数学物理

10925104
2009
A0308.可积系统及其应用
屈长征
国家杰出青年科学基金
教授
西北大学
140万元
不变几何流；可积系统；非线性偏微分方程；对称；不变量
2010-01至2013-12
  • 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 Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation 期刊论文 Xiaochuan Liu;Changzheng Qu;Yue Liu
2 Orbital Stability of Periodic Peakons to a Generalized μ -Camassa–Holm Equation 期刊论文 屈长征|Ying Zhang|Xiaochuan Liu|Yue Liu|
3 Invariant sets and solutions to the generalized thin film equation 期刊论文 Zhu, Cluin-Rong|Qu, Chang-Zheng|
4 Integrable motions of curves in projective geometries 期刊论文 Yanyan Li;Changzheng Qu;Shichang Shu
5 On the blow-up structure for the generalized periodic Camassa–Holm and Degasperis–Procesi equations 期刊论文 Ying Fu|Yue Liu|屈长征|
6 On the model of the compressible hyperelastic rods and Euler equations on the circle 期刊论文 Zhu, Min|Liu, Yue|Qu, Changzheng|
7 A new integrable two-component system with cubic nonlinearity 期刊论文 Junfeng Song;Changzheng Qu;Zhijun Qiao
8 Hodograph-type transformations for linearization of systems of nonlinear diffusion equations. 期刊论文 康静|屈长征|
9 Finite speed of propagation for thin viscous flows over an inclined plane 期刊论文 Liu Xiaochuan;Qu Changzheng
10 Symmetry groups and fundamental solutions for systems of parabolic equations 期刊论文 康静|屈长征|
11 Well-posedness, wave breaking and peakons for a modified μ -Camassa–Holm equation 期刊论文 屈长征|Ying Fu|Yue Liu|
12 Maximal dimension of invariant subspaces admitted by nonlinear vector differential operators 期刊论文 Chunrong Zhu;Changzheng Qu
13 Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries? 期刊论文 屈长征|宋军峰|姚若侠|
14 Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry 期刊论文 Junfeng Song;Changzheng Qu
15 Conditional Lie-Backlund symmetries and invariant subspaces to non-linear diffusion equations 期刊论文 Lina Ji;Changzheng Qu
16 Group-theoretical framework for potential symmetries of evolution equations 期刊论文 Qing Huang;Changzheng Qu;Renat Zhdanov
17 Well-posedness and blow up solution for a modified two-component periodic Camassa-Holm system with peakons 期刊论文 Ying Fu|Y Liu|屈长征|
18 GROUP CLASSIFICATION OF LINEAR FOURTH-ORDER EVOLUTION EQUATIONS 期刊论文 Huang Qing;Qu Changzheng;Zhdanov Renat
19 Solutions and symmetry reductions of the n-dimensional non-linear convection-diffusion equations 期刊论文 Ji Lina;Qu Changzheng;Ye Yaojun
20 Blow up of Solutions and Traveling Waves to the Two-Component μ-Camassa–Holm System，Int. Math. Res. Not. IMRN 2013 （2013）, no. 15, 3386–3419 期刊论文 张颖|Yue Liu|屈长征|
21 Lie group classification of the N-th-order nonlinear evolution equations 期刊论文 Shen ShouFeng;Qu ChangZheng;Huang Qing;Jin YongYang
22 Wave breaking and peakons for a modified Camassa-Holm equation, Comm. Math. Phys. 139 (2013) 731-759. 期刊论文 G.L. Gui|Y.Liu|P.Olver|屈长征|
23 Cassification of positive solutions for an elliptic system with a higher-order fractional Laplacian 期刊论文 窦井波;屈长征
24 Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry 期刊论文 Junfeng Song;Changzheng Qu
25 Stability of peakons for an integrable modified Camassa-Holm equation 期刊论文 屈长征|Xiaochuan Liu|Yue Liu|
26 Stability of peakons for the Novikov equation, 期刊论文 Xiaochuan Liu|Yue Liu|屈长征|
27 Symmetry and regularity of solutions to a system with three-component integral equations 期刊论文 Changzheng Qu|Jingbo Dou|
28 Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations. 期刊论文 屈长征|Lina Ji|
29 Symmetry and nonexistence of positive solutions to an integral system with weighted functions 期刊论文 Jingbo Dou|Changzheng Qu|Yazhou Han|
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