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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies
期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
作者:
Zhenya Yan
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浏览/下载:66/0
  |  
提交时间:2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy
Integrable fractional system
Anomalous dispersion relation
Inverse scattering
Riemann-Hilbert problem
Solitons
N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method
期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
作者:
Zhang, Minghe
;
Weng, Weifang
;
Yan, Zhenya
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  |  
浏览/下载:75/0
  |  
提交时间:2023/02/07
Multi-component third-fifth-order mKdV
equations
Lax pair
Riemann-Hilbert approach
Soliton solutions
Breathers
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Chen, Shuyan
;
Zhou, Zijian
;
Yan, Zhenya
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  |  
浏览/下载:65/0
  |  
提交时间:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 432, 页码: 15
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhang, Minghe
;
Zhou, Zijian
;
Yan, Zhenya
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  |  
浏览/下载:126/0
  |  
提交时间:2022/04/29
N-component NLS equation
Mixed non-zero and zero backgrounds
Semi-rational rogon-soliton solutions
Soliton-like solutions
Asymptotic analysis
Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 427, 页码: 13
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Wang, Li
;
Zhang, Minghe
;
Yan, Zhenya
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  |  
浏览/下载:157/0
  |  
提交时间:2022/04/29
n-component Hirota equation
Non-zero backgrounds
Modified Darboux transform
Multiple roots
Rational RWs and W-shaped solitons
Non-integrable deformation
The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions
期刊论文
MODERN PHYSICS LETTERS B, 2021, 卷号: 35, 期号: 32, 页码: 24
作者:
Weng, Weifang
;
Yan, Zhenya
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浏览/下载:106/0
  |  
提交时间:2022/04/02
Modified KdV hierarchy
nonzero boundary conditions
Riemann-Hilbert problem
multi-triple-pole solitons and breathers
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 42
作者:
Lyu, Maohui
;
Bokil, Vrushali A.
;
Cheng, Yingda
;
Li, Fengyan
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  |  
浏览/下载:115/0
  |  
提交时间:2022/04/02
Maxwell's equations
Kerr and Raman nonlinear effects
Linear Lorentz
Nodal discontinuous Galerkin methods
Energy stable
High dimensions
Focusing and defocusing mKdV equations with nonzero boundary conditions: Inverse scattering transforms and soliton interactions
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 410, 页码: 22
作者:
Zhang, Guoqiang
;
Yan, Zhenya
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  |  
浏览/下载:144/0
  |  
提交时间:2020/09/23
Focusing and defocusing mKdV equations
Non-zero boundary conditions
Direct and inverse scattering
Riemann-Hilbert problem
Multi-soliton solutions
Breathers
The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios
期刊论文
CHAOS SOLITONS & FRACTALS, 2019, 卷号: 122, 页码: 25-31
作者:
Yan, Zhenya
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  |  
浏览/下载:137/0
  |  
提交时间:2020/01/10
Nonlinear dispersion
NLS(n, n) equation
Multi-hump compactons
Soliton-like solutions
Stability
Interactions
The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 卷号: 474, 期号: 2215, 页码: 20
作者:
Zhang, Guoqiang
;
Yan, Zhenya
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  |  
浏览/下载:179/0
  |  
提交时间:2018/09/08
n-component nonlinear Schrodinger equations
Darboux transformation dark-bright mixed solitons
dark-bright mixed high-order solitons
wing-shaped structure of the breathers
dynamics