任博

    教授，博士生导师，主要从事非线性可积系统和超标准模型理论的研究，主持国家自然科学基金3项(面上2项、青年1项)，浙江省自然科学基金1项。已在Phys. Rev. D, Phys. Lett. B, Phys. Rev. E, J. Math. Phys., J. High Ener. Phys.等SCI收录的杂志上发表110余篇学术论文，论文总引用1700余次。其中1篇论文入选2012年中国百篇最具影响国际学术论文，1篇论文被国际知名科学/科技新闻杂志《New Scientist》刊登文章报道，1篇论文入选ESI热点论文，3篇论文入选ESI高被引论文，2篇论文获绍兴市自然科学优秀论文一等奖，1篇论文获绍兴市自然科学优秀论文二等奖。入选2019年度绍兴市优秀科技工作者先进典型，2020年度绍兴市青年科技英才。2020-2025年连续六年入选全球前2%顶尖科学家榜单。

      欢迎有志于从事应用数学研究的学生报考硕士和博士研究生！硕士，博士阶段可以从事基础研究，相关应用研究，数值计算和机器学习等方向的研究工作。

主持项目：

1. 非线性光学系统的局域波及其激发机制等应用研究，国家自然科学面上基金 2027.01-2030.12 主持

2. 非线性可积系统的非局域对称及其应用，国家自然科学面上基金  2018.01-2021.12 主持.

3. 超对称可积系统的可积性及其解的构造，国家自然科学青年基金 2014.01-2016.12 主持.

4. 超对称可积系统：玻色化与精确解，浙江省自然科学青年基金 2013.01-2015.12 主持.

部分发表论文：

1. Hai-Fang Song, Ji Lin*, Bo Ren*, Diverse rogue waves and their predictions in the space shifted nonlocal Zakharov equation. Nucl. Phys. B 1029 (2026) 117594.

2. Shi-Yu Fu, Xin-Jie Zhu, Bo Ren*, Transition states and modulational instability in the coupled Gerdjikov-Ivanov equation. Phys. Lett. A 592 (2026) 132004.

3. Haifang Song, Bo Ren*, General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses. Chaos 35(2025)033121.

4. Haifang Song, Songlin Zhao, Bo Ren*, General rogue waves, breathers and hybrid structures of the coupled Boussinesq system. Wave Motion 140 (2026) 103647.

5. Zhao Zhao, Bo Ren*, PINNs with hybrid residual-driven adaptive sampling and weighted loss for the (2+1)-dimensional gpKP equation. Phys. Lett. A 562 (2025) 130998.

6. Xueqing Zhang, Bo Ren, Nonlinear waves and transitions mechanisms for (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation. Wave Motion 130 (2024) 103383.

7. Xueqing Zhang, Bo Ren, Resonance solitons, soliton molecules and hybrid solutions for a (2+1)-dimensional nonlinear  wave  equation arising in the shallow water wave. Nonlinear Dyn. 112 (2024) 4793.

8. Bo Ren, Ji Lin, The integrability of a (2+1)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions. Wave Motion 117 (2023) 103110.

9. Bo Ren, Dynamics of a D'Alembert wave and a soliton molecule for an extended BLMP equation. Comm. Theor. Phys. 73 (2021) 035003.

10. Bo Ren and Ji Lin, D'Alembert wave and soliton molecule of the modified Nizhnik- Novikov-Veselov equation. Eur. Phys. J. Plus 136 (2021) 123. 

11. Bo Ren, Ji Lin and Zhi-Mei Lou, Consistent Riccati expansion and rational solutions of the Drinfel’d-Sokolov-Wilson equation. Appl. Math. Lett. 105 (2020) 106326.

12. Bo Ren and Ji Lin, Soliton molecules, nonlocal symmetry and CRE method of the KdV equation with higher-order corrections. Phys. Scri. 95 (2020) 075202.

13. Bo Ren, Wen-Xiu Ma and Jun Yu, Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation. Comput. Math. Appl. 77 (2019) 2086. (热点论文、高被引论文)

14. Bo Ren, Dynamics behavior of lumps and interaction solutions of a (3+1) dimensional partial differential equation. Complexity 2019 (2019) 9512531.  

