A Riemann-Hilbert approach to the Harry-Dym equation on the line
Exactly Solvable and Integrable Systems
2014-06-25 v1
Abstract
In this paper, we consider the Harry-Dym equation on the line with decaying initial value. The Fokas unified method is used to construct the solution of the Harry-Dym equation via a matrix Riemann Hilbert problem in the complex plane. Further, one-cups soltion solution is expressed in terms of solutions of the Riemann Hilbert problem.
Keywords
Cite
@article{arxiv.1406.6159,
title = {A Riemann-Hilbert approach to the Harry-Dym equation on the line},
author = {Yu Xiao and Engui Fan},
journal= {arXiv preprint arXiv:1406.6159},
year = {2014}
}
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17 pages