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Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载：93/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions 期刊论文
MODERN PHYSICS LETTERS B, 2021, 卷号: 35, 期号: 32, 页码: 24
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：103/0  |  提交时间：2022/04/02
Modified KdV hierarchy  nonzero boundary conditions  Riemann-Hilbert problem  multi-triple-pole solitons and breathers  
Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 卷号: 477, 期号: 2245, 页码: 21
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：114/0  |  提交时间：2021/04/26
N-periodic wave solution  coupled KdV-Toda-type equation  Riemann's -function  the direct method  
A numerical study of the 3-periodic wave solutions to KdV-type equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 566-581
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
KdV-type equation  3-periodic wave solution  Riemann's theta-function  Gauss-Newton method  
Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 75, 页码: 30-36
作者:  Yu, Xin;  Sun, Zhi-Yuan;  Zhou, Kai-Wen;  Shen, Yu-Jia
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Variable-coefficient forced KdV equation  Nonlinear tunneling  Spacial inhomogeneity  Bilinear method  
New geometric flows on Riemannian manifolds and applications to Schrodinger-Airy flows 期刊论文
SCIENCE CHINA-MATHEMATICS, 2014, 卷号: 57, 期号: 11, 页码: 2247-2272
作者:  Sun XiaoWei;  Wang YouDe
收藏  |  浏览/下载：88/0  |  提交时间：2021/01/14
LANDAU-LIFSHITZ EQUATION  GLOBAL WELL-POSEDNESS  VORTEX FILAMENT  SOLITON  MAPS  KDV  new geometric flow  Schrodinger-Airy flow  global existence  
Geometric Schrodinger-Airy flows on Kahler manifolds 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 2, 页码: 209-240
作者:  Sun Xiao Wei;  Wang You De
收藏  |  浏览/下载：97/0  |  提交时间：2021/01/14
GLOBAL WELL-POSEDNESS  VORTEX FILAMENT  SYMMETRIC-SPACES  MKDV EQUATIONS  AXIAL-FLOW  MAPS  SOLITON  KDV  Schrodinger-Airy flow  complex-valued mKdV equation  KdV flow  generalized Hasimoto transformation  geometric energy method  conversation laws  
KdV GEOMETRIC FLOWS ON KAHLER MANIFOLDS 期刊论文
INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 卷号: 22, 期号: 10, 页码: 1439-1500
作者:  Sun, Xiaowei;  Wang, Youde
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
KdV geometric flow  conversation law  semi-conversation law  Hasimoto transformation  geometric energy method  
Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 卷号: 15, 期号: 9, 页码: 2344-2349
作者:  Cao, Yuan-Hao;  Wang, Deng-Shan
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Prolongation structure  Lax pair  KdV equation  Miura transformation  
A motion of spacelike curves in the Minkowski 3-space and the KdV equation 期刊论文
PHYSICS LETTERS A, 2010, 卷号: 374, 期号: 31-32, 页码: 3201-3205
作者:  Ding, Qing;  Wang, Wei;  Wang, Youde
收藏  |  浏览/下载：80/0  |  提交时间：2018/07/30
Moving curve  Uniqueness  Geometric interpretation  KdV equation