15. Bo Ren, Wen-Xiu Ma and Jun Yu, Characteristics and interactions of solitary and lump waves of a (2+1)-dimensional coupled nonlinear partial differential equation. Nonlinear Dyn. 96 (2019) 717.

16. Bo Ren, Ji Lin and Zhi-Mei Lou, A new nonlinear equation with lump-soliton, lump-periodic and lump-periodic-soliton solutions. Complexity 2019 (2019) 4072754.

17. Bo Ren, Wen-Xiu Ma and Jun Yu, Lump solutions for two mixed Calogero Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko equations. Commun. Theor. Phys. 71 (2019) 658.

18. Bo Ren, Zhi-Wei He, Yong-Li Sun and Fu-Dong Wang, Dynamics of mixed lump-soliton solutions according to a (2+1)-dimensional coupled nonlinear partial differential like equation. J. Korean Phys. Soc. 74 (2019) 744.

19. Bo Ren and Wen-Xiu Ma, Rational solutions of a (2+1)-dimensional Sharma Tasso-Olver equation. Chin. J. Phys. 60 (2019) 153.

20. Bo Ren, Zhi-Mei Lou, Yong-Li Sun and Zhi-Wei He, Dynamical analysis of solitary waves, lumps and interaction phenomena of a (2+1)-dimensional high-order nonlinear evolution equation. Mod. Phys. Lett. B 33 (2019) 1950181.

21. Bo Ren and Sen-Yue Lou, A super mKdV equation: bosonization, Painlevé property and exact solutions. Commun. Theor. Phys. 69 (2018) 343.

22. Bo Ren, Ji Lin and Zhi-Mei Lou, Invariant interaction solutions for a supersymmetric mKdV equation. Chin. J. Phys. 56 (2018) 2317.

23. Bo Ren and Ji Lin, Symmetry reduction related by nonlocal symmetry and explicit solutions for the Whitham-Broer-Kaup system. J. Korean Phys. Soc. 73 (2018) 538.

24. Xiao-Gang He, Siao-Fong Li, Bo Ren and Xing-Bo Yuan, Tests for CPT sum rule and U-spin violation in time-dependent CP violation of B and B. Phys. Rev. D 96 (2017) 053004. 

25. Bo Ren, Ji Lin, Jia-Yi Le, Sheng Wang and Tian-Zhao Dai, Nonlocal symmetry reductions for Bosonized supersymmetric Burgers equation. Commun. Theor. Phys. 68 (2017) 170.

26. Bo Ren, CTE method and interaction solutions for the Kadomtsev-Petviashvili equation. J. Korean Phys. Soc. 70 (2017) 333.

27. Bo Ren, Zhi-Mei Lou, Zu-Feng Liang and Xiao-Yan Tang, Nonlocal symmetry and explicit solutions for Drinfel’d-Sokolov-Wilson system. Eur. Phys. J. Plus 131 (2016) 441.

28. Bo Ren, Xue-Ping Cheng and Ji Lin, The (2+1)-dimensional Konopelchenko Dubrovsky equation: nonlocal symmetries and interaction solutions. Nonlinear Dyn. 86 (2016) 1855. 

29. Bo Ren, Symmetry reduction related with nonlocal symmetry for Gardner equation. Commun. Nonlinear Sci. Numer. Simulat. 42 (2017) 456. (高被引论文)

30. Bo Ren, Painlevé analysis, nonlocal symmetry and explicit interaction solutions for supersymmetric mKdVB equation. AIP Advances 6 (2016) 085205.

31. Bo Ren and Ji Lin, Nonlocal symmetry and its applications in perturbed mKdV equation. Z. Naturforsch. 71a (2016) 557.

32. Bo Ren and Xue-Ping Cheng, CTE solvability, nonlocal symmetry and explicit solutions of modified Boussinesq system. Commun. Theor. Phys. 66 (2016) 84.

33. Bo Ren, Jun Yu and Xi-Zhong Liu, Nonlocal symmetries and interaction solutions for potential Kadomtsev-Petviashvili equation. Commun. Theor. Phys. 65 (2016) 34.

34. Bo Ren, Interaction solutions for supersymmetric mKdV-B equation. Chin. J. Phys. 54 (2016) 628.

35. Xue-Ping Cheng, Jian-Yong Wang, Bo Ren and Yun-Qing Yang, Interaction behaviours between solitons and cnoidal periodic waves for (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation. Commun. Theor. Phys. 66 (2016) 163.

