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| A Riemann-Hilbert Approach to the Harry-Dym Equation on the Line |
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Citation： |
Y. Xiao,E. G. Fan.A Riemann-Hilbert Approach to the Harry-Dym Equation on the Line[J].Chinese Annals of Mathematics B,2016,37(3):373~384 |
| Page view： 1373
Net amount： 943 |
Authors： |
Y. Xiao; E. G. Fan |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11271079). |
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| Abstract： |
In this paper, the authors consider the Harry-Dym equation on the
line with decaying initial value. They construct the solution of
the Harry-Dym equation via the solution of a $2 \times 2$ matrix
Riemann-Hilbert problem in the complex plane. Further, one-cusp
soliton solution is expressed in terms of the Riemann-Hilbert
problem. |
Keywords： |
Harry-Dym equation, Riemann-Hilbert problem, Initial-value
problem, One-cusp soliton solution |
Classification： |
17B40, 17B50 |
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