Edit Profile (opens in new tab) Liu, Yue Compute Distance To: Compute Author ID: liu.yue Published as: Liu, Yue; Liu, Y. External Links: MGP Documents Indexed: 135 Publications since 1988 Co-Authors: 59 Co-Authors with 94 Joint Publications 2,204 Co-Co-Authors all top 5 Co-Authors 16 single-authored 19 Qu, Changzheng 15 Gui, Guilong 14 Chen, Robin Ming 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 Feng, Baofeng 3 Olver, Peter John 3 Varlamov, Vladimir V. 3 Wu, Qiliang 3 Zhang, Ying 3 Zhu, Min 2 Ba, Zhenning 2 Escher, Joachim 2 Fan, Lili 2 Han, Chunyan 2 Hu, Tianqiao 2 Luo, Yuanquan 2 Moon, Byungsoo 2 Ohta, Masahito 2 Pelinovsky, Dmitry Efimovich 2 Sakovich, Anton 2 Tom, Michael Mudi 2 Yang, Xiongfeng 2 Yao, Jingjing 2 Zhang, Shuanghu 1 Bian, Ke-Xin 1 Chen, Ailian 1 Chen, Geng 1 Chen, Yong 1 Chen, Yong 1 Chen, Yuexia 1 Choudhury, Sudipto Roy 1 Di, Huafei 1 Ding, Xuhui 1 Dong, Yi 1 Fan, Xun 1 Fu, Jisai 1 Gao, Ying 1 Guo, Shuxu 1 He, Jin 1 Huang, Daiwen 1 Huang, Lili 1 Hur, Vera Mikyoung 1 Ivanov, Rossen I. 1 Ji, Xiaoliang 1 Jin, Hui 1 Lenells, Jonatan 1 Levandosky, Steve 1 Levandovsky, Steve 1 Li, Kaodui 1 Li, Yu 1 Liang, Jianwen 1 Lin, Fenggen 1 Lin, Zhiwu 1 Lo, Wing-Cheong 1 Luo, Wei 1 Ma, Feiyao 1 Ma, Shuping 1 Mu, Chunlai 1 Mu, Yanping 1 Nguyen, Nghiem V. 1 Qiao, Zhijun 1 Qiu, Xiaoming 1 Ren, Changyu 1 Ruan, Dehao 1 Sang, Qiaozhi 1 Shang, Deyong 1 Shi, Qing 1 Shi, Zhiyan 1 Su, Youfeng 1 Sun, Junwei 1 Tan, Wenke 1 Tang, Ying 1 Todorova, Grozdena Hr. 1 Tu, Xinyu 1 Wang, Dan 1 Wang, Wei 1 Wang, Weibing 1 Wang, Xiaogang 1 Wang, Xiaohong 1 Wang, Zhong 1 Wu, Fuke 1 Wu, Mengtao 1 Wu, Telan 1 Xie, Zhuyun 1 Xu, Shengyuan 1 Yan, Kai 1 Yan, Shuanglun 1 Zhang, Jijian ...and 4 more Co-Authors all top 5 Serials 15 Journal of Differential Equations 7 Journal of Functional Analysis 6 Communications in Mathematical Physics 6 Advances in Mathematics 5 IMRN. International Mathematics Research Notices 5 SIAM Journal on Mathematical Analysis 4 Indiana University Mathematics Journal 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 de Mathématiques Pures et Appliquées. Neuvième Série 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 Journal of Dalian University of Technology 2 Communications in Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Problems in Engineering 2 Probability in the Engineering and Informational Sciences 2 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Automatica 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Moscow University Computational Mathematics and Cybernetics 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series A 1 Acta Automatica Sinica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Acta Physica Sinica 1 Mathematica Applicata 1 Annals of Operations Research 1 Differential and Integral Equations 1 Applied Mathematical Modelling 1 Journal of Dynamics and Differential Equations 1 Applied Mathematics 1 Advances in Differential Equations 1 Engineering Analysis with Boundary Elements 1 European Journal of Mechanics. A. Solids 1 Journal of Systems Science and Complexity 1 Advanced Nonlinear Studies 1 Journal of Jilin University. Science Edition 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 Dynamics of Partial Differential Equations 1 Annals of PDE all top 5 Fields 113 Partial differential equations (35-XX) 48 Fluid mechanics (76-XX) 21 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of deformable solids (74-XX) 6 Ordinary differential equations (34-XX) 6 Geophysics (86-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Numerical