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Author ID: liu.yue Recent zbMATH articles by "Liu, Yue"
Published as: Liu, Yue; Liu, Y.
Homepage: https://www.uta.edu/academics/faculty/profile?username=liu
External Links: MGP · ResearchGate
all top 5

Co-Authors

16 single-authored
19 Qu, Changzheng
16 Chen, Robin Ming
15 Gui, Guilong
6 Gao, Hongjun
6 Liu, Xiaochuan
6 Mi, Yongsheng
6 Yin, Zhaoyang
5 Fu, Ying
5 Li, Ji
5 Tian, Lixin
4 Guo, Boling
4 Guo, Fei
4 Luo, Ting
4 Zhang, Pingzheng
3 Bona, Jerry Lloyd
3 Chen, Jianqing
3 Fan, Engui
3 Feng, Baofeng
3 Olver, Peter John
3 Pelinovsky, Dmitry Efimovich
3 Varlamov, Vladimir V.
3 Wu, Qiliang
3 Yang, Yiling
3 Zhang, Ying
3 Zhu, Min
2 Di, Huafei
2 Escher, Joachim
2 Fan, Lili
2 Hu, Tianqiao
2 Liu, Jun
2 Moon, Byungsoo
2 Ohta, Masahito
2 Sakovich, Anton
2 Tom, Michael Mudi
2 Wang, Xiaoping
2 Yang, Xiongfeng
2 Ye, Xiao
2 Zhang, Shuanghu
1 Chen, Geng
1 Chen, Yong
1 Chen, Yong
1 Chen, Yuexia
1 Cheng, Jipeng
1 Choudhury, Sudipto Roy
1 Fang, Ethan X.
1 Fu, Hongfei
1 Gao, Ying
1 Geyer, Anna
1 Huang, Daiwen
1 Huang, Lili
1 Hur, Vera Mikyoung
1 Ivanov, Rossen I.
1 Jiang, Huiqun
1 Lenells, Jonatan
1 Levandosky, Steve
1 Levandovsky, Steve
1 Li, Minghua
1 Li, Xinpeng
1 Lin, Zhiwu
1 Liu, Qin
1 Liu, Shen
1 Lu, Jiaquan
1 Lu, Junwei
1 Luo, Wei
1 Ma, Feiyao
1 Man, Zhongxiao
1 Mu, Chunlai
1 Nguyen, Nghiem V.
1 Pang, Jing
1 Qiao, Zhijun
1 Qiu, Zhiping
1 Shi, Qing
1 Sun, Junwei
1 Tan, Wenke
1 Todorova, Grozdena Hr.
1 Tu, Xinyu
1 Wang, Jinbiao
1 Wang, Ke
1 Wang, Zhong
1 Wei, Jize
1 Xia, Haijun
1 Xia, Yun-Jie
1 Xie, Lei
1 Xin, Baogui
1 Xu, Yan
1 Yan, Kai
1 Yan, Weibin
1 Yan, Xingjie
1 Ye, Hongyu
1 Yi, Lingzhi
1 Yu, Wenxin
1 Zhang, Bingyin
1 Zhang, Qian
1 Zhang, Yanni
1 Zhao, Zhen
1 Zheng, Xiangcheng
all top 5

Serials

15 Journal of Differential Equations
6 Communications in Mathematical Physics
6 Advances in Mathematics
6 Journal of Functional Analysis
6 IMRN. International Mathematics Research Notices
5 SIAM Journal on Mathematical Analysis
4 Indiana University Mathematics Journal
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Quarterly of Applied Mathematics
3 Transactions of the American Mathematical Society
3 Physica D
3 Journal of Nonlinear Science
3 Discrete and Continuous Dynamical Systems
3 Journal of Mathematical Fluid Mechanics
2 Archive for Rational Mechanics and Analysis
2 Nonlinearity
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Communications in Partial Differential Equations
2 Calculus of Variations and Partial Differential Equations
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Illinois Journal of Mathematics
1 International Journal for Numerical Methods in Engineering
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics and Computers in Simulation
1 Operations Research
1 Optimal Control Applications & Methods
1 Chinese Annals of Mathematics. Series A
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Numerical Methods for Partial Differential Equations
1 Annals of Operations Research
1 Differential and Integral Equations
1 Journal of Dynamics and Differential Equations
1 Applied Mathematics
1 Advances in Computational Mathematics
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Advanced Nonlinear Studies
1 Communications on Pure and Applied Analysis
1 Communications in Mathematical Sciences
1 Analysis and Applications (Singapore)
1 Dynamics of Partial Differential Equations
1 Journal of Physics A: Mathematical and Theoretical
1 International Journal of Biomathematics
1 Journal of Algorithms & Computational Technology
1 Advances in Mathematical Physics
1 Annals of PDE
1 AMM. Applied Mathematics and Mechanics. (English Edition)

