Edit Profile (opens in new tab) Pickering, Andrew Co-Author Distance Author ID: pickering.andrew Published as: Pickering, Andrew; Pickering, A. Documents Indexed: 87 Publications since 1993, including 1 Book Reviewing Activity: 79 Reviews Co-Authors: 20 Co-Authors with 67 Joint Publications 476 Co-Co-Authors all top 5 Co-Authors 19 single-authored 51 Gordoa, Pilar Ruiz 13 Zhu, Zuonong 9 Joshi, Nalini 8 Wattis, Jonathan A. D. 5 Conte, Robert Maurice 4 Conde, Juan M. 4 Fordy, Allan P. 3 Mugan, Ugurhan 2 Clarkson, Peter A. 2 Kudryashov, Nikolaĭ Alekseevich 2 Musette, Micheline 2 Prada, Julia 2 Senthilvelan, Murugaian 1 Fedorov, Yuri N. 1 Gilson, Claire R. 1 Hernández-Bermejo, Benito 1 Iagar, Razvan Gabriel 1 Sakka, Ayman Hashem 1 Sánchez, Ariel 1 Zhao, Haiqiong all top 5 Serials 14 Journal of Mathematical Physics 10 Physics Letters. A 8 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Physics A: Mathematical and General 5 Applied Mathematics and Computation 5 Physica D 4 Chaos, Solitons and Fractals 4 Journal of Differential Equations 3 Inverse Problems 3 Journal of Mathematical Analysis and Applications 3 Theoretical and Mathematical Physics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Nonlinearity 1 International Journal of General Systems 1 Reports on Mathematical Physics 1 Glasgow Mathematical Journal 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Progress of Theoretical Physics 1 Journal of Physics A: Mathematical and Theoretical 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 57 Dynamical systems and ergodic theory (37-XX) 43 Partial differential equations (35-XX) 41 Ordinary differential equations (34-XX) 10 Special functions (33-XX) 9 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 696 times in 344 Documents Cited by ▼ Year ▼ Nonisospectral scattering problems: A key to integrable hierarchies. Zbl 1063.37544 Gordoa, Pilar R.; Pickering, Andrew 47 1999 Bäcklund transformations for the second Painlevé hierarchy: A modified truncation approach. Zbl 0923.35170 Clarkson, Peter A.; Joshi, Nalini; Pickering, Andrew 46 1999 A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011 Conte, Robert; Fordy, Allan P.; Pickering, Andrew 40 1993 A new truncation in Painlevé analysis. Zbl 0803.35131 Pickering, Andrew 35 1993 On a generalized \(2+1\) dispersive water wave hierarchy. Zbl 0997.35094 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 33 2001 Rational solutions for Schwarzian integrable hierarchies. Zbl 0985.37073 Kudryashov, Nicolai A.; Pickering, Andrew 29 1998 Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations. Zbl 0830.35127 Gilson, Claire; Pickering, Andrew 28 1995 Multicomponent equations associated to non-isospectral scattering problems. Zbl 0889.35094 Clarkson, Peter A.; Gordoa, Pilar R.; Pickering, Andrew 28 1997 Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems. Zbl 1112.37069 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 23 2006 On a new non-isospectral variant of the Boussinesq hierarchy. Zbl 0963.37067 Gordoa, Pilar R.; Pickering, Andrew 20 2000 A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions. Zbl 1111.34025 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 19 2005 New integrable lattice hierarchies. Zbl 1195.37040 Pickering, Andrew; Zhu, Zuo-Nong 18 2006 The singular manifold method revisited. Zbl 0863.35099 Pickering, Andrew 17 1996 New \(2+1\) dimensional nonisospectral Toda lattice hierarchy. Zbl 1121.37061 