analysis (65-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 2,720 times in 1,079 Documents Cited by ▼ Year ▼ Global existence and blow-up phenomena for the Degasperis-Procesi equation. Zbl 1131.35074Liu, Yue; Yin, Zhaoyang 179 2006 Global weak solutions and blow-up structure for the Degasperis-Procesi equation. Zbl 1126.35053Escher, Joachim; Liu, Yue; Yin, Zhaoyang 167 2006 On the global existence and wave-breaking criteria for the two-component Camassa-Holm system. Zbl 1189.35254Gui, Guilong; Liu, Yue 163 2010 Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng 137 2013 Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation. Zbl 1124.35041Escher, Joachim; Liu, Yue; Yin, Zhaoyang 126 2007 On the Cauchy problem for the two-component Camassa-Holm system. Zbl 1228.35092Gui, Guilong; Liu, Yue 103 2011 Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045Lin, Zhiwu; Liu, Yue 86 2009 On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. Zbl 1080.76016Tian, Lixin; Gui, Guilong; Liu, Yue 73 2005 On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1308.35026Fu, Ying; Gui, Guilong; Liu, Yue; Qu, Changzheng 66 2013 Instability and blow-up of solutions to a generalized Boussinesq equation. Zbl 0857.35103Liu, Yue 63 1995 On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations. Zbl 1234.35222Fu, Ying; Liu, Yue; Qu, Changzheng 56 2012 Cauchy problem for the Ostrovsky equation. Zbl 1059.35035Varlamov, V.; Liu, Yue 54 2004 Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1307.35264Qu, Changzheng; Liu, Xiaochuan; Liu, Yue 50 2013 Instability of solitary waves for generalized Boussinesq equations. Zbl 0784.34048Liu, Yue 49 1993 Stability of solitary waves and wave-breaking phenomena for the two-component Camassa-Holm system. Zbl 1231.35184Zhang, Pingzheng; Liu, Yue 47 2010 Wave breaking and global existence for a generalized two-component Camassa-Holm system. Zbl 1225.35197Chen, Robin Ming; Liu, Yue 44 2011 Wave breaking in the short-pulse equation. Zbl 1190.35061Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 43 2009 Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion. Zbl 1310.35044Chen, Robin Ming; Liu, Yue; Qu, Changzheng; Zhang, Shuanghu 43 2015 Global existence and blow-up solutions for a nonlinear shallow water equation. Zbl 1102.35021Liu, Yue 43 2006 Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons. Zbl 1207.35074Fu, Ying; Liu, Yue; Qu, Changzheng 42 2010 Global existence and blow-up phenomena for the peakon \(b\)-family of equations. Zbl 1170.35369Gui, Guilong; Liu, Yue; Tian, Lixin 41 2008 Stability of solitary waves and weak rotation limit for the Ostrovsky equation. Zbl 1064.35148Liu, Yue; Varlamov, Vladimir 39 2004 Decay and scattering of small solutions of a generalized Boussinesq equation. Zbl 0884.35129Liu, Yue 39 1997 Analysis on the blow-up of solutions to a class of integrable peakon equations. Zbl 1338.35067Chen, Robin Ming; Guo, Fei; Liu, Yue; Qu, Changzheng 35 2016 On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu 35 2014 On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391Fan, Lili; Gao, Hongjun; Liu, Yue 32 2016 Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation. Zbl 1288.35063Liu, Xiaochuan; Liu, Yue; Qu, Changzheng 32 2014 Stability of solitary waves of a generalized Ostrovsky equation. Zbl 1123.35056Levandosky, Steve; Liu, Yue 30 2006 Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 30 2010 Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453Levandovsky, Steve; Liu, Yue 30 2007 Stability