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PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 3, 页码: 2876-2905
Authors:  Yuan, Qian;  Yuan, Yuan
Favorite  |  View/Download：5/0  |  Submit date：2023/02/07
   compressible Navier--Stokes equations  viscous shock waves  composite waves  periodic perturbations  
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
Authors:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
Favorite  |  View/Download：74/0  |  Submit date：2021/04/26
N-periodic wave solution  coupled KdV-Toda-type equation  Riemann's -function  the direct method  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
Authors:  Hu, Xingbiao;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
Favorite  |  View/Download：86/0  |  Submit date：2021/01/14
mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation 期刊论文
Journal of Physics A: Mathematical and Theoretical, 2020, 卷号: 53, 期号: 39
Authors:  Hu,Xingbiao;  Pan,Yan;  Sun,Jianqing;  Wang,Hui;  Zhang,Yingnan
Favorite  |  View/Download：79/0  |  Submit date：2021/01/14
mKdV–sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 2, 页码: 579-598
Authors:  Thang, Yingnan;  Hu, Xingbiao;  He, Yi;  Sun, Jianqing
Favorite  |  View/Download：105/0  |  Submit date：2020/01/10
Toda-type equation  N-periodicwave solution  Riemann's theta-function  Gauss-Newton 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
Authors:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
Favorite  |  View/Download：105/0  |  Submit date：2018/07/30
KdV-type equation  3-periodic wave solution  Riemann's theta-function  Gauss-Newton method  
On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data 期刊论文
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2010, 卷号: 7, 期号: 4, 页码: 345-373
Authors:  Li, Dong;  Zhang, Xiaoyi
Favorite  |  View/Download：62/0  |  Submit date：2018/07/30
Focusing mass critical NLS  Sobolev regularity  scattering conjecture  
REGULARITY OF ALMOST PERIODIC MODULO SCALING SOLUTIONS FOR MASS-CRITICAL NLS AND APPLICATIONS 期刊论文
ANALYSIS & PDE, 2010, 卷号: 3, 期号: 2, 页码: 175-195
Authors:  Li, Dong;  Zhang, Xiaoyi
Favorite  |  View/Download：67/0  |  Submit date：2018/07/30
Schrodinger equation  mass-critical  
Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations 期刊论文
PHYSICS LETTERS A, 2007, 卷号: 361, 期号: 3, 页码: 223-230
Authors:  Yan, Zhenya
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higher-dimensional generalized Boussinesq equation  similarity reductions  solitary wave-like solution  doubly-periodic wave-like solution  
New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 43, 期号: 3, 页码: 391-396
Authors:  Yan, ZY
Favorite  |  View/Download：55/0  |  Submit date：2018/07/30
soliton equations  Weierstrass elliptic function  doubly periodic solution  symbolic computation