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A Riemann-Hilbert Approach to the Harry-Dym Equation on the Line 被引量:3

A Riemann-Hilbert Approach to the Harry-Dym Equation on the Line
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摘要 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 × 2 matrix Riemann-Hilbert problem in the complex plane. Further, onecusp soliton solution is expressed in terms of the Riemann-Hilbert problem. 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 × 2 matrix Riemann-Hilbert problem in the complex plane. Further, one- cusp soliton solution is expressed in terms of the Riemann-Hilbert problem.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第3期373-384,共12页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(No.11271079)
关键词 Harry-Dym方程 希尔伯特问题 黎曼问题 2×2矩阵 复平面 孤子解 Harry-Dym equation, Riemann-Hilbert problem, Initial-value problem,One-cusp soliton solution
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