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 16 2007 Coalescence limits for higher order Painlevé equations. Zbl 0997.34084 Pickering, Andrew 15 2002 The mangle of practice: time, agency, and science. Zbl 0834.01019 Pickering, Andrew 14 1995 Factorization of the ‘classical Boussinesq’ system. Zbl 0837.35121 Conte, Robert; Musette, Micheline; Pickering, Andrew 13 1994 Painlevé hierarchies and the Painlevé test. Zbl 1178.37088 Pickering, A. 13 2003 Bäcklund transformations for fourth Painlevé hierarchies. Zbl 1080.34073 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 12 2005 Bäcklund transformations for a matrix second Painlevé equation. Zbl 1238.34155 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 11 2010 Bäcklund transformations for a discrete second Painlevé hierarchy. Zbl 1200.39007 Pickering, Andrew 11 2009 Non-isospectral lattice hierarchies in \(2+1\) dimensions and generalized discrete Painlevé hierarchies. Zbl 1085.37053 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 11 2005 A \(2 + 1\) non-isospectral integrable lattice hierarchy related to a generalized discrete second Painlevé hierarchy. Zbl 1142.37369 Gordoa, Pilar R.; Pickering, Andrew; Zhu, Zuo-Nong 11 2006 On matrix Painlevé hierarchies. Zbl 1352.34116 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 10 2016 The Weiss-Tabor-Carnevale Painlevé test and Burgers’ hierarchy. Zbl 0811.35130 Pickering, Andrew 9 1994 Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation. Zbl 1290.37031 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 9 2013 The two-singular manifold method. II: Classical Boussinesq system. Zbl 0856.35113 Conte, R.; Musette, M.; Pickering, A. 8 1995 Integration via modification: a method of reduction of order for systems of ordinary differential equations. Zbl 1120.34027 Gordoa, Pilar Ruiz; Pickering, Andrew; Prada, Julia 8 2006 On the continuum limit for a semidiscrete Hirota equation. Zbl 1371.35275 Pickering, Andrew; Zhao, Hai-qiong; Zhu, Zuo-nong 8 2016 On the nesting of Painlevé hierarchies: a Hamiltonian approach. Zbl 1264.37028 Pickering, A. 8 2012 A method of reduction of order for discrete systems. Zbl 1187.37110 Gordoa, P. R.; Pickering, A. 7 2009 Darboux-Bäcklund transformation and explicit solutions to a hybrid lattice of the relativistic Toda lattice and the modified Toda lattice. Zbl 1331.37102 Pickering, Andrew; Zhu, Zuo-nong 7 2014 A note on the generalized symmetries of lattice hierarchies. Zbl 1221.37148 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 6 2009 A new derivation of Painlevé hierarchies. Zbl 1243.35144 Gordoa, P. R.; Pickering, A. 6 2011 On an extended second Painlevé hierarchy. Zbl 1372.34135 Gordoa, P. R.; Pickering, A. 6 2017 Mappings preserving locations of movable poles: A new extension of the truncation method to ordinary differential equations. Zbl 0945.34073 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 5 1999 Bäcklund transformations for a new extended Painlevé hierarchy. Zbl 1524.34227 Gordoa, P. R.; Pickering, Andrew 5 2019 Dirichlet series for quasilinear partial differential equations. Zbl 1178.35124 Pickering, A. 4 2003 A perturbative extension of the Painlevé test. Zbl 0786.35111 Conte, R.; Fordy, A. P.; Pickering, A. 4 1993 Auto-Bäcklund transformations for a matrix partial differential equation. Zbl 1396.39019 Gordoa, P. R.; Pickering, A. 4 2018 Bäcklund transformations for new fourth Painlevé hierarchies. Zbl 1470.35013 