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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
作者:  Hu, Xingbiao;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
收藏  |  浏览/下载:167/0  |  提交时间: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
作者:  Hu,Xingbiao;  Pan,Yan;  Sun,Jianqing;  Wang,Hui;  Zhang,Yingnan
收藏  |  浏览/下载:146/0  |  提交时间:2021/01/14
mKdV–sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 402, 页码: 14
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:184/0  |  提交时间:2020/05/24
Nonlocal mKdV equation  Non-zero boundary conditions  Riemann surface  Inverse scattering transform  Matrix Riemann-Hilbert problem  Solitons  
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:123/0  |  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  
The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 203, 期号: 1, 页码: 106-112
作者:  Yan, Zhenya
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
modified Korteweg-de Vries ( mKdV)  equation with variable coefficients  exact solutions  
Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 卷号: 45, 期号: 5, 页码: 785-789
作者:  Wang, MJ;  Wang, Q
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
extended Riccati equation rational expansion method  nonlinear stochastic evolution equation  stochastic mKdV equation  soliton-like solutions  
New explicit rational solitary wave solutions for discretized mKdV lattice equation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 44, 期号: 6, 页码: 1011-1014
作者:  Yu, YX;  Wang, Q;  Zhang, HQ
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
differential-difference equations  discretized mKdV lattice equation  solitary wave solution  rational expand method  
Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 166, 期号: 3, 页码: 571-583
作者:  Yan, ZY
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
mKdV equation  the decomposition method  Jacobi elliptic function solution  error analysis  
The stochastic soliton-like solutions of stochastic mKdV equations 期刊论文
CZECHOSLOVAK JOURNAL OF PHYSICS, 2005, 卷号: 55, 期号: 1, 页码: 1-8
作者:  Chen, Y;  Li, B
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
extended projective Riccati equation method  stochastic mKdV equations  stochastic soliton-like solutions  
A family of S-mKdV hierarchy of equations and its expanding integrable models 期刊论文
ACTA PHYSICA SINICA, 2003, 卷号: 52, 期号: 1, 页码: 5-11
作者:  Zhang, YF;  Yan, QY;  Zhang, HQ
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
loop algebra  Hamiltonian structure  expanding integrable model  Schrodinger equation  mKdV equation