变系数非线性偏微分系统的非局部对称与达布变换

12001424
2020
A0308.可积系统及其应用
夏亚荣
青年科学基金项目
副教授
西安文理学院
24万元
孤子解 ;非局部方程;变系数非线性系统;Darboux 变换;非局部对称
2021-01-01到2023-12-31
  • 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 Nonlocal symmetries and solutions of the (2+1) dimension integrable Burgers equation 期刊论文 Xiangpeng Xin;Meng Jin;Jiajia Yang;Yarong Xia
2 Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2+1)-dimensional Sawada-Kotera equation 期刊论文 Li Yan;Yao Ruoxia;Xia Yarong;Lou Senyue
3 Nonlocal symmetry, Painlevé integrable and interaction solutions for CKdV equations 期刊论文 Xia Yarong;Yao Ruoxia;Xin Xiangpeng;Li Yan
4 Darboux transformation and soliton solutions of a nonlocal Hirota equation 期刊论文 Xia Yarong;Yao Ruoxia;Xin Xiangpeng
5 Residual symmetry,Backlund transformation and soliton solutions of higher-order Broer-Kaup system 期刊论文 Xia Yarong;Yao Ruoxia;Xin Xiangpeng
6 Molecules and New Interactional Structures for a (2+1)-Dimensional Generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt Equation 期刊论文 Yan Li;Ruoxia Yao;Yarong Xia
7 Nonlinear superposition among lump soliton, stripe solitons and other nonlinear localized waves of the (2+1)-dimensional cpKP-BKP equation 期刊论文 Yan Li;Xiazhi Hao;Ruoxia Yao;Yarong Xia;Yali Shen
8 Trajectory equation of a lump before and after collision with other waves for (2+1)-dimensional Sawada–Kotera equation 期刊论文 Yarong Xia;Ruoxia Yao;Xiangpeng Xin;Yan Li
9 Trajectory equation of a lump before and after collision with other waves for generalized Hirota-Satsuma-Ito equation 期刊论文 Yarong Xia;Kaikai Zhang;Ruoxia Yao;Yali Shen
10 Bäcklund transformations, Symmetry reductions and Exact solutions of (2+1)-dimensional nonlocal DS equations 期刊论文 Xiangpeng Xin;Yarong Xia;Lihua Zhang;Hanze Liu
11 Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations 期刊论文 Xin Xiangpeng;Liu Yutang;Xia Yarong;Liu Hanze
12 非线性偏微分系统的可积性及应用 专著 夏亚荣
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