Riemann–Hilbert problems and N-soliton solutions of the nonlocal reverse space-time Chen–Lee–Liu equation
Riemann–Hilbert problems and N-soliton solutions of the nonlocal reverse space-time Chen–Lee–Liu equation
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DOI：
10.1088/1572-9494/acb81a
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发表时间：
2023-03
影响因子：
3.1
通讯作者：
Tongshuai Liu;T. Xia
中科院分区：
文献类型：
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作者：
Tongshuai Liu;T. Xia
本文导出了非定域逆时空Chen-Lee-Liu方程的N孤子解。在矩阵谱问题的非定域对称约化下，得到了非定域逆时空Chen-Lee-Liu方程。基于谱问题，构造了该非局部方程的特殊矩阵Riemann-Hilbert问题。通过求解这一Riemann-Hilbert问题，在跳跃矩阵为单位矩阵的情况下，得到了该非局部方程的N孤子解。
In this paper, the N-soliton solutions to the nonlocal reverse space-time Chen–Lee–Liu equation have been derived. Under the nonlocal symmetry reduction to the matrix spectral problem, the nonlocal reverse space-time Chen–Lee–Liu equation can be obtained. Based on the spectral problem, the specific matrix Riemann–Hilbert problem is constructed for this nonlocal equation. Through solving this associated Riemann–Hilbert problem, the N-soliton solutions to this nonlocal equation can be obtained in the case of the jump matrix as an identity matrix.