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 3,361 times in 1,323 Documents Cited by Year
Global existence and blow-up phenomena for the Degasperis-Procesi equation. Zbl 1131.35074
Liu, Yue; Yin, Zhaoyang
206
2006
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system. Zbl 1189.35254
Gui, Guilong; Liu, Yue
186
2010
Global weak solutions and blow-up structure for the Degasperis-Procesi equation. Zbl 1126.35053
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
183
2006
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
174
2013
Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation. Zbl 1124.35041
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
142
2007
On the Cauchy problem for the two-component Camassa-Holm system. Zbl 1228.35092
Gui, Guilong; Liu, Yue
117
2011
Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045
Lin, Zhiwu; Liu, Yue
104
2009
On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1308.35026
Fu, Ying; Gui, Guilong; Liu, Yue; Qu, Changzheng
84
2013
On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. Zbl 1080.76016
Tian, Lixin; Gui, Guilong; Liu, Yue
83
2005
Instability and blow-up of solutions to a generalized Boussinesq equation. Zbl 0857.35103
Liu, Yue
73
1995
Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1307.35264
Qu, Changzheng; Liu, Xiaochuan; Liu, Yue
70
2013
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations. Zbl 1234.35222
Fu, Ying; Liu, Yue; Qu, Changzheng
69
2012
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
62
2004
Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion. Zbl 1310.35044
Chen, Robin Ming; Liu, Yue; Qu, Changzheng; Zhang, Shuanghu
56
2015
Instability of solitary waves for generalized Boussinesq equations. Zbl 0784.34048
Liu, Yue
55
1993
Wave breaking in the short-pulse equation. Zbl 1190.35061
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
53
2009
Stability of solitary waves and wave-breaking phenomena for the two-component Camassa-Holm system. Zbl 1231.35184
Zhang, Pingzheng; Liu, Yue
53
2010
Wave breaking and global existence for a generalized two-component Camassa-Holm system. Zbl 1225.35197
Chen, Robin Ming; Liu, Yue
51
2011
Decay and scattering of small solutions of a generalized Boussinesq equation. Zbl 0884.35129
Liu, Yue
49
1997
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
48
2014
Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation. Zbl 1288.35063
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
46
2014
Global existence and blow-up solutions for a nonlinear shallow water equation. Zbl 1102.35021
Liu, Yue
46
2006
Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons. Zbl 1207.35074
Fu, Ying; Liu, Yue; Qu, Changzheng
46
2010
Analysis on the blow-up of solutions to a class of integrable peakon equations. Zbl 1338.35067
Chen, Robin Ming; Guo, Fei; Liu, Yue; Qu, Changzheng
45
2016
Global existence and blow-up phenomena for the peakon \(b\)-family of equations. Zbl 1170.35369
Gui, Guilong; Liu, Yue; Tian, Lixin
44
2008
Stability of solitary waves and weak rotation limit for the Ostrovsky equation. Zbl 1064.35148
Liu, Yue; Varlamov, Vladimir
42
2004
On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391
Fan, Lili; Gao, Hongjun; Liu, Yue
41
2016
Stability of peakons for the Novikov equation. Zbl 1295.35065
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
40
2014
Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity. Zbl 1092.35105
Liu, Yue; Wang, Xiao-Ping; Wang, Ke
36
2006
Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
36
2010
Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238
Gui, Guilong; Liu, Yue; Luo, Ting
36
2019
Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation. Zbl 1291.35307
Qu, Changzheng; Fu, Ying; Liu, Yue
35
2014
Stability of solitary waves of a generalized Ostrovsky equation. Zbl 1123.35056
Levandosky, Steve; Liu, Yue
34
2006
Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453
Levandovsky, Steve; Liu, Yue
34
2007
On the blow-up phenomena for the Degasperis-Procesi equation. Zbl 1162.35067
Liu, Yue; Yin, Zhaoyang
34
2007
A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205
Gui, Guilong; Liu, Yue; Sun, Junwei
34
2019
On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect. Zbl 1403.35230
Chen, Robin Ming; Gui, Guilong; Liu, Yue
31
2018
On the Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1132.35077
Gui, Guilong; Liu, Yue
30
2007
On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059
Guo, Fei; Gao, Hongjun; Liu, Yue
29
2012
On the Cauchy problem for the Degasperis-Procesi equation. Zbl 1229.35243
Gui, Guilong; Liu, Yue
29
2011
Stability of the \(\mu \)-Camassa-Holm peakons. Zbl 1258.35173
Chen, Robin Ming; Lenells, Jonatan; Liu, Yue
29
2013
Strong instability of solitary-wave solutions of a generalized Boussinesq equation. Zbl 0973.35163
Liu, Yue
25
2000
Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012
Chen, Robin Ming; Liu, Yue; Qiao, Zhijun
25
2011
Existence and blow up of solutions of a nonlinear Pochhammer-Chree equation. Zbl 0883.35116
Liu, Yue
24
1996
Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation. Zbl 0879.35136
Liu, Yue; Wang, Xiao-Ping
24
1997
The Hölder continuity of the solution map to the \(b\)-family equation in weak topology. Zbl 1288.35418
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
24
2013
Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. Zbl 0949.35120
Liu, Yue
24
2001
On the stability of solitary waves for the Ostrovsky equation. Zbl 1144.35460
Liu, Yue
23
2007
Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation. Zbl 1304.35141
Qu, Changzheng; Fu, Ying; Liu, Yue
23
2014
Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013
Liu, Yue; Ohta, Masahito; Todorova, Grozdena
22
2007
Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system. Zbl 1248.35052
Moon, Byungsoo; Liu, Yue
22
2012
Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation. Zbl 1263.35187
Liu, Yue; Qu, Changzheng; Zhang, Ying
22
2013
Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 1501.35003
Chen, Geng; Chen, Robin Ming; Liu, Yue
20
2018
Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation. Zbl 1411.35072
Tu, Xinyu; Liu, Yue; Mu, Chunlai
19
2019
Wave-breaking phenomena for the nonlocal Whitham-type equations. Zbl 1350.35038
Ma, Feiyao; Liu, Yue; Qu, Changzheng
18
2016
Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions. Zbl 1061.35115
Liu, Yue
17
2002
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
17
2014
Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156
Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue
17
2017
The shallow-water models with cubic nonlinearity. Zbl 1490.35303
Chen, Robin Ming; Hu, Tianqiao; Liu, Yue
17
2022
On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132
Chen, Yong; Gao, Hongjun; Liu, Yue
15
2013
Orbital stability of periodic peakons to a generalized \(\mu\)-Camassa-Holm equation. Zbl 1287.35077
Qu, Changzheng; Zhang, Ying; Liu, Xiaochuan; Liu, Yue
14
2014
Spectral stability of smooth solitary waves for the Degasperis-Procesi equation. Zbl 1448.35377
Li, Ji; Liu, Yue; Wu, Qiliang
14
2020
An operator splitting method for the Degasperis-Procesi equation. Zbl 1175.65094
Feng, B.-F.; Liu, Y.
13
2009
The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085
Bona, Jerry L.; Liu, Yue; Tom, Michael M.