of peakons for the Novikov equation. Zbl 1295.35065Liu, Xiaochuan; Liu, Yue; Qu, Changzheng 29 2014 Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity. Zbl 1092.35105Liu, Yue; Wang, Xiao-Ping; Wang, Ke 29 2006 On the Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1132.35077Gui, Guilong; Liu, Yue 27 2007 Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation. Zbl 1291.35307Qu, Changzheng; Fu, Ying; Liu, Yue 26 2014 On the blow-up phenomena for the Degasperis-Procesi equation. Zbl 1162.35067Liu, Yue; Yin, Zhaoyang 26 2007 On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059Guo, Fei; Gao, Hongjun; Liu, Yue 25 2012 Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012Chen, Robin Ming; Liu, Yue; Qiao, Zhijun 24 2011 Existence and blow up of solutions of a nonlinear Pochhammer-Chree equation. Zbl 0883.35116Liu, Yue 23 1996 Strong instability of solitary-wave solutions of a generalized Boussinesq equation. Zbl 0973.35163Liu, Yue 23 2000 On the Cauchy problem for the Degasperis-Procesi equation. Zbl 1229.35243Gui, Guilong; Liu, Yue 22 2011 Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. Zbl 0949.35120Liu, Yue 22 2001 Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation. Zbl 0879.35136Liu, Yue; Wang, Xiao-Ping 22 1997 Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238Gui, Guilong; Liu, Yue; Luo, Ting 22 2019 A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205Gui, Guilong; Liu, Yue; Sun, Junwei 21 2019 The Hölder continuity of the solution map to the \(b\)-family equation in weak topology. Zbl 1288.35418Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng 20 2013 Stability of the \(\mu \)-Camassa-Holm peakons. Zbl 1258.35173Chen, Robin Ming; Lenells, Jonatan; Liu, Yue 20 2013 On the stability of solitary waves for the Ostrovsky equation. Zbl 1144.35460Liu, Yue 20 2007 Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system. Zbl 1248.35052Moon, Byungsoo; Liu, Yue 20 2012 On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect. Zbl 1403.35230Chen, Robin Ming; Gui, Guilong; Liu, Yue 20 2018 Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation. Zbl 1304.35141Qu, Changzheng; Fu, Ying; Liu, Yue 18 2014 Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation. Zbl 1263.35187Liu, Yue; Qu, Changzheng; Zhang, Ying 15 2013 Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions. Zbl 1061.35115Liu, Yue 15 2002 Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013Liu, Yue; Ohta, Masahito; Todorova, Grozdena 14 2007 Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng 13 2014 On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132Chen, Yong; Gao, Hongjun; Liu, Yue 13 2013 An operator splitting method for the Degasperis-Procesi equation. Zbl 1175.65094Feng, B.-F.; Liu, Y. 12 2009 Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation. Zbl 1411.35072Tu, Xinyu; Liu, Yue; Mu, Chunlai 12 2019 On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation. Zbl 1252.35240Gui, Guilong; Liu, Yue; Zhu, Min 10 2012 On the Cauchy problem for the generalized shallow water wave equation. Zbl 1154.35074Tian, Lixin; Gui, Guilong; Liu, Yue 10 2008 Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue 9 2017 Orbital stability of periodic peakons to a generalized \(\mu\)-Camassa-Holm equation. Zbl 1287.35077Qu, Changzheng; Zhang, Ying; Liu, Xiaochuan; Liu, Yue 8 2014 Wave-breaking phenomena for the nonlocal Whitham-type equations. Zbl 1350.35038Ma, Feiyao; Liu, Yue; Qu, Changzheng 8 2016 Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 