Rana, Jyotirmoy; Liao, Shijun A general analytical approach to study solute dispersion in non-Newtonian fluid flow. (English) Zbl 1475.76088 Eur. J. Mech., B, Fluids 77, 183-200 (2019). MSC: 76R99 76A05 76V05 76Z05 76M45 PDFBibTeX XMLCite \textit{J. Rana} and \textit{S. Liao}, Eur. J. Mech., B, Fluids 77, 183--200 (2019; Zbl 1475.76088) Full Text: DOI
Liu, Y. P.; Liao, S. J.; Li, Z. B. Symbolic computation of strongly nonlinear periodic oscillations. (English) Zbl 1325.68292 J. Symb. Comput. 55, 72-95 (2013). MSC: 68W30 65L99 68T15 34C15 PDFBibTeX XMLCite \textit{Y. P. Liu} et al., J. Symb. Comput. 55, 72--95 (2013; Zbl 1325.68292) Full Text: DOI
Liu, Yinping; Liao, Shijun; Li, Zhibin A Maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations. (English) Zbl 1255.93054 J. Syst. Sci. Complex. 25, No. 3, 594-616 (2012). MSC: 93B40 93C15 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Syst. Sci. Complex. 25, No. 3, 594--616 (2012; Zbl 1255.93054) Full Text: DOI
Liao, Shi-Jun On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves. (English) Zbl 1221.76046 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1274-1303 (2011). MSC: 76B15 65N99 76M25 PDFBibTeX XMLCite \textit{S.-J. Liao}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1274--1303 (2011; Zbl 1221.76046) Full Text: DOI arXiv
Xu, Hang; Liao, Shijun; Wu, Guo-Xiong A family of new solutions on the wall jet. (English) Zbl 1154.76335 Eur. J. Mech., B, Fluids 27, No. 3, 322-334 (2008). MSC: 76D25 76D10 76M55 PDFBibTeX XMLCite \textit{H. Xu} et al., Eur. J. Mech., B, Fluids 27, No. 3, 322--334 (2008; Zbl 1154.76335) Full Text: DOI
Xu, Hang; Liao, Shi-Jun Dual solutions of boundary layer flow over an upstream moving plate. (English) Zbl 1131.35066 Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 350-358 (2008). MSC: 35Q35 76D10 PDFBibTeX XMLCite \textit{H. Xu} and \textit{S.-J. Liao}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 350--358 (2008; Zbl 1131.35066) Full Text: DOI
Tan, Yue; Xu, Hang; Liao, Shi-Jun Explicit series solution of travelling waves with a front of Fisher equation. (English) Zbl 1143.35313 Chaos Solitons Fractals 31, No. 2, 462-472 (2007). MSC: 35C10 35K57 PDFBibTeX XMLCite \textit{Y. Tan} et al., Chaos Solitons Fractals 31, No. 2, 462--472 (2007; Zbl 1143.35313) Full Text: DOI
Xu, Hang; Liao, Shijun; Pop, Ioan Series solutions of unsteady three-dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate. (English) Zbl 1105.76061 Eur. J. Mech., B, Fluids 26, No. 1, 15-27 (2007). MSC: 76W05 76D10 76M45 80A20 PDFBibTeX XMLCite \textit{H. Xu} et al., Eur. J. Mech., B, Fluids 26, No. 1, 15--27 (2007; Zbl 1105.76061) Full Text: DOI
Xu, Hang; Liao, Shi-Jun Series solutions of unsteady MHD flows above a rotating disk. (English) Zbl 1163.76452 Meccanica 41, No. 6, 599-609 (2006). MSC: 76W05 76U05 PDFBibTeX XMLCite \textit{H. Xu} and \textit{S.-J. Liao}, Meccanica 41, No. 6, 599--609 (2006; Zbl 1163.76452) Full Text: DOI
Liao, Shijun Series solutions of unsteady boundary-layer flows over a stretching flat plate. (English) Zbl 1145.76352 Stud. Appl. Math. 117, No. 3, 239-263 (2006). MSC: 76D10 76M55 PDFBibTeX XMLCite \textit{S. Liao}, Stud. Appl. Math. 117, No. 3, 239--263 (2006; Zbl 1145.76352) Full Text: DOI
