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ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 12, 页码: 6837-6854
作者:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载:209/0  |  提交时间:2020/01/10
Stochastic nonlinear Schrodinger equation  multiplicative noise  global existence  blow-up  exponential integrability  
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:  Brehier, Charles-Edouard;  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载:169/0  |  提交时间:2020/01/10
stochastic Allen-Cahn equation  splitting scheme  strong convergence rate  exponential integrability  
Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5625-5663
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
收藏  |  浏览/下载:158/0  |  提交时间:2019/03/11
Stochastic nonlinear Schrodinger equation  Strong convergence rate  Exponential integrability  Splitting scheme  Non-monotone coefficients  
ANALYSIS OF A SPLITTING SCHEME FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION WITH MULTIPLICATIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2045-2069
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载:142/0  |  提交时间:2018/10/07
damped stochastic nonlinear Schrodinger equation  exponential integrability  strong order  weak order  Kolmogorov equation  
Strong convergence rate of finite difference approximations for stochastic cubic Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 7, 页码: 3687-3713
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
Stochastic cubic Schrodinger equation  Strong convergence rate  Central difference scheme  Exponential integrability  Continuous dependence  
Liouville Integrability of Conservative Peakons for a Modified CH equation 期刊论文
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2017, 卷号: 24, 期号: 4, 页码: 584-595
作者:  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载:131/0  |  提交时间:2018/07/30
Conservative peakons  Liouville integrability  
One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 卷号: 8, 期号: 5, 页码: 1085-1097
作者:  Zhang Yingnan;  He Yi;  Tam HonWah
收藏  |  浏览/下载:103/0  |  提交时间:2021/01/14
SOLITON-SOLUTIONS  EQUATIONS  LATTICE  Integrability  soliton solution  Backlund transformation (BT)  nonlinear superposition formula  
A supersymmetric Sawada-Kotera equation 期刊论文
PHYSICS LETTERS A, 2009, 卷号: 373, 期号: 21, 页码: 1807-1810
作者:  Tian, Kai;  Liu, Q. P.
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
Integrability  Lax representation  Recursion operator  Supersymmetry  
A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system 期刊论文
PHYSICS LETTERS A, 2006, 卷号: 359, 期号: 1, 页码: 47-51
作者:  Sun, Ye-Peng;  Chen, Deng-Yuan;  Xu, Xi-Xiang
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
differential-difference equation  Hamiltonian structure  binary nonlinearization  Liouville integrability  
Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2006, 卷号: 57, 期号: 5, 页码: 723-732
作者:  Shi, Shaoyun;  Zhu, Wenzhuang;  Liu, Baifeng
收藏  |  浏览/下载:76/0  |  提交时间:2018/07/30
first integrals  Kowalevsky matrix  Laurent polynomials  partial integrability  semi-quasihomogeneous systems