Conde, J. M.; Gordoa, Pilar R.; Pickering, A. 4 2014 Behaviour of the extended Volterra lattice. Zbl 1470.35313 Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D. 4 2014 Integrable lattice hierarchies associated with two new (2+1)-dimensional discrete spectral problems. Zbl 1234.37048 Pickering, Andrew; Zhu, Zuo-Nong 3 2009 Rational and special solutions of the \(P_{II}\) hierarchy. Zbl 0982.34076 Kudryashov, Nicolai A.; Pickering, Andrew 3 2000 Mappings preserving locations of movable poles: II. The third and fifth Painlevé equations. Zbl 1008.33012 Gordoa, P. R.; Joshi, N.; Pickering, A. 3 2001 Truncation-type methods and Bäcklund transformations for ordinary differential equations: The third and fifth Painlevé equations. Zbl 0995.34079 Gordoa, P. R.; Joshi, N.; Pickering, A. 3 2001 New integrable equations of fourth order and higher degree related to Cosgrove’s equation. Zbl 1016.34090 Gordoa, Pilar R.; Pickering, Andrew 3 2001 Integrability properties of a generalized reduction of the KdV6 equation. Zbl 1244.35124 Gordoa, P. R.; Pickering, A.; Prada, J. 3 2011 Nonisospectral scattering problems and similarity reductions. Zbl 1334.37088 Gordoa, P. R.; Pickering, A.; Wattis, J. A. D. 3 2014 Auto-Bäcklund transformations and integrability of ordinary and partial differential equations. Zbl 1309.34145 Conde, Juan M.; Gordoa, Pilar R.; Pickering, Andrew 3 2010 Matrix semidiscrete Ablowitz-Ladik equation hierarchy and a matrix discrete second Painlevé equation. Zbl 1310.37032 Gordoa, Pilar R.; Pickering, Andrew; Zhu, Zuo-Nong 3 2010 Auto-Bäcklund transformations for a differential-delay equation. Zbl 1287.34051 Gordoa, Pilar R.; Pickering, Andrew 3 2013 The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases. Zbl 1451.37086 Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D. 3 2019 Generalized scaling reductions and Painlevé hierarchies. Zbl 1293.35278 Gordoa, P. R.; Muğan, U.; Pickering, A. 3 2013 Auto-Bäcklund transformations and special integrals for differential-delay Painlevé hierarchies. Zbl 1470.37092 Fedorov, Yuri; Gordoa, Pilar R.; Pickering, Andrew 3 2014 Combined breathing-kink modes in the FPU lattice. Zbl 1208.37042 Wattis, Jonathan A. D.; Pickering, Andrew; Gordoa, Pilar R. 2 2011 A note on the Painlevé analysis of a \((2+1)\)-dimensional Camassa-Holm equation. Zbl 1099.35097 Gordoa, P. R.; Pickering, A.; Senthilvelan, M. 2 2006 The Cauchy problem for the second member of a P\(_{\text{IV}} \) hierarchy. Zbl 1185.34136 Mugan, U.; Pickering, A. 2 2009 A note on logarithms in the Painlevé test. Zbl 0871.35092 Pickering, Andrew 2 1997 On the identification of integrable equations using Dirichlet series. Zbl 1032.37049 Pickering, Andrew 2 2002 On matrix fourth Painlevé hierarchies. Zbl 1466.34080 Gordoa, P. R.; Pickering, Andrew 2 2021 Weak perturbative Painlevé analysis and descending series solutions. Zbl 0972.34502 Pickering, Andrew 1 1996 Concepts and the mangle of practice constructing quaternions. Zbl 1163.00305 Pickering, Andrew 1 2006 Integrable hierarchies: Painlevé indices and compatibility conditions. Zbl 0850.35102 Pickering, A. 1 1994 A new technique in nonlinear singularity analysis. Zbl 1058.34124 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 1 2003 Psychiatry, synthetic brains and cybernetics in the work of W. Ross Ashby. Zbl 1159.93308 Pickering, Andrew 1 2009 Bäcklund transformations for higher order Painlevé equations. Zbl 1080.34072 