研究方向：可积系统。

主要利用黎曼-希尔伯特问题方法研究可积系统的各类性质。

科研项目：

主持国家级科研项目2项，省部级科研项目4项：

国家自然科学基金青年项目C类（2026-2028），国家自然科学基金理论物理专项（2023-2023），重庆市自然科学基金面上项目（2025-2028），中国博士后科学基金第72批面上资助（2022-2024），2023年上海市“超级博士后”激励计划，重庆市全职博士后出站留（来）渝资助项目。

论文成果：

共发表SCI论文15篇，他引百余次(数据来源WebofScience):

1. Yang, Yiling, Fan, Engui, Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background, Adv. Math., 426 (2023), Paper No. 109088, 86 pp.（高被引）;

2.  Yang, Yiling, Fan, Engui, On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions, Adv. Math., 402 (2022), Paper No. 108340, 78 pp.;

3. Taiyang Xu, Yiling Yang, Lun Zhang（字母排序）, Transient asymptotics of the modified Camassa-Holm equation, J. Lond. Math. Soc., 110 (2024), no. 2, Paper No. e12967, 67 pp.;

4. Yiling Yang, Engui Fan, Yue Liu, On the global existence for the modified Camassa-Holm equation, J. Lond. Math. Soc., 112 (2025), e70232;

5. Yiling Yang, Engui Fan, Yue Liu, Orbital stability of a soliton solution for the derivative nonlinear Schrödinger equation in the L^2 space, Math. Z. 310 (2025), no. 2, Paper No. 21;

6. Engui Fan，Gaozhan Li, Yiling Yang（字母排序）, On L2-orbital stability of Hasimoto soliton solutions for the Hirota equation on the line, J. Differential Equations, 421 (2025), 104-126;

7. Yiling Yang, Engui Fan, Soliton resolution for the short-pulse equation. J. Differential Equations, 280 (2021), 644-689；

8. Engui Fan, Gaozhan Li, Yiling Yang,（字母排序） , On the long-time asymptotics of the modified Camassa-Holm equation with step-like initial data, European J. Appl. Math., Published online;

9. Gaozhan Li Jian Xu. Yiling Yang, （字母排序）, Riemam-Hilbertproblem and solton resolution for the two-component Camassa-Hom system, to appear in Bull. Lond. ath. Soc.;

10. Eneui Fan,  Gaozhan Li, Yiling Yang（字母排序）, Riemann-Hilbert approach to the Algebro-Geometric solution of the modified Camassa-Holm equation with linear dispersion term, to  appear in Proc. Amer. Math. Soc.;

11. Yiling Yang, Engui Fan, Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with  non-vanishing asymptotic boundary conditions, Phys. D, 417 (2021), 132811；

12. Yiling Yang, Qiaoyuan Chen, Engui Fan, Long-time Asymptotic Behavior for the Derivative Schrodinger Equation with Finite Density Type Initial Data, Chinese Ann. Math. Ser. B, 43 (2022), 893-948;

13. Kai Xu, Yiling Yang, Engui Fan, On the long-time asymptotics of the Camassa-Holm equation in solitonic regions, J. Differential Equations, 380 (2024), 24-91;

14. Qiaoyuan Chen, Yiling Yang, Engui Fan, Long-time asymptotic behavior of a mixed schrödinger equation with weighted Sobolev initial data. J. Math. Phys., 62 (2021), 093507；

15. Gaozhan Li, Yiling Yang, Engui Fan, Long time asymptotic behavior for the nonlocal nonlinear Schrödinger equation with weighted Sobolev initial data, Sci. China Math, 68 (2025), 2, 379-398.