代数曲线在与高阶矩阵谱问题相联系的可积系统中的应用

11901538
2019
A0308.可积系统及其应用
魏姣
青年科学基金项目
副教授
郑州大学
27万元
高阶矩阵谱问题;代数曲线;Riemann 面;代数几何解
2020-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Analytic Riemann theta function solutions of coupled Korteweg-de Vries hierarchy 期刊论文 Jia Minxin;Geng Xianguo;Zhai Yunyun;Wei Jiao;Liu Huan
2 Rational solutions for a (3+1)-dimensional nonlinear evolution equation 期刊论文 Wang Xin;Wei Jiao;Geng Xianguo
3 Lump and lump-soliton interaction solutions for an integrable variable coefficient Kadomtsev-Petviashvili equation 期刊论文 Wang Xin;Li Jina;Wang Lei;Wei Jiao;Guo Bowen
4 Rogue waves in the three-level defocusing coupled Maxwell–Bloch equations 期刊论文 Wang Xin;Wang Lei;Wei Jiao;Guo Bowen;Kang Jingfeng
5 Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell–Bloch equations 期刊论文 Wang Xin;Wang Lei;Liu Chong;Guo Bowen;Wei Jiao
6 Three-sheeted Riemann surface and solutions of the Itoh–Narita–Bogoyavlensky lattice hierarchy 期刊论文 Geng Xianguo;Wei Jiao
7 Finite genus solutions of the generalized Merola–Ragnisco–Tu lattice hierarchy 期刊论文 Wei Jiao;Geng Xianguo;Wang Xin;Zhai Yunyun
8 Multi-bright-dark soliton solutions to the AB system in nonlinear optics 期刊论文 Zhai Yunyun;Wei Lifei;Geng Xianguo;Wei Jiao
9 Darboux transformation of a two-component generalized Sasa-Satsuma equation and explicit solutions 期刊论文 Geng Xianguo;Li Yihao;Wei Jiao;Zhai Yunyun
10 Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal PT symmetric nonlinear Schrödinger equation 期刊论文 Wang Xin;Wei Jiao
11 Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions 期刊论文 Jia Minxin;Geng Xianguo;Wei Jiao;Zhai Yunyun;Liu Huan
12 Antidark solitons and soliton molecules in a (3+1)-dimensional nonlinear evolution equation 期刊论文 Wang Xin;Wei Jiao
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