Xu, Hang; Liao, Shijun A series solution of the unsteady von Kármán swirling viscous flows. (English) Zbl 1122.35102 Acta Appl. Math. 94, No. 3, 215-231 (2006). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 76U05 35C10 PDFBibTeX XMLCite \textit{H. Xu} and \textit{S. Liao}, Acta Appl. Math. 94, No. 3, 215--231 (2006; Zbl 1122.35102) Full Text: DOI
Xu, H.; Liao, S. J.; Pop, I. Series solutions of unsteady boundary-layer flow of a micropolar fluid near the forward stagnation point of a plane surface. (English) Zbl 1096.76004 Acta Mech. 184, No. 1-4, 87-101 (2006). MSC: 76A05 76M45 PDFBibTeX XMLCite \textit{H. Xu} et al., Acta Mech. 184, No. 1--4, 87--101 (2006; Zbl 1096.76004) Full Text: DOI
Liao, Shijun An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. (English) Zbl 1078.76022 Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 326-339 (2006). MSC: 76D10 35Q35 PDFBibTeX XMLCite \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 326--339 (2006; Zbl 1078.76022) Full Text: DOI
Yang, Cheng; Liao, Shijun On the explicit, purely analytic solution of von Kármán swirling viscous flow. (English) Zbl 1075.35059 Commun. Nonlinear Sci. Numer. Simul. 11, No. 1, 83-93 (2006). MSC: 35Q35 76D17 35C05 76U05 PDFBibTeX XMLCite \textit{C. Yang} and \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 1, 83--93 (2006; Zbl 1075.35059) Full Text: DOI
Wu, Y. Y.; Liao, S. J.; Zhao, X. Y. Some notes on the general boundary element method for highly nonlinear problems. (English) Zbl 1147.76596 Commun. Nonlinear Sci. Numer. Simul. 10, No. 7, 725-735 (2005). MSC: 76M15 80M15 80A20 PDFBibTeX XMLCite \textit{Y. Y. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 10, No. 7, 725--735 (2005; Zbl 1147.76596) Full Text: DOI
Wu, Yongyan; Wang, Chun; Liao, Shi-Jun Solving the one-loop soliton solution of the Vakhnenko equation by means of the homotopy analysis method. (English) Zbl 1069.35060 Chaos Solitons Fractals 23, No. 5, 1733-1740 (2005). MSC: 35Q35 37K40 76A10 PDFBibTeX XMLCite \textit{Y. Wu} et al., Chaos Solitons Fractals 23, No. 5, 1733--1740 (2005; Zbl 1069.35060) Full Text: DOI
Liao, Shijun On the homotopy analysis method for nonlinear problems. (English) Zbl 1086.35005 Appl. Math. Comput. 147, No. 2, 499-513 (2004). MSC: 35A25 76M25 76D10 PDFBibTeX XMLCite \textit{S. Liao}, Appl. Math. Comput. 147, No. 2, 499--513 (2004; Zbl 1086.35005) Full Text: DOI
Liao, Shijun On a generalized Taylor theorem: a rational proof of the validity of the homotopy analysis method. (English) Zbl 1044.41019 Appl. Math. Mech., Engl. Ed. 24, No. 1, 53-60 (2003). Reviewer: László Leindler (Szeged) MSC: 41A58 26A06 PDFBibTeX XMLCite \textit{S. Liao}, Appl. Math. Mech., Engl. Ed. 24, No. 1, 53--60 (2003; Zbl 1044.41019) Full Text: DOI
Liao, Shijun An explicit analytic solution to the Thomas-Fermi equation. (English) Zbl 1034.34005 Appl. Math. Comput. 144, No. 2-3, 495-506 (2003). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 34A05 34B05 PDFBibTeX XMLCite \textit{S. Liao}, Appl. Math. Comput. 144, No. 2--3, 495--506 (2003; Zbl 1034.34005) Full Text: DOI
Liao, Shijun A new analytic algorithm of Lane–Emden type equations. (English) Zbl 1022.65078 Appl. Math. Comput. 142, No. 1, 1-16 (2003). MSC: 65L05 34A34 65L20 85-08 85A15 PDFBibTeX XMLCite \textit{S. Liao}, Appl. Math. Comput. 142, No. 1, 1--16 (2003; Zbl 1022.65078) Full Text: DOI