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Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 卷号: 80, 页码: 22
Authors:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
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Hirota equation  Non-zero boundary conditions  Inverse scattering  Riemann-Hilbert problem  Solitons  Breathers  
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  
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves 期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 95, 页码: 65-71
Authors:  Chen, Shuyan;  Yan, Zhenya
Favorite  |  View/Download:10/0  |  Submit date:2020/01/10
Hirota equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers  Rogue waves  
A semi-discrete modified KdV equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 4, 页码: 12
Authors:  Sun, Jianqing;  Hu, Xingbiao;  Zhang, Yingnan
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Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation 期刊论文
CHAOS, 2015, 卷号: 25, 期号: 10, 页码: 9
Authors:  Yang, Yunqing;  Yan, Zhenya;  Malomed, Boris A.
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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  
INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM 期刊论文
Journal of Computational Mathematics, 2015, 卷号: 33, 期号: 5, 页码: 468
Authors:  He Yang;  Sun Yajuan;  Shang Zaijiu
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integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation 期刊论文
sciencechinamathematics, 2015, 卷号: 58, 期号: 2, 页码: 279
Authors:  Zhang Yingnan;  Chang Xiangke;  Hu Juan;  Hu Xingbiao;  Tam Hon Wah
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The Global Attractor of a Damped, Forced Hirota Equation in H-1 期刊论文
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2010, 卷号: 53, 期号: 2, 页码: 295-310
Authors:  Guo, Boling;  Huo, Zhaohui
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
global attractor  Fourier restriction norm  damping system  asymptotic compactness