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Duality of positive and negative integrable hierarchies via relativistically invariant fields 期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 期号: 7, 页码: 22
Authors:  Lou, S. Y.;  Hu, X. B.;  Liu, Q. P.
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Integrable Hierarchies  Integrable Field Theories  Space-Time Symmetries  
GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 卷号: 40, 期号: 3, 页码: 1283-1307
Authors:  Kishimoto, Nobu;  Shan, Minjie;  Tsutsumi, Yoshio
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Kadomtsev-Petviashvili II equation  global well-posedness  global attractor  I-method  A-priori estimate  
A numerical study of the 3-periodic wave solutions to KdV-type equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 566-581
Authors:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
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KdV-type equation  3-periodic wave solution  Riemann's theta-function  Gauss-Newton method  
Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 9, 页码: 5696-5726
Authors:  Guo, Boling;  Huo, Zhaohui;  Fang, Shaomei
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Well-posedness  Fifth order Kadomtsev-Petviashvili-I equation  Dyadic X-s,X-b spaces  
Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 43, 页码: 311-329
Authors:  Wen, Xiao-Yong;  Yan, Zhenya
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(2+1)-Dimensional KP equation  Generalized perturbation Darboux transformation  Rational solitons  Rogue waves  
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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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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Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation 期刊论文
CHINESE PHYSICS B, 2010, 卷号: 19, 期号: 2, 页码: 8
Authors:  Zhang Huan-Ping;  Li Biao;  Chen Yong;  Huang Fei
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baroclinic potential vorticity equation  generalized Kadomtsev-Petviashvili equation  symmetry groups  approximate solution  
Negative semi-discrete KP and BKP hierarchies via nonlocal symmetries 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 卷号: 42, 期号: 45, 页码: 12
Authors:  Tian, Kai;  Hu, Xing-Biao
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Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 卷号: 80, 期号: 1, 页码: 184-191
Authors:  Yu, Guo-Fu;  Hu, Xing-Biao
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Solitons  Pfaffian  Grammian determinant  Kadomtsev-Petviashvili equation