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2项(面上、青年)，浙江省自然科学基金1项。已在Phys. Rev. D, Phys. Lett. B, Phys. Rev. E, Nonlinear Dyn., J. Math. Phys., J. High Ener. Phys.等SCI收录的杂志上发表60余篇学术论文，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。

主持项目：

1. 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.

2. 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.

3. 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.

发表论文：

1. Bo Ren, Characteristics of the soliton molecule and lump solution in the (2+1)-dimensional higher-order Boussinesq equation. Adv. Math. Phys. 2021 (2021) 5545984.

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

3. Bo Ren, Painleve analysis, soliton molecule, and lump solution of the higher-order Boussinesq equation. Adv. Math. Phys. 2021 (2021) 6687632.

4. 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. 

5. Bo Ren and Peng-Cheng Chu, Dynamics of D’Alembert wave and soliton molecule for a (2+1)-dimensional generalized breaking soliton equation. Chin. J. Phys. 74 (2021) 296. 

6. Ping Liu, Bing Huang, Bo Ren and Jian-Rong Yang, Consistent Riccati expansion solvability, symmetries, and analytic solutions of a forced variable-coeffificient extended Korteveg-de Vries equation in fluid dynamics of internal solitary waves. Chin. Phys. B 30 (2021) 080203.

7. Ya-Qing Liu, Bo Ren and Deng-Shan Wang, Localised nonlinear wave interaction in the generalised Kadomtsev-Petviashvili equation. E. Asian J. Appl. Math. 11 (2021) 301. 

8. 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.

9. Bo Ren, Ji Lin and Zhi-Mei Lou, Lumps and their interaction solutions of (2+1)-dimensional generalized potential Kadomtsev-Petviashvili equation. J. Appl. Anal. Comput. 10 (2020) 1-11.

10. Bo Ren, Ji Lin and Ping Liu, Soliton molecules and the CRE method in the extended mKdV equation. Commun. Theor. Phys. 72 (2020) 055005.

11. Ping Liu, Jie Cheng, Bo Ren and Jian-Rong Yang, Bäcklund transformations, consistent Riccati expansion solvability, and soliton-cnoidal interaction wave solutions of Kadomtsev-Petviashvili equation. Chin. Phys. B 29 (2020) 020201.

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, Ji Lin and Jun Yu, Interaction of localized waves and dynamic behavior in a (3+1)-dimensional partial differential equation. Mod. Phys. Lett. B 34 (2020) 2050215.

14. 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)

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

16. 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.

17. 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.

18. 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.

19. 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.

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

21. 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.

22. Yong-Li Sun, Wen-Xiu Ma, Jian-Ping Yu, Bo Ren and Chaudry Masood Khaliqu, Lump and interaction solutions of nonlinear partial differential equations. Mod. Phys. Lett. B 33 (2019) 1950133.

23. Xue-Ping Cheng, Yun-Qing Yang, Bo Ren and Jian-Yong Wang, Interaction behavior between solitons and (2+1)-dimensional CDGKS waves. Wave Motion 86 (2019) 150.

24. Jian-Ping Yu, Wen-Xiu Ma, Bo Ren, Yong-Li Sun and Chaudry Masood Khalique, Diversity of interaction solutions of a shallow water wave equation. Complexity 2019 (2019) 5874904.

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

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

27. 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.

28. 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. 

29. 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.

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

31. 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.

32. 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. 

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

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

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

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

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

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

39. 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.

40. Ping Liu, Ya-Xiong Wang, Bo Ren and Jin-Hua Li, Exact solutions of atmospheric (2+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equation. Commun. Theor. Phys. 66 (2016) 595.

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

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

43. 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.

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

45. 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.

46. 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.

47. 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.

48. Xi-Zhong Liu, Jun Yu, Bo Ren and Jian-Rong Yang, Residual symmetry reductions and interaction solutions of the (2+1)-dimensional Burgers equation. Chin. Phys. B 24 (2015) 010203.

49. Xi-Zhong Liu, Jun Yu and Bo Ren, Explicit solutions from residual symmetry of the Boussinesq equation. Chin. Phys. B 3 (2015) 030202.

50. Liu Xi-Zhong, Yu Jun and Bo Ren, New solutions from nonlocal symmetry of the generalized fifth order KdV equation. Chin. Phys. B 24, (2015) 080202.

51. Liu Ping, Zeng Bao-Qing, Yang Jian-Rong and Bo Ren, Exact solutions and residual symmetries of the Ablowitz-Kaup-Newell-Segur system. Chin. Phys. B 24 (2015) 010202

52. Jian-Yong Wang, Xue-Ping Cheng, Xiao-Yan Tang, Jian-Rong Yang and Bo Ren, Oblique propagation of ion acoustic soliton-cnoidal waves in a magnetized electron-positron-ion plasma with superthermal electrons. Phys. Plasma. 21 (2014) 032111.

53. Xi-Zhong Liu, Jun Yu, Bo Ren and Jian-Rong Yang, Backlund transformations for the Burgers equation via localization of residual symmetries. Chin. Phys. B 23 (2014) 110203.

54. Xi-Zhong Liu, Jun Yu, Bo Ren and Jian-Rong Yang, New interaction solutions of the Kadomtsev–Petviashvili equation. Chin. Phys. B 23 (2014) 100201.

55. Jie-Jian Mao, Bo Wu, Min Fu, Ying Huang, Jian-Rong Yang, Bo Ren and Ping Liu, Periodic wave and solitary wave of curved face in barotropic atmospheric circulation. Acta Phys. Sin. 63 (2014) 180204.

56. Bo Ren, Ji Lin and Jun Yu, Supersymmetric Ito equation: Bosonization and exact solutions. AIP Advances 3 (2013) 042129.

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

58. 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)

59. 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.

60. 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.

61. 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

62. 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. 

63. 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.

63. 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.

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

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

66. 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.