12
2002
On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation. Zbl 1252.35240
Gui, Guilong; Liu, Yue; Zhu, Min
12
2012
Qualitative analysis for the new shallow-water model with cubic nonlinearity. Zbl 1442.35351
Mi, Yongsheng; Liu, Yue; Huang, Daiwen; Guo, Boling
11
2020
On the Cauchy problem for the generalized shallow water wave equation. Zbl 1154.35074
Tian, Lixin; Gui, Guilong; Liu, Yue
10
2008
Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1156.35079
Chen, Robin Ming; Hur, Vera Mikyoung; Liu, Yue
10
2008
Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation. Zbl 1193.35173
Zhang, Pingzheng; Liu, Yue
9
2010
The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1411.35073
Mi, Yongsheng; Liu, Yue; Guo, Boling; Luo, Ting
9
2019
Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. Zbl 1130.37031
Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue
8
2007
On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152
Chen, Yong; Huang, Lili; Liu, Yue
8
2020
Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system. Zbl 1342.35072
Chen, Robin Ming; Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
7
2016
Solitary waves and fundamental solution for Ostrovsky equation. Zbl 1073.76011
Varlamov, Vladimir; Liu, Yue
7
2005
On the long-wave approximation for the Euler-Poisson system. Zbl 1457.35058
Liu, Yue; Yang, Xiongfeng
7
2020
Stability of peaked solitary waves for a class of cubic quasilinear shallow-water equations. Zbl 1512.35455
Chen, Robin Ming; Di, Huafei; Liu, Yue
7
2023
Stability of solitary waves for the modified Camassa-Holm equation. Zbl 1483.35164
Li, Ji; Liu, Yue
7
2021
Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356
Wang, Zhong; Liu, Yue
7
2022
Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1291.35276
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
6
2012
On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system. Zbl 1288.35386
Chen, Robin Ming; Liu, Yue
6
2013
Stability of solitary waves for the Ostrovsky equation. Zbl 1132.35011
Liu, Yue; Ohta, Masahito
6
2008
Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation. Zbl 1339.35092
Gui, Guilong; Liu, Yue
6
2015
Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation. Zbl 1437.35113
Zhu, Min; Liu, Yue; Mi, Yongsheng
6
2020
Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057
Di, Huafei; Li, Ji; Liu, Yue
6
2021
Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057
Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V.
5
2004
On a two dimensional nonlocal shallow-water model. Zbl 1477.35162
Gui, Guilong; Liu, Yue; Luo, Wei; Yin, Zhaoyang
5
2021
On the modeling of equatorial shallow-water waves with the Coriolis effect. Zbl 1451.35004
Hu, Tianqiao; Liu, Yue
4
2019
Wave breaking phenomena and stability of peakons for the Degasperis-Procesi equation. Zbl 1205.35046
Liu, Yue
4
2010
Solutions of the generalized rotation-modified Kadomtsev-Petviashvili equation. Zbl 1202.35218
Chen, Jianqing; Liu, Yue
4
2010
Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271
Bona, Jerry L.; Liu, Yue
3
2002
Blow up of solutions and traveling waves to the two-component \(\mu\)-Camassa-Holm system. Zbl 1316.35257
Zhang, Ying; Liu, Yue; Qu, Changzheng
3
2013
On a shallow-water model with the Coriolis effect. Zbl 1420.35251
Luo, Ting; Liu, Yue; Mi, Yongsheng; Moon, Byungsoo
3
2019
On the Cauchy problem for a class of cubic quasilinear shallow-water equations. Zbl 1496.35051
Mi, Yongsheng; Liu, Yue; Guo, Boling
3
2022
Boundary control of viscosity Degasperis-Procesi equation. Zbl 1171.35324
Tian, Lixin; Shi, Qing; Liu, Yue
2
2009
Blow-up and instability of a regularized long-wave-KP equation. Zbl 1031.35125
Liu, Yue; Tom, Michael M.
2
2003
On the global weak solution to a generalized two-component Camassa-Holm system. Zbl 1308.35060
Tan, Wenke; Liu, Yue; Yin, Zhaoyang
2
2013
Instability of standing waves to the inhomogeneous nonlinear Schrödinger equation with harmonic potential. Zbl 1180.35477
Chen, Jianqing; Liu, Yue
2
2008
On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138
Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue
2
2010
Low-regularity solutions of the periodic general Degasperis-Procesi equation. Zbl 1215.35048
Tian, Lixin; Chen, Yuexia; Liu, Yue; Gao, Ying
2
2011
Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201
Guo, Fei; Gao, Hongjun; Liu, Yue
2
2011
Stability of peaked solitary waves for a class of cubic quasilinear shallow-water equations. Zbl 1512.35455
Chen, Robin Ming; Di, Huafei; Liu, Yue
7
2023
Orbital stability of smooth solitary waves for the Degasperis-Procesi equation. Zbl 1501.35322
Li, Ji; Liu, Yue; Wu, Qiliang
2
2023
Lagrangian inference for ranking problems. Zbl 07809602
Liu, Yue; Fang, Ethan X.; Lu, Junwei
1
2023
The shallow-water models with cubic nonlinearity. Zbl 1490.35303
Chen, Robin Ming; Hu, Tianqiao; Liu, Yue
17
2022
Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356
Wang, Zhong; Liu, Yue
7
2022
On the Cauchy problem for a class of cubic quasilinear shallow-water equations. Zbl 1496.35051
Mi, Yongsheng; Liu, Yue; Guo, Boling
3
2022
The initial-value problem to the modified two-component Euler-Poincaré equations. Zbl 1492.35211
Yan, Kai; Liu, Yue
2
2022
The long-wave approximation for the Green-Naghdi system with the weak Coriolis effect. Zbl 1501.35299
Liu, Yue; Yang, Xiongfeng
1
2022
Stability of solitary waves for the modified Camassa-Holm equation. Zbl 1483.35164
Li, Ji; Liu, Yue
7
2021
Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057
Di, Huafei; Li, Ji; Liu, Yue
6
2021
On a two dimensional nonlocal shallow-water model. Zbl 1477.35162
Gui, Guilong; Liu, Yue; Luo, Wei; Yin, Zhaoyang
5
2021
Spectral stability of smooth solitary waves for the Degasperis-Procesi equation. Zbl 1448.35377
Li, Ji; Liu, Yue; Wu, Qiliang
14
2020
Qualitative analysis for the new shallow-water model with cubic nonlinearity. Zbl 1442.35351
Mi, Yongsheng; Liu, Yue; Huang, Daiwen; Guo, Boling
11
2020
On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152
Chen, Yong; Huang, Lili; Liu, Yue
8
2020
On the long-wave approximation for the Euler-Poisson system. Zbl 1457.35058
Liu, Yue; Yang, Xiongfeng
7
2020
Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation. Zbl 1437.35113
Zhu, Min; Liu, Yue; Mi, Yongsheng
6
2020
Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238
Gui, Guilong; Liu, Yue; Luo, Ting
36
2019
A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205
Gui, Guilong; Liu, Yue; Sun, Junwei
34
2019
Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation. Zbl 1411.35072
Tu, Xinyu; Liu, Yue; Mu, Chunlai
19
2019
The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1411.35073
Mi, Yongsheng; Liu, Yue; Guo, Boling; Luo, Ting
9
2019
On the modeling of equatorial shallow-water waves with the Coriolis effect. Zbl 1451.35004
Hu, Tianqiao; Liu, Yue
4
2019
On a shallow-water model with the Coriolis effect. Zbl 1420.35251
Luo, Ting; Liu, Yue; Mi, Yongsheng; Moon, Byungsoo
3
2019
On the Cauchy problem for the shallow-water model with the Coriolis effect. Zbl 1428.35390
Mi, Yongsheng; Liu, Yue; Luo, Ting; Guo, Boling
1
2019
On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect. Zbl 1403.35230
Chen, Robin Ming; Gui, Guilong; Liu, Yue
31
2018
Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 1501.35003
Chen, Geng; Chen, Robin Ming; Liu, Yue
20
2018
Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156
Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue
17
2017
Analysis on the blow-up of solutions to a class of integrable peakon equations. Zbl 1338.35067
Chen, Robin Ming; Guo, Fei; Liu, Yue; Qu, Changzheng
45
2016
On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391
Fan, Lili; Gao, Hongjun; Liu, Yue
41
2016
Wave-breaking phenomena for the nonlocal Whitham-type equations. Zbl 1350.35038
Ma, Feiyao; Liu, Yue; Qu, Changzheng
18
2016
Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system. Zbl 1342.35072
Chen, Robin Ming; Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
7
2016
Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion. Zbl 1310.35044
Chen, Robin Ming; Liu, Yue; Qu, Changzheng; Zhang, Shuanghu
56
2015
Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation. Zbl 1339.35092
Gui, Guilong; Liu, Yue
6
2015
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
48
2014
Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation. Zbl 1288.35063
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
46
2014
Stability of peakons for the Novikov equation. Zbl 1295.35065
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
40
2014
Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation. Zbl 1291.35307
Qu, Changzheng; Fu, Ying; Liu, Yue
35
2014
Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation. Zbl 1304.35141
Qu, Changzheng; Fu, Ying; Liu, Yue
23
2014
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
17
2014
Orbital stability of periodic peakons to a generalized \(\mu\)-Camassa-Holm equation. Zbl 1287.35077
Qu, Changzheng; Zhang, Ying; Liu, Xiaochuan; Liu, Yue
14
2014
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
174
2013
On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1308.35026
Fu, Ying; Gui, Guilong; Liu, Yue; Qu, Changzheng
84
2013
Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1307.35264
Qu, Changzheng; Liu, Xiaochuan; Liu, Yue
70
2013
Stability of the \(\mu \)-Camassa-Holm peakons. Zbl 1258.35173
Chen, Robin Ming; Lenells, Jonatan; Liu, Yue
29
2013
The Hölder continuity of the solution map to the \(b\)-family equation in weak topology. Zbl 1288.35418
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
24
2013
Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation. Zbl 1263.35187
Liu, Yue; Qu, Changzheng; Zhang, Ying
22
2013
On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132
Chen, Yong; Gao, Hongjun; Liu, Yue
15
2013
On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system. Zbl 1288.35386
Chen, Robin Ming; Liu, Yue
6
2013
Blow up of solutions and traveling waves to the two-component \(\mu\)-Camassa-Holm system. Zbl 1316.35257
Zhang, Ying; Liu, Yue; Qu, Changzheng
3
2013
On the global weak solution to a generalized two-component Camassa-Holm system. Zbl 1308.35060
Tan, Wenke; Liu, Yue; Yin, Zhaoyang
2
2013
On the model of the compressible hyperelastic rods and Euler equations on the circle. Zbl 1253.35111
Zhu, Min; Liu, Yue; Qu, Changzheng
1
2013
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations. Zbl 1234.35222
Fu, Ying; Liu, Yue; Qu, Changzheng
69
2012
On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059
Guo, Fei; Gao, Hongjun; Liu, Yue
29
2012
Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system. Zbl 1248.35052
Moon, Byungsoo; Liu, Yue
22
2012
On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation. Zbl 1252.35240
Gui, Guilong; Liu, Yue; Zhu, Min
12
2012
Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1291.35276
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
6
2012
On the Cauchy problem for the two-component Camassa-Holm system. Zbl 1228.35092
Gui, Guilong; Liu, Yue
117
2011
Wave breaking and global existence for a generalized two-component Camassa-Holm system. Zbl 1225.35197
Chen, Robin Ming; Liu, Yue
51
2011
On the Cauchy problem for the Degasperis-Procesi equation. Zbl 1229.35243
Gui, Guilong; Liu, Yue
29
2011
Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012
Chen, Robin Ming; Liu, Yue; Qiao, Zhijun
25
2011
Low-regularity solutions of the periodic general Degasperis-Procesi equation. Zbl 1215.35048
Tian, Lixin; Chen, Yuexia; Liu, Yue; Gao, Ying
2
2011
Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201
Guo, Fei; Gao, Hongjun; Liu, Yue
2
2011
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system. Zbl 1189.35254
Gui, Guilong; Liu, Yue
186
2010
Stability of solitary waves and wave-breaking phenomena for the two-component Camassa-Holm system. Zbl 1231.35184
Zhang, Pingzheng; Liu, Yue
53
2010
Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons. Zbl 1207.35074
Fu, Ying; Liu, Yue; Qu, Changzheng
46
2010
Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
36
2010
Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation. Zbl 1193.35173
Zhang, Pingzheng; Liu, Yue
9
2010
Wave breaking phenomena and stability of peakons for the Degasperis-Procesi equation. Zbl 1205.35046
Liu, Yue
4
2010
Solutions of the generalized rotation-modified Kadomtsev-Petviashvili equation. Zbl 1202.35218
Chen, Jianqing; Liu, Yue
4
2010
On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138
Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue
2
2010
Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045
Lin, Zhiwu; Liu, Yue
104
2009
Wave breaking in the short-pulse equation. Zbl 1190.35061
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
53
2009
An operator splitting method for the Degasperis-Procesi equation. Zbl 1175.65094
Feng, B.-F.; Liu, Y.