07038013Chen, Geng; Chen, Robin Ming; Liu, Yue 8 2018 Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1156.35079Chen, Robin Ming; Hur, Vera Mikyoung; Liu, Yue 8 2008 Spectral stability of smooth solitary waves for the Degasperis-Procesi equation. Zbl 1448.35377Li, Ji; Liu, Yue; Wu, Qiliang 8 2020 Solitary waves and fundamental solution for Ostrovsky equation. Zbl 1073.76011Varlamov, Vladimir; Liu, Yue 7 2005 An internal model approach for multi-agent rendezvous and connectivity preservation with nonlinear dynamics. Zbl 1388.93006Dong, Yi; Su, Youfeng; Liu, Yue; Xu, Shengyuan 7 2018 The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1411.35073Mi, Yongsheng; Liu, Yue; Guo, Boling; Luo, Ting 7 2019 Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. Zbl 1130.37031Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue 7 2007 Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation. Zbl 1193.35173Zhang, Pingzheng; Liu, Yue 6 2010 The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085Bona, Jerry L.; Liu, Yue; Tom, Michael M. 6 2002 Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system. Zbl 1342.35072Chen, Robin Ming; Liu, Xiaochuan; Liu, Yue; Qu, Changzheng 5 2016 On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system. Zbl 1288.35386Chen, Robin Ming; Liu, Yue 5 2013 Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1291.35276Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng 5 2012 Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V. 5 2004 Qualitative analysis for the new shallow-water model with cubic nonlinearity. Zbl 1442.35351Mi, Yongsheng; Liu, Yue; Huang, Daiwen; Guo, Boling 5 2020 Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation. Zbl 1339.35092Gui, Guilong; Liu, Yue 4 2015 Wave breaking phenomena and stability of peakons for the Degasperis-Procesi equation. Zbl 1205.35046Liu, Yue 4 2010 Solutions of the generalized rotation-modified Kadomtsev-Petviashvili equation. Zbl 1202.35218Chen, Jianqing; Liu, Yue 4 2010 Stability of solitary waves for the Ostrovsky equation. Zbl 1132.35011Liu, Yue; Ohta, Masahito 4 2008 Blow up of solutions and traveling waves to the two-component \(\mu\)-Camassa-Holm system. Zbl 1316.35257Zhang, Ying; Liu, Yue; Qu, Changzheng 3 2013 Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation. Zbl 1437.35113Zhu, Min; Liu, Yue; Mi, Yongsheng 3 2020 On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152Chen, Yong; Huang, Lili; Liu, Yue 3 2020 Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271Bona, Jerry L.; Liu, Yue 3 2002 Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356Wang, Zhong; Liu, Yue 3 2022 The shallow-water models with cubic nonlinearity. Zbl 1490.35303Chen, Robin Ming; Hu, Tianqiao; Liu, Yue 3 2022 On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue 2 2010 Instability of standing waves to the inhomogeneous nonlinear Schrödinger equation with harmonic potential. Zbl 1180.35477Chen, Jianqing; Liu, Yue 2 2008 On the global weak solution to a generalized two-component Camassa-Holm system. Zbl 1308.35060Tan, Wenke; Liu, Yue; Yin, Zhaoyang 2 2013 On the uniform bound of solutions for the KP-type equations. Zbl 1239.35138Chen, Jianqing; Feng, Baofeng; Liu, Yue 2 2009 Boundary control of viscosity Degasperis-Procesi equation. Zbl 1171.35324Tian, Lixin; Shi, Qing; Liu, Yue 2 2009 Low-regularity solutions of the periodic general Degasperis-Procesi equation. Zbl 1215.35048Tian, 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 1228.35201Guo, Fei; Gao, Hongjun; Liu, Yue 2 2011 