Gordoa, P. R.; Muğan, U.; Pickering, A.; Sakka, A. 1 2004 Exact solutions of a novel integrable partial differential equation. Zbl 1255.35022 Conde, Juan M.; Gordoa, Pilar R.; Pickering, Andrew 1 2012 The Prelle-Singer method and Painlevé hierarchies. Zbl 1305.37036 Gordoa, P. R.; Pickering, A.; Senthilvelan, M. 1 2014 Non-isospectral scattering problems: Painlevé truncation for hierarchies. Zbl 1027.37041 Gordoa, Pilar Ruiz; Pickering, Andrew 1 2003 Equivalence and finite time blow-up of solutions and interfaces for two nonlinear diffusion equations. Zbl 1427.35142 Hernández-Bermejo, Benito; Iagar, Razvan Gabriel; Gordoa, Pilar R.; Pickering, Andrew; Sánchez, Ariel 1 2020 Behaviour of the extended modified Volterra lattice-reductions to generalised mKdV and NLS equations. Zbl 1508.35136 Wattis, Jonathan A. D.; Gordoa, Pilar R.; Pickering, Andrew 1 2018 A special solution technique: further extensions. Zbl 1282.34099 Pickering, Andrew 1 2012 Integrability and asymptotic behaviour of a differential-difference matrix equation. Zbl 1493.37087 Gordoa, Pilar R.; Pickering, Andrew; Wattis, Jonathan A. D. 1 2021 On matrix fourth Painlevé hierarchies. Zbl 1466.34080 Gordoa, P. R.; Pickering, Andrew 2 2021 Integrability and asymptotic behaviour of a differential-difference matrix equation. Zbl 1493.37087 Gordoa, Pilar R.; Pickering, Andrew; Wattis, Jonathan A. D. 1 2021 Equivalence and finite time blow-up of solutions and interfaces for two nonlinear diffusion equations. Zbl 1427.35142 Hernández-Bermejo, Benito; Iagar, Razvan Gabriel; Gordoa, Pilar R.; Pickering, Andrew; Sánchez, Ariel 1 2020 Bäcklund transformations for a new extended Painlevé hierarchy. Zbl 1524.34227 Gordoa, P. R.; Pickering, Andrew 5 2019 The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases. Zbl 1451.37086 Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D. 3 2019 Auto-Bäcklund transformations for a matrix partial differential equation. Zbl 1396.39019 Gordoa, P. R.; Pickering, A. 4 2018 Behaviour of the extended modified Volterra lattice-reductions to generalised mKdV and NLS equations. Zbl 1508.35136 Wattis, Jonathan A. D.; Gordoa, Pilar R.; Pickering, Andrew 1 2018 On an extended second Painlevé hierarchy. Zbl 1372.34135 Gordoa, P. R.; Pickering, A. 6 2017 On matrix Painlevé hierarchies. Zbl 1352.34116 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 10 2016 On the continuum limit for a semidiscrete Hirota equation. Zbl 1371.35275 Pickering, Andrew; Zhao, Hai-qiong; Zhu, Zuo-nong 8 2016 Darboux-Bäcklund transformation and explicit solutions to a hybrid lattice of the relativistic Toda lattice and the modified Toda lattice. Zbl 1331.37102 Pickering, Andrew; Zhu, Zuo-nong 7 2014 Bäcklund transformations for new fourth Painlevé hierarchies. Zbl 1470.35013 Conde, J. M.; Gordoa, Pilar R.; Pickering, A. 4 2014 Behaviour of the extended Volterra lattice. Zbl 1470.35313 Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D. 4 2014 Nonisospectral scattering problems and similarity reductions. Zbl 1334.37088 Gordoa, P. R.; Pickering, A.; Wattis, J. A. D. 3 2014 Auto-Bäcklund transformations and special integrals for differential-delay Painlevé hierarchies. Zbl 1470.37092 Fedorov, Yuri; Gordoa, Pilar R.; Pickering, Andrew 3 2014 The Prelle-Singer method and Painlevé hierarchies. Zbl 1305.37036 Gordoa, P. R.; Pickering, A.; Senthilvelan, M. 1 2014 Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation. Zbl 1290.37031 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 