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Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials 期刊论文
NONLINEAR DYNAMICS, 2022, 页码: 12
Authors:  Li, Xin;  Wang, Li;  Zhou, Zijian;  Chen, Yong;  Yan, Zhenya
Favorite  |  View/Download：94/0  |  Submit date：2022/04/29
Nonlinear Schrodinger equation  PT-symmetric harmonic-hyperbolic-Gaussian potential  Soliton stability  Soliton excitations and collisions  
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 125, 页码: 8
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Zhou, Zijian;  Yan, Zhenya
Favorite  |  View/Download：78/0  |  Submit date：2022/04/02
Five-component Manakov system  Non-zero/zero background  Semi-rational solutions  Rogue waves/rogons  Solitons  
Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2257, 页码: 23
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download：72/0  |  Submit date：2022/04/02
rational vector rogue waves  rational vector solitons  weak and strong interactions  n-component nonlinear wave system with higher-order effects  modified Darboux transform  
Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac-delta(x)-Scarf-II optical potentials 期刊论文
PHYSICAL REVIEW E, 2022, 卷号: 105, 期号: 1, 页码: 16
Authors:  Zhong, Ming;  Chen, Yong;  Yan, Zhenya;  Tian, Shou-Fu
Favorite  |  View/Download：82/0  |  Submit date：2022/04/02
A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 19
Authors:  Xu, Fei;  Xie, Hehu;  Xie, Manting;  Yue, Meiling
Favorite  |  View/Download：94/0  |  Submit date：2021/04/26
BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings 期刊论文
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 卷号: 22, 期号: 2, 页码: 21
Authors:  Zhang, Xinqiu;  Zhang, Zhitao
Favorite  |  View/Download：113/0  |  Submit date：2020/06/30
Schrodinger system  linear and nonlinear couplings  uniqueness  synchronized solution  
ON GROUND STATE OF FRACTIONAL SPINOR BOSE EINSTEIN CONDENSATES 期刊论文
ADVANCES IN DIFFERENTIAL EQUATIONS, 2020, 卷号: 25, 期号: 3-4, 页码: 105-134
Authors:  Cao, Daomin;  He, Jinchun;  Xu, Haoyuan;  Yang, Meihua
Favorite  |  View/Download：127/0  |  Submit date：2020/09/23
Existence of optical vortices in R-2 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 50, 页码: 67-85
Authors:  Guo, Qing;  Cao, Daomin;  Li, Hang
Favorite  |  View/Download：166/0  |  Submit date：2020/01/10
Optical vortices  Variational methods  Concentration compactness  Nodal solutions  
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 1072-1087
Authors:  Xie, Hehu;  Xie, Manting
Favorite  |  View/Download：102/0  |  Submit date：2020/05/24
Bose-Einstein condensate  Gross-Pitaevskii equation  Finite element method  Computable error estimates  Lower bound  
Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 卷号: 475, 期号: 1, 页码: 350-363
Authors:  Luo, Haijun;  Zhang, Zhitao
Favorite  |  View/Download：123/0  |  Submit date：2020/01/10
Nonlinear Schrodinger equations  Bound state solution  Perturbation method  Pohozaev-Nehari identity