Journal
CHINESE ANNALS OF MATHEMATICS SERIES B
Volume 37, Issue 3, Pages 373-384Publisher
SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
DOI: 10.1007/s11401-016-0966-4
Keywords
Harry-Dym equation; Riemann-Hilbert problem; Initial-value problem; One-cusp soliton solution
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Funding
- National Natural Science Foundation of China [11271079]
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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 x 2 matrix Riemann-Hilbert problem in the complex plane. Further, one-cusp soliton solution is expressed in terms of the Riemann-Hilbert problem.
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