On a shallow-water model with the Coriolis effect. Zbl 1420.35251Luo, Ting; Liu, Yue; Mi, Yongsheng; Moon, Byungsoo 2 2019 Modeling thin structures incorporated with surface effects by using layered shell elements. Zbl 1406.74636Liu, Yue; Ji, Xiaoliang; Wang, Dan; He, Jin 2 2019 Blow-up and instability of a regularized long-wave-KP equation. Zbl 1031.35125Liu, Yue; Tom, Michael M. 2 2003 Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057Di, Huafei; Li, Ji; Liu, Yue 2 2021 On the long-wave approximation for the Euler-Poisson system. Zbl 1457.35058Liu, Yue; Yang, Xiongfeng 2 2020 Synchronization of different structures for generalized translational chaotic systems. Zbl 1399.93129Liu, Yue; Chen, Ying; Guo, Shuxu 1 2017 On the model of the compressible hyperelastic rods and Euler equations on the circle. Zbl 1253.35111Zhu, Min; Liu, Yue; Qu, Changzheng 1 2013 Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356Wang, Zhong; Liu, Yue 3 2022 The shallow-water models with cubic nonlinearity. Zbl 1490.35303Chen, Robin Ming; Hu, Tianqiao; Liu, Yue 3 2022 Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057Di, Huafei; Li, Ji; Liu, Yue 2 2021 Stability of solitary waves for the modified Camassa-Holm equation. Zbl 1483.35164Li, Ji; Liu, Yue 1 2021 On a two dimensional nonlocal shallow-water model. Zbl 1477.35162Gui, Guilong; Liu, Yue; Luo, Wei; Yin, Zhaoyang 1 2021 Spectral stability of smooth solitary waves for the Degasperis-Procesi equation. Zbl 1448.35377Li, Ji; Liu, Yue; Wu, Qiliang 8 2020 Qualitative analysis for the new shallow-water model with cubic nonlinearity. Zbl 1442.35351Mi, Yongsheng; Liu, Yue; Huang, Daiwen; Guo, Boling 5 2020 Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation. Zbl 1437.35113Zhu, Min; Liu, Yue; Mi, Yongsheng 3 2020 On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152Chen, Yong; Huang, Lili; Liu, Yue 3 2020 On the long-wave approximation for the Euler-Poisson system. Zbl 1457.35058Liu, Yue; Yang, Xiongfeng 2 2020 Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238Gui, Guilong; Liu, Yue; Luo, Ting 22 2019 A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205Gui, Guilong; Liu, Yue; Sun, Junwei 21 2019 Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation. Zbl 1411.35072Tu, Xinyu; Liu, Yue; Mu, Chunlai 12 2019 The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1411.35073Mi, Yongsheng; Liu, Yue; Guo, Boling; Luo, Ting 7 2019 On a shallow-water model with the Coriolis effect. Zbl 1420.35251Luo, Ting; Liu, Yue; Mi, Yongsheng; Moon, Byungsoo 2 2019 Modeling thin structures incorporated with surface effects by using layered shell elements. Zbl 1406.74636Liu, Yue; Ji, Xiaoliang; Wang, Dan; He, Jin 2 2019 On the Cauchy problem for the shallow-water model with the Coriolis effect. Zbl 1428.35390Mi, Yongsheng; Liu, Yue; Luo, Ting; Guo, Boling 1 2019 On the modeling of equatorial shallow-water waves with the Coriolis effect. Zbl 1451.35004Hu, Tianqiao; Liu, Yue 1 2019 On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect. Zbl 1403.35230Chen, Robin Ming; Gui, Guilong; Liu, Yue 20 2018 Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 07038013Chen, Geng; Chen, Robin Ming; Liu, Yue 8 2018 An internal model approach for multi-agent rendezvous and connectivity preservation with nonlinear dynamics. Zbl 1388.93006Dong, Yi; Su, Youfeng; Liu, Yue; Xu, Shengyuan 7 2018 Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue 9 2017 Synchronization of different structures for generalized translational chaotic systems. Zbl 