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Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions 期刊论文
CHAOS, 2020, 卷号: 30, 期号: 1, 页码: 10
Authors:  Wang, Li;  Yan, Zhenya;  Guo, Boling
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The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons 期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
Authors:  Chen, Shuyan;  Yan, Zhenya
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Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 69, 页码: 113-120
Authors:  Zhang, Guoqiang;  Yan, Zhenya;  Chen, Yong
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Integrable nonlocal nonlinear schrodinger equation  Lax pair  Loop group method  Generalized darboux transformation  Higher-order rational solitons  
Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential 期刊论文
CHAOS, 2016, 卷号: 26, 期号: 6, 页码: 11
Authors:  Wen, Xiao-Yong;  Yan, Zhenya;  Yang, Yunqing
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Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms (vol 81, pg 833, 2015) 期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 81, 期号: 1-2, 页码: 843-843
Authors:  Yang, Yunqing;  Wang, Xin;  Yan, Zhenya
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Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms 期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 81, 期号: 1-2, 页码: 833-842
Authors:  Yang, Yungqing;  Wang, Xin;  Yan, Zhenya
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The generalized nonlinear Schrodinger (NLS) equation  The LPD-Hirota equation  Similarity reduction method  Rogue wave solutions  Motions of the hump and valleys  
Well-posedness for the fourth-order nonlinear derivative Schrodinger equation in higher dimension 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2011, 卷号: 96, 期号: 2, 页码: 190-206
Authors:  Huo, Zhaohui;  Jia, Yueling
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Fourth-order Schrodinger equation  Well-posedness  Dyadic X(s,b) spaces  
Three-dimensional rogue waves in nonstationary parabolic potentials 期刊论文
PHYSICAL REVIEW E, 2010, 卷号: 82, 期号: 3, 页码: 7
Authors:  Yan, Zhenya;  Konotop, V. V.;  Akhmediev, N.
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A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation 期刊论文
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 卷号: 63, 期号: 12, 页码: 763-777
Authors:  Li, Biao;  Chen, Yong;  Li, Yu-Qi
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Inhomogeneous High-Order NLS Equation  Elliptic Function Solutions  Solitary Wave Solutions  
Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 卷号: 40, 期号: 10, 页码: 2425-2437
Authors:  Tang, Yifa;  Cao, Jianwen;  Liu, Xiangtao;  Sun, Yuanchang
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