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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
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Hirota equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers  Rogue waves  
Mixed Schemes for Fourth-Order DIV Equations 期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 卷号: 19, 期号: 2, 页码: 341-357
Authors:  Fan, Ronghong;  Liu, Yanru;  Zhang, Shuo
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Fourth-Order DIV Equation  Mixed Scheme  Regularity Analysis  Finite Element Method  
A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 348, 页码: 246-260
Authors:  Zhang, Wensheng
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3D  Elastic wave equation  LOD  Fourth-order accuracy  Splitting  
Optimal lower bound for the first eigenvalue of fourth order measure differential equation 期刊论文
Boundary Value Problems, 2018, 卷号: 2018, 期号: 1
Authors:  Lijuan,Zhou;  Gang,Meng
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Eigenvalue  Fourth order equation  Minimization problem  Optimal lower bound  
A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 8, 期号: 4, 页码: 764-781
Authors:  Arshad, Sadia;  Baleanu, Dumitru;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
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Fractional diffusion equation  Riesz derivative  high-order approximation  stability  convergence  
High energy solutions of modified quasilinear fourth-order elliptic equation 期刊论文
Boundary Value Problems, 2018, 卷号: 2018, 期号: 1
Authors:  Wang,Xiujuan;  Mao,Anmin;  Qian,Aixia
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Super-quadratic  High energy solutions  Sign-changing potential  Fountain theorem  35J25  35J20  35J60  35J61  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
Authors:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
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Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 311, 页码: 130-147
Authors:  Zhang, Wensheng;  Jiang, Jiangjun
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3D  Acoustic wave equation  LOD  Fourth-order accuracy  Stability  Compact  
Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation 期刊论文
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2016, 卷号: 28, 期号: 3, 页码: 28
Authors:  Wen, Ruili;  Chai, Shugen;  Guo, Bao-Zhu
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Fourth-order Schrodinger equation  Well-posedness  Exact controllability  Boundary control and observation