13
2009
Boundary control of viscosity Degasperis-Procesi equation. Zbl 1171.35324
Tian, Lixin; Shi, Qing; Liu, Yue
2
2009
On the uniform bound of solutions for the KP-type equations. Zbl 1239.35138
Chen, Jianqing; Feng, Baofeng; Liu, Yue
2
2009
Global existence and blow-up phenomena for the peakon \(b\)-family of equations. Zbl 1170.35369
Gui, Guilong; Liu, Yue; Tian, Lixin
44
2008
On the Cauchy problem for the generalized shallow water wave equation. Zbl 1154.35074
Tian, Lixin; Gui, Guilong; Liu, Yue
10
2008
Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1156.35079
Chen, Robin Ming; Hur, Vera Mikyoung; Liu, Yue
10
2008
Stability of solitary waves for the Ostrovsky equation. Zbl 1132.35011
Liu, Yue; Ohta, Masahito
6
2008
Instability of standing waves to the inhomogeneous nonlinear Schrödinger equation with harmonic potential. Zbl 1180.35477
Chen, Jianqing; Liu, Yue
2
2008
Existence of unstable standing waves for the inhomogeneous nonlinear Schrödinger equation. Zbl 1146.35084
Liu, Yue
2
2008
Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation. Zbl 1124.35041
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
142
2007
Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453
Levandovsky, Steve; Liu, Yue
34
2007
On the blow-up phenomena for the Degasperis-Procesi equation. Zbl 1162.35067
Liu, Yue; Yin, Zhaoyang
34
2007
On the Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1132.35077
Gui, Guilong; Liu, Yue
30
2007
On the stability of solitary waves for the Ostrovsky equation. Zbl 1144.35460
Liu, Yue
23
2007
Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013
Liu, Yue; Ohta, Masahito; Todorova, Grozdena
22
2007
Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. Zbl 1130.37031
Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue
8
2007
Global existence and blow-up phenomena for the Degasperis-Procesi equation. Zbl 1131.35074
Liu, Yue; Yin, Zhaoyang
206
2006
Global weak solutions and blow-up structure for the Degasperis-Procesi equation. Zbl 1126.35053
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
183
2006
Global existence and blow-up solutions for a nonlinear shallow water equation. Zbl 1102.35021
Liu, Yue
46
2006
Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity. Zbl 1092.35105
Liu, Yue; Wang, Xiao-Ping; Wang, Ke
36
2006
Stability of solitary waves of a generalized Ostrovsky equation. Zbl 1123.35056
Levandosky, Steve; Liu, Yue
34
2006
On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. Zbl 1080.76016
Tian, Lixin; Gui, Guilong; Liu, Yue
83
2005
Solitary waves and fundamental solution for Ostrovsky equation. Zbl 1073.76011
Varlamov, Vladimir; Liu, Yue
7
2005
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
62
2004
Stability of solitary waves and weak rotation limit for the Ostrovsky equation. Zbl 1064.35148
Liu, Yue; Varlamov, Vladimir
42
2004
Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057
Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V.
5
2004
Blow-up and instability of a regularized long-wave-KP equation. Zbl 1031.35125
Liu, Yue; Tom, Michael M.
2
2003
Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions. Zbl 1061.35115
Liu, Yue
17
2002
The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085
Bona, Jerry L.; Liu, Yue; Tom, Michael M.
12
2002
...and 9 more Documents
all top 5

Cited by 1,102 Authors

