Vita

1. B.Sc., Inner Mongolia University, 2007-2011

2. Ph.D., Academy of Mathematics and Systems Science, CAS, 2011-2016, Supervisor: Prof. Xingbiao Hu

3. Postdoc, Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany,  2016-2018 Supervisor: Prof.Folkert Müller-Hoissen

4. Lecturer, Beijing University of Technology, since 2018

Research Areas

1. Integrable systems and orthogonal polynomials;

2. Integrable systems and convergence acceleration algorithm. Integrable systems frequently appear as approximations or specializations of physical models. They come along with solution-generating techniques that provide us with exact solutions of these nonlinear partial differential or difference equations. Moreover, integrable systems exhibit deep connections with various areas of mathematics. Amongst the present research projects concern the interdisciplinary studies of integrable systems and orthogonal polynomials as well as convergence acceleration algorithm. We approach the problem from both perspectives, by using an integrable structure to relate different classes of orthogonal polynomials and convergence acceleration algorithm, and by looking for integrable structures in the latter.

Publications

1. X.M.Chen, X.K.Chang, Y.He, X.B.Hu. Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm.Numerical Algorithms, 2022, 1-44.

2. X.M.Chen, X.B.Hu, F.Müller-Hoissen. Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants.Nonlinearity, 2018, 31, 4393-4422.

3.  X.M.Chen, X.K.Chang, J.Q.Sun, X.B.Hu and Y.N.Yeh. Three semi-discrete  integrable systems related to orthogonal polynomials and their generalized determinant solutions. Nonlinearity, 2015, 28(7), 2279.

4. X.K.Chang, X.M.Chen and X.B.Hu. A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions.Advances in Mathematics, 2014, 263, 154-177.

5. X.K.Chang, X.M.Chen, X.B.Hu and H.W.Tam. About several classes of bi-orthogonal polynomials and discrete integrable systems. Journal of Physics A: Mathematical and Theoretical, 2015, 48(1), 015204.

6. A.Dimakis, F.Müller-Hoissen, X.M.Chen. Matrix Boussinesq solitons and their tropical limit.Physica Scripta, 2019, 94(3), 1-15.

7. X.M. Chen, X.K.Chang, S.H. Li, B.Wang. A brief review of interdisciplinary studies related to integrable systems and orthogonal polynomials. Advances in Mathematics (China), 50(5), 666-688. (In Chinese)

Personal Statement

Dr. Chen Xiaomin is a Lecturer and Master Student Supervisor, delivering module on Higher Mathematics. She has presided one National Natural Science Foundation of China project and one Beijing Municipal Natural Science Foundation project.