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Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
Authors:  Hu, Xingbiao;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
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mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation 期刊论文
Journal of Physics A: Mathematical and Theoretical, 2020, 卷号: 53, 期号: 39
Authors:  Hu,Xingbiao;  Pan,Yan;  Sun,Jianqing;  Wang,Hui;  Zhang,Yingnan
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mKdV–sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
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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Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method 期刊论文
NUMERICAL ALGORITHMS, 2015, 卷号: 69, 期号: 4, 页码: 839-862
Authors:  Zhang, Y.;  Hu, X. B.;  Tam, H. W.
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NLS equation  Integrable discretization  Infinite conservation quantities  Fourier pseudo-spectral method  
Integrable discretization of soliton equations via bilinear method and B¨acklund transformation 期刊论文
中国科学:数学(英文版), 2015, 页码: 279-296
Authors:  Zhang YingNan;  Chang XiangKe;  Hu Juan;  Hu XingBiao;  Tam HonWah
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Explicit Symplectic Methods for the Nonlinear Schrodinger Equation 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 6, 期号: 3, 页码: 639-654
Authors:  Guan, Hua;  Jiao, Yandong;  Liu, Ju;  Tang, Yifa
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Explicit symplectic method  L-L-N splitting  nonlinear Schrodinger equation  
Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice 期刊论文
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 卷号: 15, 期号: 3, 页码: 233-252
Authors:  Hu, Xing-Biao;  Yu, Guo-Fu
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integrable system  integrable discretization  Backlund transformation  Lax pair  
On the integrable discrete versions of the Leznov lattice: Determinant solutions and pfaffianization 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 卷号: 335, 期号: 1, 页码: 377-388
Authors:  Yu, Guo-Fu;  Tam, Hon-Wah;  Hu, Xing-Biao
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Casorati solution  pfaffianization  discrete Leznov lattice