Barnes, L. E.; Hone, A. N. W. Similarity reductions of peakon equations: the \(b\)-family. (English. Russian original) Zbl 1516.37077 Theor. Math. Phys. 212, No. 2, 1149-1167 (2022); translation from Teor. Mat. Fiz. 212, No. 2, 303-324 (2022). MSC: 37K10 37J65 35Q51 37K40 35C08 PDFBibTeX XMLCite \textit{L. E. Barnes} and \textit{A. N. W. Hone}, Theor. Math. Phys. 212, No. 2, 1149--1167 (2022; Zbl 1516.37077); translation from Teor. Mat. Fiz. 212, No. 2, 303--324 (2022) Full Text: DOI arXiv
Hone, A. N. W.; Zullo, F. A Hirota bilinear equation for Painlevé transcendents \(P_{I V}\), \(P_{I I}\) and \(P_I\). (English) Zbl 1422.34253 Random Matrices Theory Appl. 7, No. 4, Article ID 1840001, 15 p. (2018). Reviewer: Thomas Dreyfus (Paris) MSC: 34M55 34M25 PDFBibTeX XMLCite \textit{A. N. W. Hone} and \textit{F. Zullo}, Random Matrices Theory Appl. 7, No. 4, Article ID 1840001, 15 p. (2018; Zbl 1422.34253) Full Text: DOI arXiv
Hone, Andrew N. W.; Inoue, Rei Discrete Painlevé equations from Y-systems. (English) Zbl 1326.13015 J. Phys. A, Math. Theor. 47, No. 47, Article ID 474007, 26 p. (2014). MSC: 13F60 16G20 34M55 PDFBibTeX XMLCite \textit{A. N. W. Hone} and \textit{R. Inoue}, J. Phys. A, Math. Theor. 47, No. 47, Article ID 474007, 26 p. (2014; Zbl 1326.13015) Full Text: DOI arXiv
Hone, A. N. W.; Ragnisco, O.; Zullo, F. Properties of the series solution for Painlevé I. (English) Zbl 1420.33005 J. Nonlinear Math. Phys. 20, Suppl. 1, 85-100 (2013). MSC: 33E05 33E17 34M55 PDFBibTeX XMLCite \textit{A. N. W. Hone} et al., J. Nonlinear Math. Phys. 20, 85--100 (2013; Zbl 1420.33005) Full Text: DOI arXiv
Sen, A.; Hone, A. N. W.; Clarkson, P. A. On the Lax pairs of the symmetric Painlevé equations. (English) Zbl 1145.34380 Stud. Appl. Math. 117, No. 4, 299-319 (2006). MSC: 34M55 PDFBibTeX XMLCite \textit{A. Sen} et al., Stud. Appl. Math. 117, No. 4, 299--319 (2006; Zbl 1145.34380) Full Text: DOI
Sen, A.; Hone, A. N. W.; Clarkson, P. A. Darboux transformations and the symmetric fourth Painlevé equation. (English) Zbl 1102.34071 J. Phys. A, Math. Gen. 38, No. 45, 9751-9764 (2005). Reviewer: Andrew Pickering (Madrid) MSC: 34M55 34M25 PDFBibTeX XMLCite \textit{A. Sen} et al., J. Phys. A, Math. Gen. 38, No. 45, 9751--9764 (2005; Zbl 1102.34071) Full Text: DOI
Clarkson, Peter A.; Hone, Andrew N. W.; Joshi, Nalini Hierarchies of difference equations and Bäcklund transformations. (English) Zbl 1362.39006 J. Nonlinear Math. Phys. 10, Suppl. 2, 13-26 (2003). MSC: 39A12 34M55 PDFBibTeX XMLCite \textit{P. A. Clarkson} et al., J. Nonlinear Math. Phys. 10, 13--26 (2003; Zbl 1362.39006) Full Text: DOI
Hone, A. N. W. Lattice equations and \(\tau\)-functions for a coupled Painlevé system. (English) Zbl 1013.34085 Nonlinearity 15, No. 3, 735-745 (2002). MSC: 34M55 33E17 39A99 PDFBibTeX XMLCite \textit{A. N. W. Hone}, Nonlinearity 15, No. 3, 735--745 (2002; Zbl 1013.34085) Full Text: DOI
Hone, A. N. W. Coupled Painlevé systems and quartic potentials. (English) Zbl 0985.37077 J. Phys. A, Math. Gen. 34, No. 11, 2235-2245 (2001). MSC: 37K10 35Q53 34M55 81Q05 PDFBibTeX XMLCite \textit{A. N. W. Hone}, J. Phys. A, Math. Gen. 34, No. 11, 2235--2245 (2001; Zbl 0985.37077) Full Text: DOI
Nijhoff, Frank; Hone, Andrew; Joshi, Nalini On a Schwarzian PDE associated with the KdV hierarchy. (English) Zbl 0949.37049 Phys. Lett., A 267, No. 2-3, 147-156 (2000). MSC: 37K10 37K35 35Q53 PDFBibTeX XMLCite \textit{F. Nijhoff} et al., Phys. Lett., A 267, No. 2--3, 147--156 (2000; Zbl 0949.37049) Full Text: DOI arXiv
Nijhoff, Frank; Joshi, Nalini; Hone, Andrew On the discrete and continuous Miura chain associated with the sixth Painlevé equation. (English) Zbl 0944.37041 Phys. Lett., A 264, No. 5, 396-406 (2000). MSC: 37K15 37K20 37K10 34M55 39A12 PDFBibTeX XMLCite \textit{F. Nijhoff} et al., Phys. Lett., A 264, No. 5, 396--406 (2000; Zbl 0944.37041) Full Text: DOI arXiv
Hone, Andrew N. W. Non-autonomous Hénon-Heiles systems. (English) Zbl 0937.37037 Physica D 118, No. 1-2, 1-16 (1998). MSC: 37K05 37N20 37K35 PDFBibTeX XMLCite \textit{A. N. W. Hone}, Physica D 118, No. 1--2, 1--16 (1998; Zbl 0937.37037) Full Text: DOI
Hone, Andrew N. W. Nonautonomous Hénon-Heiles systems. (English) Zbl 0924.35141 Wójcik, Daniel (ed.) et al., Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21–28, 1995. Warszawa: Polish Scientific Publishers PWN. 287-295 (1998). MSC: 35Q53 58J72 PDFBibTeX XMLCite \textit{A. N. W. Hone}, in: Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21--28, 1995. Warszawa: Polish Scientific Publishers PWN. 287--295 (1998; Zbl 0924.35141) Full Text: arXiv