P.R. Gordoa, A. Pickering, “The extended second Painlevé hierarchy: Auto-Bäcklund transformations and special integrals”, Journal of Differential Equations, 417 (2025), 132
Pilar Ruiz Gordoa, Andrew Pickering, “Auto‐Bäcklund Transformations for New Matrix First and Second Painlevé Hierarchies”, Stud Appl Math, 154:1 (2025)
P. Gordoa, A. Pickering, Contemporary Mathematics, 807, Recent Progress in Special Functions, 2024, 131
Xiang-Ke Chang, Xiao-Min Chen, “On the peakon dynamical system of the second flow in the Camassa–Holm hierarchy”, Advances in Mathematics, 459 (2024), 110000
P.R. Gordoa, A. Pickering, J.A.D. Wattis, “Solution classes of the matrix second Painlevé hierarchy”, Physica D: Nonlinear Phenomena, 435 (2022), 133295
P.R. Gordoa, A. Pickering, “On matrix fourth Painlevé hierarchies”, Journal of Differential Equations, 271 (2021), 499
Alain Moise Dikandé, Eugene Chenui Aban, Anderson Sunda‐Meya, “Thermal lensing‐induced soliton molecules in β‐phase gallium oxide”, Micro & Optical Tech Letters, 63:12 (2021), 3100
Levi D. Rodriguez M.A. Thomova Z., “The Discretized Boussinesq Equation and Its Conditional Symmetry Reduction”, J. Phys. A-Math. Theor., 53:4 (2020), 045201
Gordoa P.R. Pickering A., “Backlund Transformations For a New Extended Painleve Hierarchy”, Commun. Nonlinear Sci. Numer. Simul., 69 (2019), 78–97
Andrew Pickering, Pilar R. Gordoa, Jonathan A.D. Wattis, “The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: Scalar and matrix cases”, Physica D: Nonlinear Phenomena, 391 (2019), 72
Yu Liu, Huanhe Dong, Yong Zhang, “Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows”, Anal.Math.Phys., 9:1 (2019), 465
P.R. Gordoa, A. Pickering, “Auto-Bäcklund transformations for a matrix partial differential equation”, Physics Letters A, 382:29 (2018), 1908
Gordoa P.R., Pickering A., “On An Extended Second Painlevé Hierarchy”, J. Differ. Equ., 263:7 (2017), 4070–4125
Yufeng Zhang, Xiangzhi Zhang, “Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions”, Adv Differ Equ, 2017:1 (2017)
Gordoa P.R., Pickering A., Zhu Z.N., “On matrix Painlevé hierarchies”, J. Differ. Equ., 261:2 (2016), 1128–1175
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Yu-Feng Zhang, Yan Wang, “Generating integrable lattice hierarchies by some matrix and operator Lie algebras”, Adv Differ Equ, 2016:1 (2016)
Gordoa P.R. Pickering A. Wattis J.A.D., “Nonisospectral Scattering Problems and Similarity Reductions”, Appl. Math. Comput., 237 (2014), 77–84
Gordoa P.R., Pickering A., Senthilvelan M., “The Prelle-Singer Method and Painlevé Hierarchies”, J. Math. Phys., 55:5 (2014), 053510
Adam Doliwa, “Non-commutativeq-Painlevé VI equation”, J. Phys. A: Math. Theor., 47:3 (2014), 035203