1399.93129Liu, Yue; Chen, Ying; Guo, Shuxu 1 2017 Analysis on the blow-up of solutions to a class of integrable peakon equations. Zbl 1338.35067Chen, Robin Ming; Guo, Fei; Liu, Yue; Qu, Changzheng 35 2016 On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391Fan, Lili; Gao, Hongjun; Liu, Yue 32 2016 Wave-breaking phenomena for the nonlocal Whitham-type equations. Zbl 1350.35038Ma, Feiyao; Liu, Yue; Qu, Changzheng 8 2016 Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system. Zbl 1342.35072Chen, Robin Ming; Liu, Xiaochuan; Liu, Yue; Qu, Changzheng 5 2016 Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion. Zbl 1310.35044Chen, Robin Ming; Liu, Yue; Qu, Changzheng; Zhang, Shuanghu 43 2015 Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation. Zbl 1339.35092Gui, Guilong; Liu, Yue 4 2015 On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu 35 2014 Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation. Zbl 1288.35063Liu, Xiaochuan; Liu, Yue; Qu, Changzheng 32 2014 Stability of peakons for the Novikov equation. Zbl 1295.35065Liu, Xiaochuan; Liu, Yue; Qu, Changzheng 29 2014 Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation. Zbl 1291.35307Qu, Changzheng; Fu, Ying; Liu, Yue 26 2014 Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation. Zbl 1304.35141Qu, Changzheng; Fu, Ying; Liu, Yue 18 2014 Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng 13 2014 Orbital stability of periodic peakons to a generalized \(\mu\)-Camassa-Holm equation. Zbl 1287.35077Qu, Changzheng; Zhang, Ying; Liu, Xiaochuan; Liu, Yue 8 2014 Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng 137 2013 On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1308.35026Fu, Ying; Gui, Guilong; Liu, Yue; Qu, Changzheng 66 2013 Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1307.35264Qu, Changzheng; Liu, Xiaochuan; Liu, Yue 50 2013 The Hölder continuity of the solution map to the \(b\)-family equation in weak topology. Zbl 1288.35418Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng 20 2013 Stability of the \(\mu \)-Camassa-Holm peakons. Zbl 1258.35173Chen, Robin Ming; Lenells, Jonatan; Liu, Yue 20 2013 Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation. Zbl 1263.35187Liu, Yue; Qu, Changzheng; Zhang, Ying 15 2013 On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132Chen, Yong; Gao, Hongjun; Liu, Yue 13 2013 On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system. Zbl 1288.35386Chen, Robin Ming; Liu, Yue 5 2013 Blow up of solutions and traveling waves to the two-component \(\mu\)-Camassa-Holm system. Zbl 1316.35257Zhang, Ying; Liu, Yue; Qu, Changzheng 3 2013 On the global weak solution to a generalized two-component Camassa-Holm system. Zbl 1308.35060Tan, Wenke; Liu, Yue; Yin, Zhaoyang 2 2013 On the model of the compressible hyperelastic rods and Euler equations on the circle. Zbl 1253.35111Zhu, Min; Liu, Yue; Qu, Changzheng 1 2013 On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations. Zbl 1234.35222Fu, Ying; Liu, Yue; Qu, Changzheng 56 2012 On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059Guo, Fei; Gao, Hongjun; Liu, Yue 25 2012 Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system. Zbl 1248.35052Moon, Byungsoo; Liu, Yue 20 2012 On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation. Zbl 1252.35240Gui, Guilong; Liu, Yue; Zhu, Min 10 2012 Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1291.35276Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng 5 2012 On the Cauchy problem for the two-component Camassa-Holm system. Zbl 