1. 廖世俊，“同伦分析方法：求解强非线性问题的一个新途径”，《科学观察》，２００９年，第４卷，第５期，４８-４９页（热点研究论文特约稿）.[PDF]
2. S.J. Liao, “Series solution of large deformation of a beam with arbitrary variable cross section under an axial load”,ANZIAM Journal, vol. 51, pp. 10–33 (2009) (DOI: 10.1017/S1446181109000339).[PDF]
3. S.J. Liao, “Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method”,Nonlinear Analysis B: Real World Applications, vol. 10, pp. 2455-2470 (2009) (DOI: 10.1016/j.nonrwa.2008.05.003).[PDF]
4. S.J. Liao, “Notes on the homotopy analysis method: some definitions and theorems”,Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 983-997 (2009) (DOI: 10.1016/j.cnsns.2008.04.013).[PDF]
5. S.J. Liao, “A general approach to get series solution of non-similarity boundary layer flows”,Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 2144-2159 (2009) (DOI: 10.1016/j.cnsns.2008.06.013).[PDF]
6. S.J. Liao, “On the reliability of computed chaotic solutions of non-linear differential equations”,Tellus - A, vol. 61, pp. 550-564 (2009) (DOI: 10.1111/j.1600-0870.2009.00402.x).[PDF]
7. J. Cheng, S.J. Liao, R.N. Mohapatra and K. Vajravelu, “Series solution of stagnation slip flow and heat transfer by means of the homotopy analysis method”,Science in China - G, vol. 52, pp. 1-7 (2009) (DOI: 10.1007/s11433-009-0117-y).[PDF]
8. J. Cheng, J. Cang and S.J. Liao, “On the interaction of deep water waves and exponential shear currents”,ZAMP, vol. 60, pp. 450-478 (2009) (DOI: 10.1007/s00033-008-7050-1).[PDF]
9. H. Khan, S.J. Liao, R.N. Mohapatra and K. Vajravelu, “The explicit series solution of SIR and SIS epidemic models”,Applied Mathematics and Computation, vol. 215, pp. 653-669 (2009) (DOI: 10.1016/j.amc.2009.05.051).[PDF]
10. H. Khan, S.J. Liao, R.N. Mohapatra and K. Vajravelu, “An analytical solution for a nonlinear time-delay model in biology”,Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 3141-3148 (2009) (DOI: 10.1016/j.cnsns.2008.11.003).[PDF]
11. J. Cang, Y. Tan, H. Xu and S.J. Liao, “Series solutions for nonlinear Riccati differential equations with fractional order”,Chaos, Solitons and Fractals, vol. 40, pp. 1-9 (2009) (DOI: 10.1016/j.chaos.2007.04.018).[PDF]