36. Bo Ren, Interaction solutions for mKP equation with nonlocal symmetry reductions and CTE method. Phys. Scri. 90 (2015) 065206.

37. Bo Ren, Exact solutions for the N = 2 supersymmetric KdV equation with the Bosonization approach. Chin. J. Phys. 53 (2015) 56.

38. Bo Ren, Xi-Zhong Liu and Ping Liu, Nonlocal smmetry reductions, CTE method and exact solutions for higher-order KdV equation. Commun. Theor. Phys. 63 (2015) 125.

39. Bo Ren, Painlevé analysis and exact solutions of bosonized N=1 supersymmetric Burgers equation. Open Phys. 13 (2015) 205.

40. Bo Ren and Ji Lin, Interaction behaviours between soliton and cnoidal periodic waves for the cubic generalised Kadomtsev-Petviashvili equation. Z. Naturforsch. 70a (2015) 539.

41. Bo Ren, Xiao-Nan Gao, Jun Yu and Ping Liu, Exact solutions of supersymmetric Burgers equation with Bosonization procedure. Open Math. 13 (2015) 502-509.

42. Bo Ren, Jian-Rong Yang, Ping Liu and Xi-Zhong Liu, Bosonization, Painlevé property, and exact solutions for the N = 1 supersymmetric mKdV equation. Chin. J. Phys. 53 (2015) 080001.56. Bo Ren, Ji Lin and Jun Yu, Supersymmetric Ito equation: Bosonization and exact solutions. AIP Advances 3 (2013) 042129.

43. Ping Liu, Jian-Jun Yang and Bo Ren, Modified (1+1)-dimensional displacement shallow water wave system. Chin. Phys. Lett. 30 (2013) 100201.

44. Guan-Nan Li, Gang Guo, Bo Ren, Ya-Juan Zheng and Xiao-Gang He, Lepton number violation and h-gamma gamma in a radiative inverse seesaw dark matter model. J. High Ener. Phys. 04 (2013) 026. (一区)

45. Bo Ren, Jian-Yong Wang, Jun Yu and Ji Lin, Finite symmetry transformation groups and exact solutions of three generalized breaking soliton equations. Chin. J. Phys. 51 (2013) 657.

46. Xiao-Gang He, Bo Ren and Jusak Tandean, Hints of standard model Higgs boson at the LHC and light dark matter searches. Phys. Rev. D 85 (2012) 093019. 该论文入选2012年中国百篇最具影响国际学术论文.

47. Bo Ren, Xiao-Gang He and Pei-Chu Xie, Large dimuon asymmetry in Bs mixing from unparticle induced gamma. Phys. Lett. B 698 (2011) 231. 该论文被国际知名科学/科技新闻杂志《New Scientist》专栏刊登了题为《Weird 'unparticle' boosted by Tevatron signal》的文章所报道

48. Yi Cai, Xiao-Gang He and Bo Ren, Low mass dark matter and invisible Higgs width in Darkon models. Phys. Rev. D 83 (2011) 083524. 

49. Bo Ren, Koji Tsumura and Xiao-Gang He, A Higgs quadruplet for type III seesaw and implications for mu→ e and mu- e conversion. Phys. Rev. D 84 (2011) 073004.

50. Bo Ren, Xue-Jun Xu and Ji Lin, Symmetry group and exact solutions for the 2+1 dimesional AKNS equation. J. Math. Phys. 50 (2009) 123505.

51. Bo Ren and Ji Lin, Painlevé properties and exact solutions for the high dimensional Schwartz Boussinesq equation. Chin. Phys. B 18 (2009) 1161.

52. Bo Ren and Ji Lin, A new 2+1 dimensional integrable equation. Commun. Theor. Phys. 51 (2009) 13.

53. Ji Lin, Bo Ren, Hua-Mei Li and Yi-Sheng Li, Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs. Phys. Rev. E 77 (2008) 036605.

目前指导博士生（学术型）1人（赵朝，入选2025年度中国科协青年科技人才培育工程博士生专项计划），博士后1人（宋海芳）。

指导硕士生（学术型）7人（沈陆露，傅世宇，朱心洁，於家豪，林晓明，林威佐，庄英杰）。