刘小川 |
研究领域:数学物理;
研究方向:孤立子与非线性可积系统。2000.9-2004.6 西北大学数学系 本科
2004.9-2007.6 西北大学数学系 硕士
2007.9-2010.6 西北大学现代物理研究所 博士
2010.7-2017.4 西北大学数学学院 讲师、副教授
2017.5-2017.10 西安交通大学数学与统计学院 副教授
2017.11至今 西安交通大学数学与统计学院 教授
1. 国家自然科学基金委优秀青年科学基金项目,批准号:11722111,项目名称:非线性数学物理;
2. 西安交通大学2017年度“青年拔尖人才支持计划(A)类”。代表性论文:
1. Qu C.Z., Liu X.C., Liu Y., Stability of Peakons for an Integrable Modified Camassa-Holm Equation with Cubic Nonlinearity, Commun. Math. Phys., 322 (2013), 967-997.
2. Liu, X.C., Liu, Y, Qu, C.Z., Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation, Advances in Mathematics, 255 (2014), 1-37.
3. Liu, X.C., Liu, Y, Qu, C.Z., Stability of peakons for the Novikov equation, Journal de Mathematiques Pures et Appliquees, 101 (2014), 172-187.
4. Qu, C.Z., Zhang, Y., Liu, X.C., Liu, Y., Orbital Stability of Periodic Peakons to a Generalized mu-Camassa-Holm Equation, Arch. Rational Mech. Anal., 211 (2014), 593-617.
5. Liu, X.C., Liu, Y., Olver, P.J., Qu, C.Z., Orbital stability of peakons for a generalization of the modified Camassa-Holm equation, Nonlinearity, 27 (2014), 2297-2319.
6. Chen Robin M., Liu, X.C., Liu Y., Qu C.Z., Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system, Calculus of Variations and Partial Differential Equations, 55 (2016), Article 34.
7. Kang J., Liu X.C., Olver P.J., Qu C.Z., Liouvillecorrespondence between the modified KdV hierarchy and its dual integrable hierarchy, Journal of Nonlinear Science, 26 (2016), 141-170.
8. Kang J., Liu X.C., Olver P.J., Qu C.Z., Liouville correspondence between Integrable Hierarchies, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13 (2017), 035.