72 Liu, Yue
65 Yin, Zhaoyang
44 Tian, Lixin
34 Qu, Changzheng
33 Qiao, Zhijun
29 Mu, Chunlai
26 Guo, Boling
26 Zhou, Shouming
25 Lai, Shaoyong
25 Mi, Yongsheng
21 Coclite, Giuseppe Maria
21 Yan, Wei
19 Zhu, Min
18 Fu, Ying
18 Guo, Zhengguang
17 Liu, Xingxing
16 Di Ruvo, Lorenzo
16 Esfahani, Amin
16 Gao, Hongjun
16 Moon, Byungsoo
16 Wang, Ying
16 Yang, Shaojie
15 Chen, Robin Ming
15 Wu, Xinglong
14 Pelinovsky, Dmitry Efimovich
13 Gui, Guilong
13 Guo, Yunxi
13 Li, Yongsheng
12 Guo, Fei
12 Himonas, A. Alexandrou
12 Wang, Shubin
12 Yan, Kai
12 Yin, Jiuli
12 Zhang, Lei
12 Zhu, Mingxuan
11 Chen, Aiyong
11 Chen, Yong
11 Li, Jinlu
11 Liu, Xiaochuan
11 Wang, Haiquan
10 Freire, Igor Leite
10 Li, Jibin
10 Ming, Sen
9 Escher, Joachim
9 Feng, Baofeng
9 Li, Ji
9 Liu, Jingjing
9 Liu, Zhengrong
9 Luo, Ting
9 Matsuo, Takayasu
9 Wu, Yonghong
8 Chang, Xiangke
8 Dinh, Van Duong
8 Geyer, Anna
8 Hu, Qiaoyi
8 Ivanov, Rossen I.
8 Levandosky, Steven Paul
8 Shen, Chunyu
8 Varlamov, Vladimir V.
8 Xu, Tianzhou
8 Yu, Shengqi
8 Zhang, Ying
8 Zhang, Zaiyun
8 Zhou, Jiangbo
7 Anco, Stephen C.
7 Chen, Jianqing
7 Dong, Xiaofang
7 Duan, Jinqiao
7 Fan, Lili
7 Gao, Yu
7 Huang, Jianhua
7 Jiang, Zaihong
7 Li, Fengquan
7 Lv, Guangying
7 Szmigielski, Jacek
7 Wang, Ying
7 Wang, Yujuan
7 Xu, Junxiang
7 Xu, Runzhang
7 Yang, Han
7 Zhang, Shuanghu
7 Zhu, Weipeng
6 Cheng, Wenguang
6 Du, Zengji
6 Gandarias Núñez, Maria Luz
6 Guo, Yingying
6 He, Huijun
6 Jin, Liangbing
6 Kang, Jing
6 Li, Min
6 Liu, Jianguo
6 Luo, Wei
6 Novruzov, Emil B.
6 Song, Yongduan
6 Tu, Xi
6 Wang, Feng
6 Wang, Xiaohuan
6 Yan, Zhenya
6 Yong, Ls
5 Chen, Guowang
...and 1,002 more Authors
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Cited in 185 Serials

111 Journal of Differential Equations
77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
72 Journal of Mathematical Analysis and Applications
65 Journal of Mathematical Physics
62 Nonlinear Analysis. Real World Applications
48 Discrete and Continuous Dynamical Systems
47 Applicable Analysis
42 Monatshefte für Mathematik
34 Mathematical Methods in the Applied Sciences
28 Physica D
26 Boundary Value Problems
23 Applied Mathematics Letters
21 Abstract and Applied Analysis
20 Journal of Mathematical Fluid Mechanics
20 Journal of Nonlinear Mathematical Physics
19 Applied Mathematics and Computation
19 Journal of Functional Analysis
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 Chaos, Solitons and Fractals
17 SIAM Journal on Mathematical Analysis
16 Journal of Evolution Equations
15 Studies in Applied Mathematics
14 Communications in Mathematical Physics
14 Journal of Nonlinear Science
14 Communications in Nonlinear Science and Numerical Simulation
12 Physics Letters. A
12 Journal of Dynamics and Differential Equations
12 Journal of Inequalities and Applications
10 Mathematical Problems in Engineering
10 Nonlinear Dynamics
10 Journal of Physics A: Mathematical and Theoretical
10 Discrete and Continuous Dynamical Systems. Series S
9 Proceedings of the American Mathematical Society
9 Discrete and Continuous Dynamical Systems. Series B
8 Wave Motion
8 Advances in Mathematics
8 Quarterly of Applied Mathematics
8 Communications in Partial Differential Equations
8 Communications on Pure and Applied Analysis
8 Advances in Mathematical Physics
7 Archive for Rational Mechanics and Analysis
7 Nonlinearity
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 NoDEA. Nonlinear Differential Equations and Applications
6 Journal of Computational and Applied Mathematics
6 Transactions of the American Mathematical Society
6 Advances in Difference Equations
5 Mathematics and Computers in Simulation
5 Mathematische Nachrichten
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4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Acta Mathematicae Applicatae Sinica. English Series
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4 International Journal of Mathematics
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4 Journal of Applied Mathematics
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3 Letters in Mathematical Physics
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3 Memoirs of the American Mathematical Society
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3 Acta Mathematica Sinica. English Series
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Advanced Nonlinear Studies
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Milan Journal of Mathematics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Communications in Theoretical Physics
3 Journal of Applied Analysis and Computation
3 Advances in Nonlinear Analysis
3 Open Mathematics
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Rocky Mountain Journal of Mathematics
2 BIT
2 International Journal of Mathematics and Mathematical Sciences
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Chinese Annals of Mathematics. Series B
2 Acta Applicandae Mathematicae
2 Numerical Methods for Partial Differential Equations
2 Russian Journal of Mathematical Physics
2 Electronic Journal of Differential Equations (EJDE)
2 Chaos
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Stochastics and Dynamics
2 Journal of Applied Mathematics and Computing
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