The unified transform method for the Sasa–Satsuma equation on the half-line

The unified transform method for the Sasa–Satsuma equation on the half-line
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DOI:
10.1098/rspa.2013.0068
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发表时间:
2013-11
期刊:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
影响因子:
--
通讯作者:
Jian Xu;E. Fan
Jian Xu;E. Fan
中科院分区:
其他
文献类型:
--
作者:
Jian Xu;E. Fan

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We implement the unified transform method to the initial-boundary value (IBV) problem of the Sasa–Satsuma equation on the half line. In addition to presenting the basic Riemann–Hilbert formalism, which linearizes this IBV problem, we also analyse the associated general Dirichlet to Neumann map using the so-called global relation.