Runliang LIN

Ph.D. in Applied Mathematics, Tsinghua University, July 2000.


Associate Professor in Mathematics



Integrable Systems, Soliton Theory



Room 201, He 2 Building






Dept. of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China












Some of My Photos




Personal Information

[Name] Runliang LIN

[Name in Chinese] 林润亮

[Nationality] Chinese

[Date of Birth] February, 1973

[Sex] Male

[Mail Address] Department of Mathematical Sciences

Tsinghua University,

Beijing 100084, P. R. China

[Phone] +86-10-62798535

[Fax] +86-10-62773400



faculty in Mathematical Sciences, Dept. of Mathematical Sciences

  • Sep. 1995 - July 2000, Tsinghua University, P. R. China

Ph.D. in Applied Mathematics, Supervisor: Prof. Yunbo Zeng

  • Sep. 1991 - Aug. 1995, Tsinghua University, P. R. China

B.S. in Applied Mathematics

Visiting Experience

  • Jan. 2012 - Feb. 2012, Visiting Professor, University of Amsterdam, The Netherlands.
  • July 2011 - July 2011, Visiting Professor, École normale supérieure de Cachan, working with Prof. R. Conte, exchange program between NSFC (China) and CNRS (France).
  • Jan. 2010 - Apr. 2010, Visiting Professor, Universidad Complutense de Madrid, Spain, working with Prof. Manuel Manas.
  • May 2009 - May 2009, Visiting Professor, Universita` degli Studi Roma Tre, Italy.
  • Sep. 2005 - Mar. 2006, Visiting Scholar, University of California at San Diego, USA.
  • Nov. 2001 - Jan. 2003, Postdoctoral, Service de physique de l'état condensé, CEA-Saclay, France, working with Prof. Robert Conte.
  • Aug. 2001 - Oct. 2001, Research Assistant, Department of Mathematics, Hong Kong City University, Hong Kong, working with Prof. Wen-Xiu Ma.

Academic Honors

  • In 2001, one paper (in Physica A) was selected as an excellent research paper (second prize) by the Beijing Mathematical Society.
  • In 1997, awarded by C.C. Lin's Prize in Applied Mathematics in Tsinghua University (Second Prize).
  • In 1996, 1998 and 1999, awarded as Excellent Graduate Student in Tsinghua University three times.

Research Area

Soliton Theory, Theory of Integrable Systems, Nonlinear Wave:

  • Constrained flows of soliton equations
  • Soliton equation with self-consistent sources
  • Continuous limits for the discrete integrable lattice
  • Dynamical r-matrix; bi-Hamiltonian systems

Attended Conferences

  • In July 2012, participated the conference "Nonlinear evolution equations and dynamical systems" in Crete, Greece.
  • In May 2009, participated the conference "Nonlinear evolution equations and dynamical systems" in Sardegna, Italy.
  • In June 2002, participated the conference "Nonlinear evolution equations and dynamical systems" in Cadiz, Spain.
  • In July 1999, participated the conference "Dynamics Days Asia-Pacific: First International Conference on Nonlinear Science" in Hong Kong Baptist University.


  1. Runliang Lin, T.C. Cao, X.J. Liu, Y.B. Zeng, Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy, Theor. Math. Phys., 2016, 186, 307-319.
  2. A. Doliwa, Runliang Lin, Discrete KP equation with self-consistent sources, Phys. Lett. A, 2014, 378, 1925-1931.
  3. Runliang Lin, X.J. Liu and Y.B. Zeng, Binlinear identities and Hirota's bilinear forms for an extended Kadomtsev-Petviashvili hierarchy, J. Nonl. Math. Phys., 2013, 20, 214-228.
  4. Y.H. Huang, Runliang Lin, Y.Q. Yao and Y.B. Zeng, The generalized Kupershmidt deformation for constructing new discrete integrable systems, Theor. Math. Phys., 2013, 175, 596-608.
  5. Runliang Lin, H. Peng and M. Manas, The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons, J. Phys. A: Math. Theor., 2010, 43, 434022 (15pp).
  6. X.J. Liu, Runliang Lin, B. Jin and Y.B. Zeng, A generalized dressing approach for solving the extended KP and the extended mKP hierarchy, J. Math. Phys., 2009, 50, 053506.
  7. Runliang Lin, X.J. Liu and Y.B. Zeng, A new extended q-deformed KP hierarchy, J. Nonlinear Math. Phys., 2008, 15, 333-347.
  8. X.J. Liu, Y.B. Zeng and Runliang Lin, A new extended KP hierarchy, Phys. Lett. A, 2008, 372, 3819-3823.
  9. X.J. Liu, Y.B. Zeng and Runliang Lin, An extended two-dimensional Toda lattice hierarchy and two-dimensional Toda lattice with self-consistent sources, J. Math. Phys., 2008, 49, 093506.
  10. Runliang Lin, H.S. Yao and Y.B. Zeng, Restricted Flows and the Soliton Equation with Self-Consistent Sources, Symmetry, Integrability and Geometry: Methods and Applications, 2006, 2, 096.
  11. Runliang Lin, R. Conte and M. Musette, On the Lax pairs of the continuous and discrete sixth Painlev\'e equations, J. Nonlinear Math. Phys., 2003, 10 (Suppl 2), 107-118.
  12. Runliang Lin, Wen-Xiu Ma and Yunbo Zeng, Higher order potential expansion for the continuous limits of the Toda hierarchy, J. Phys. A: Math. Gen., 2002, 35, 4915-4928.
  13. Runliang Lin, Yunbo Zeng and Wen-Xiu Ma, Solving the KdV hierarchy with self-consistent sources by inverse scattering method, Physica A, 2001, 291, 287-298.
  14. Yunbo Zeng, Wen-Xiu Ma and Runliang Lin, Integration of the soliton hierarchy with self-consistent sources, J. Math. Phys. 2000, 41, 5453-5489.
  15. Yunbo Zeng, Runliang Lin and Xin Cao, The relation between the Toda hierarchy and the KdV hierarchy, Phys. Lett. A, 1999, 251, 177-183.
  16. Yunbo Zeng and Runliang Lin, Families of dynamical r-matrices and Jacobi inversion problem for nonlinear evolution equations, J. Math. Phys., 1998, 39(11), 5964-5983.
  17. Runliang Lin and Yunbo Zeng, Jacobi inversion problem for the modified Jaulent-Miodek hierarchy, Tsinghua Science and Technology, 1998, 3(4), 1253-1259.
  18. Runliang Lin and Xin Cao, Continuous limit for the Toda hierarchy, Advances in Mathematics(Chinese), 1998, 27(4), 369-372.
  19. Yunbo Zeng, Runliang Lin and Xiaohong Wang, Bi-Hamiltonian structure of the KdV hierarchy with self-consistent sources, Advances in Mathematics(Chinese), 1998, 27(5), 451-463.
  20. Runliang Lin, New hierarchies of infinite dimensional integrable Hamiltonian systems, In: Zhang Weijiang, Ma Xiaoun, He Ming, eds. Proceedings of International Conference on Dynamical Systems and Differential Equations (Shanghai, June 9-11, 1998), J. Shanghai Jiaotong University, 1998, Vol E-3 Sup(I): 74-81.