATICAL SOLUTIONS; RIEMANN SPACE; VECTORS
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL SPACE; SPACE; TENSORS
Optional Information
- Copyright
- Copyright (c) 2016 Springer Science+Business Media Dordrecht