Ill-posedness of the Camassa–Holm and related equations in the critical space Z Guo, X Liu, L Molinet, Z Yin Journal of Differential Equations 266 (2-3), 1698-1707, 2019 | 104 | 2019 |

Local well-posedness and stability of peakons for a generalized Dullin–Gottwald–Holm equation X Liu, Z Yin Nonlinear Analysis: Theory, Methods & Applications 74 (7), 2497-2507, 2011 | 38 | 2011 |

Stability of peakons for the generalized modified Camassa–Holm equation Z Guo, X Liu, X Liu, C Qu Journal of Differential equations 266 (12), 7749-7779, 2019 | 37 | 2019 |

Local well-posedness and stability of solitary waves for the two-component Dullin–Gottwald–Holm system X Liu, Z Yin Nonlinear Analysis: Theory, Methods & Applications 88, 1-15, 2013 | 19 | 2013 |

ORBITAL STABILITY OF PEAKONS FOR A MODIFIED CAMASSA-HOLM EQUATION WITH HIGHER-ORDER NONLINEARITY. X Liu Discrete & Continuous Dynamical Systems: Series A 38 (11), 2018 | 17 | 2018 |

On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity X Liu, Z Qiao, Z Yin arXiv preprint arXiv:1304.2577, 2013 | 13 | 2013 |

On the low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude X Liu, J Liu Nonlinear Analysis: Theory, Methods & Applications 107, 1-11, 2014 | 12 | 2014 |

Orbital stability of the sum of N peakons for the Dullin–Gottwald–Holm equation X Liu, Z Yin Nonlinear Analysis: Real World Applications 13 (5), 2414-2422, 2012 | 12 | 2012 |

Stability in the energy space of the sum of N peakons for a modified Camassa-Holm equation with higher-order nonlinearity X Liu Journal of Mathematical Physics 59 (12), 2018 | 9 | 2018 |

Stability of the train of N solitary waves for the two-component Camassa–Holm shallow water system X Liu Journal of Differential Equations 260 (12), 8403-8427, 2016 | 7 | 2016 |

A highly nonlinear shallow-water model arising from the full water waves with the Coriolis effect M Li, X Liu, Y Liu Journal of Mathematical Fluid Mechanics 25 (2), 39, 2023 | 5 | 2023 |

On the solutions of the cross-coupled Camassa–Holm system X Liu Nonlinear Analysis: Real World Applications 23, 183-195, 2015 | 5 | 2015 |

On the periodic Cauchy problem for a coupled Camassa–Holm system with peakons X Liu Zeitschrift für angewandte Mathematik und Physik 67, 1-14, 2016 | 4 | 2016 |

On the low regularity solutions for a modified two-component Camassa–Holm shallow water system X Liu, Z Yin Glasgow Mathematical Journal 53 (3), 611-621, 2011 | 3 | 2011 |

The periodic Cauchy problem for a combined CH–mCH integrable equation X Liu Nonlinear Analysis: Theory, Methods & Applications 143, 138-154, 2016 | 2 | 2016 |

Wave breaking phenomena for the generalized hyperelastic rod wave equation M Li, X Liu, Y Liu Journal of Differential Equations 388, 439-459, 2024 | 1 | 2024 |

A new highly nonlinear equation modelling shallow-water waves with constant vorticity Y Liu, X Liu, M Li arXiv preprint arXiv:2401.08201, 2024 | 1 | 2024 |

STABILITY IN THE ENERGY SPACE OF THE SUM OF N SOLITARY WAVES FOR AN EQUATION MODELLING SHALLOW WATER WAVES OF MODERATE AMPLITUDE. X Liu Discrete & Continuous Dynamical Systems-Series B 28 (2), 2023 | 1 | 2023 |

Orbital stability of the sum of N solitary waves for the hyperelastic-rod wave equation X Liu Journal of Mathematical Physics 56 (7), 2015 | 1 | 2015 |

Local well-posedness of a coupled Camassa-Holm system in critical spaces X Liu Zeitschrift für Analysis und ihre Anwendungen 34 (1), 43-59, 2015 | 1 | 2015 |