Long time behavior and soliton solution for the Harry Dym equation
Long time behavior and soliton solution for the Harry Dym equation
复制标题
Harry Dym 方程的长时间行为和孤子解
DOI:
10.1016/j.jmaa.2019.06.019
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发表时间:
2019-12
影响因子:
1.3
通讯作者:
Engui Fan
中科院分区:
文献类型:
--
作者:
Yu Xiao;Engui Fan
In this paper, we consider the Harry-Dym equation with the decaying initial data. Using the nonlinear steepest decent method of Deift and Zhou for Riemann-Hilbert problems, we firstly obtain the explicit leading asymptotic of solution of by Harry-Dym equation by transforming its Lax pairs. What'more, in the framework of the Riemann-Hilbert problem, we can find cusp soliton.
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DOI:
10.1007/3-540-07171-7
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期刊:
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