1228.35092Gui, Guilong; Liu, Yue 103 2011 Wave breaking and global existence for a generalized two-component Camassa-Holm system. Zbl 1225.35197Chen, Robin Ming; Liu, Yue 44 2011 Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012Chen, Robin Ming; Liu, Yue; Qiao, Zhijun 24 2011 On the Cauchy problem for the Degasperis-Procesi equation. Zbl 1229.35243Gui, Guilong; Liu, Yue 22 2011 Low-regularity solutions of the periodic general Degasperis-Procesi equation. Zbl 1215.35048Tian, 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 1228.35201Guo, Fei; Gao, Hongjun; Liu, Yue 2 2011 On the global existence and wave-breaking criteria for the two-component Camassa-Holm system. Zbl 1189.35254Gui, Guilong; Liu, Yue 163 2010 Stability of solitary waves and wave-breaking phenomena for the two-component Camassa-Holm system. Zbl 1231.35184Zhang, Pingzheng; Liu, Yue 47 2010 Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons. Zbl 1207.35074Fu, Ying; Liu, Yue; Qu, Changzheng 42 2010 Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 30 2010 Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation. Zbl 1193.35173Zhang, Pingzheng; Liu, Yue 6 2010 Wave breaking phenomena and stability of peakons for the Degasperis-Procesi equation. Zbl 1205.35046Liu, Yue 4 2010 Solutions of the generalized rotation-modified Kadomtsev-Petviashvili equation. Zbl 1202.35218Chen, Jianqing; Liu, Yue 4 2010 On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue 2 2010 Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045Lin, Zhiwu; Liu, Yue 86 2009 Wave breaking in the short-pulse equation. Zbl 1190.35061Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 43 2009 An operator splitting method for the Degasperis-Procesi equation. Zbl 1175.65094Feng, B.-F.; Liu, Y. 12 2009 On the uniform bound of solutions for the KP-type equations. Zbl 1239.35138Chen, Jianqing; Feng, Baofeng; Liu, Yue 2 2009 Boundary control of viscosity Degasperis-Procesi equation. Zbl 1171.35324Tian, Lixin; Shi, Qing; Liu, Yue 2 2009 Global existence and blow-up phenomena for the peakon \(b\)-family of equations. Zbl 1170.35369Gui, Guilong; Liu, Yue; Tian, Lixin 41 2008 On the Cauchy problem for the generalized shallow water wave equation. Zbl 1154.35074Tian, Lixin; Gui, Guilong; Liu, Yue 10 2008 Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1156.35079Chen, Robin Ming; Hur, Vera Mikyoung; Liu, Yue 8 2008 Stability of solitary waves for the Ostrovsky equation. Zbl 1132.35011Liu, Yue; Ohta, Masahito 4 2008 Instability of standing waves to the inhomogeneous nonlinear Schrödinger equation with harmonic potential. Zbl 1180.35477Chen, Jianqing; Liu, Yue 2 2008 Existence of unstable standing waves for the inhomogeneous nonlinear Schrödinger equation. Zbl 1146.35084Liu, Yue 1 2008 Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation. Zbl 1124.35041Escher, Joachim; Liu, Yue; Yin, Zhaoyang 126 2007 Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453Levandovsky, Steve; Liu, Yue 30 2007 On the Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1132.35077Gui, Guilong; Liu, Yue 27 2007 On the blow-up phenomena for the Degasperis-Procesi equation. Zbl 1162.35067Liu, Yue; Yin, Zhaoyang 26 2007 On the stability of solitary waves for the Ostrovsky equation. Zbl 1144.35460Liu, Yue 20 2007 Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013Liu, Yue; Ohta, Masahito; Todorova, Grozdena 14 2007 Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. Zbl 1130.37031Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue 7 2007 Global existence and blow-up phenomena for the Degasperis-Procesi equation. Zbl 1131.35074Liu, Yue; Yin, Zhaoyang 179 2006 Global weak solutions and blow-up structure for the Degasperis-Procesi equation. Zbl 1126.35053Escher, Joachim; Liu, Yue; Yin, Zhaoyang 167 2006 Global existence and blow-up solutions for a nonlinear shallow water equation. Zbl 1102.35021Liu, Yue 43 2006 Stability of solitary waves of a generalized Ostrovsky equation. Zbl 1123.35056Levandosky, Steve; Liu, Yue 30 2006 Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity. Zbl 1092.35105Liu, Yue; Wang, Xiao-Ping; Wang, Ke 29 2006 On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. Zbl 1080.76016Tian, Lixin; Gui, Guilong; Liu, Yue 73 2005 Solitary waves and fundamental solution for Ostrovsky equation. Zbl 1073.76011Varlamov, Vladimir; Liu, Yue 7 2005 Cauchy problem for the Ostrovsky equation. Zbl 1059.35035Varlamov, V.; Liu, Yue 54 2004 Stability of solitary waves and weak rotation limit for the Ostrovsky equation. Zbl 1064.35148Liu, Yue; Varlamov, Vladimir 39 2004 Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V. 5 2004 Blow-up and instability of a regularized long-wave-KP equation. Zbl 1031.35125Liu, Yue; Tom, Michael M. 2 2003 Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions. Zbl 1061.35115Liu, Yue 15 2002 The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085Bona, Jerry L.; Liu, Yue; Tom, Michael M. 6 2002 Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271Bona, Jerry L.; Liu, Yue 3 2002 Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. Zbl 0949.35120Liu, Yue 22 2001 Strong instability of solitary-wave solutions of a generalized Boussinesq equation. Zbl 0973.35163Liu, Yue 23 2000 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 894 Authors 70 Liu, Yue 61 Yin, Zhaoyang 39 Tian, Lixin 32 Qu, Changzheng 28 Mu, Chunlai 26 Qiao, Zhijun 24 Mi, Yongsheng 22 Lai, Shaoyong 21 Guo, Boling 21 Zhou, Shouming 20 Yan, Wei 18 Coclite, Giuseppe Maria 18 Guo, Zhengguang 15 Chen, Robin Ming 15 Liu, Xingxing 15 Moon, Byungsoo 15 Zhu, Min 14 Fu, Ying 13 Di Ruvo, Lorenzo 13 Gao, Hongjun 13 Gui, Guilong 13 Li, Yongsheng 13 Wu, Xinglong 12 Esfahani, Amin 12 Guo, Fei 12 Guo, Yunxi 12 Himonas, A. Alexandrou 12 Pelinovsky, Dmitry Efimovich 12 Yang, Shaojie 11 Wang, Shubin 11 Yan, Kai 11 Zhang, Lei 10 Liu, Xiaochuan 10 Zhu, Mingxuan 9 Chen, Jianqing 9 Ming, Sen 9 Wu, Yonghong 9 Yin, Jiuli 8 Chen, Aiyong 8 Hu, Qiaoyi 8 Ivanov, Rossen I. 8 Li, Ji 8 Liu, Jingjing 8 Liu, Zhengrong 8 Matsuo, Takayasu 8 Shen, Chunyu 8 Varlamov, Vladimir V. 8 Xu, Tianzhou 8 Yu, Shengqi 7 Chang, Xiangke 7 Escher, Joachim 7 Fan, Lili 7 Feng, Baofeng 7 Huang, Jianhua 7 Li, Fengquan 7 Li, Jinlu 7 Luo, Ting 7 Lv, Guangying 7 Wang, Ying 7 Wang, Yujuan 7 Yang, Han 7 Zhang, Shuanghu 7 Zhang, Zaiyun 7 Zhou, Jiangbo 6 Anco, Stephen C. 6 Geyer, Anna 6 He, Huijun 6 Jin, Liangbing 6 Levandosky, Steven Paul 6 Li, Jibin 6 Liu, Jianguo 6 Luo, Wei 6 Song, Yongduan 6 Szmigielski, Jacek 6 Wang, Feng 6 Wang, Xiaohuan 6 Xu, Junxiang 6 Xu, Runzhang 6 Yong, Ls 6 Zhang, Ying 5 Chen, Guowang 5 Chen, Yong 5 Dinh, Van Duong 5 Dong, Xiaofang 5 Du, Zengji 5 Duan, Jinqiao 5 Fan, Engui 5 Gandarias Núñez, Maria Luz 5 Gao, Yu 5 Grunert, Katrin 5 Guo, Yingying 5 Han, Xuanxuan 5 Holliman, Curtis 5 Jiang, Zaihong 5 Kang, Jing 5 Le Coz, Stefan 5 Li, Min 5 Liu, Bin 5 Novruzov, Emil B. 5 Olver, Peter John ...and 794 more Authors all top 5 Cited in 165 Serials 88 Journal of Differential Equations 75 Nonlinear Analysis. 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