9 2013 Auto-Bäcklund transformations for a differential-delay equation. Zbl 1287.34051 Gordoa, Pilar R.; Pickering, Andrew 3 2013 Generalized scaling reductions and Painlevé hierarchies. Zbl 1293.35278 Gordoa, P. R.; Muğan, U.; Pickering, A. 3 2013 On the nesting of Painlevé hierarchies: a Hamiltonian approach. Zbl 1264.37028 Pickering, A. 8 2012 Exact solutions of a novel integrable partial differential equation. Zbl 1255.35022 Conde, Juan M.; Gordoa, Pilar R.; Pickering, Andrew 1 2012 A special solution technique: further extensions. Zbl 1282.34099 Pickering, Andrew 1 2012 A new derivation of Painlevé hierarchies. Zbl 1243.35144 Gordoa, P. R.; Pickering, A. 6 2011 Integrability properties of a generalized reduction of the KdV6 equation. Zbl 1244.35124 Gordoa, P. R.; Pickering, A.; Prada, J. 3 2011 Combined breathing-kink modes in the FPU lattice. Zbl 1208.37042 Wattis, Jonathan A. D.; Pickering, Andrew; Gordoa, Pilar R. 2 2011 Bäcklund transformations for a matrix second Painlevé equation. Zbl 1238.34155 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 11 2010 Auto-Bäcklund transformations and integrability of ordinary and partial differential equations. Zbl 1309.34145 Conde, Juan M.; Gordoa, Pilar R.; Pickering, Andrew 3 2010 Matrix semidiscrete Ablowitz-Ladik equation hierarchy and a matrix discrete second Painlevé equation. Zbl 1310.37032 Gordoa, Pilar R.; Pickering, Andrew; Zhu, Zuo-Nong 3 2010 Bäcklund transformations for a discrete second Painlevé hierarchy. Zbl 1200.39007 Pickering, Andrew 11 2009 A method of reduction of order for discrete systems. Zbl 1187.37110 Gordoa, P. R.; Pickering, A. 7 2009 A note on the generalized symmetries of lattice hierarchies. Zbl 1221.37148 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 6 2009 Integrable lattice hierarchies associated with two new (2+1)-dimensional discrete spectral problems. Zbl 1234.37048 Pickering, Andrew; Zhu, Zuo-Nong 3 2009 The Cauchy problem for the second member of a P\(_{\text{IV}} \) hierarchy. Zbl 1185.34136 Mugan, U.; Pickering, A. 2 2009 Psychiatry, synthetic brains and cybernetics in the work of W. Ross Ashby. Zbl 1159.93308 Pickering, Andrew 1 2009 New \(2+1\) dimensional nonisospectral Toda lattice hierarchy. Zbl 1121.37061 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 16 2007 Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems. Zbl 1112.37069 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 23 2006 New integrable lattice hierarchies. Zbl 1195.37040 Pickering, Andrew; Zhu, Zuo-Nong 18 2006 A \(2 + 1\) non-isospectral integrable lattice hierarchy related to a generalized discrete second Painlevé hierarchy. Zbl 1142.37369 Gordoa, Pilar R.; Pickering, Andrew; Zhu, Zuo-Nong 11 2006 Integration via modification: a method of reduction of order for systems of ordinary differential equations. Zbl 1120.34027 Gordoa, Pilar Ruiz; Pickering, Andrew; Prada, Julia 8 2006 A note on the Painlevé analysis of a \((2+1)\)-dimensional Camassa-Holm equation. Zbl 1099.35097 Gordoa, P. R.; Pickering, A.; Senthilvelan, M. 2 2006 Concepts and the mangle of practice constructing quaternions. Zbl 1163.00305 Pickering, Andrew 1 2006 A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions. Zbl 1111.34025 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 19 2005 Bäcklund transformations for fourth Painlevé hierarchies. Zbl 1080.34073 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 12 2005 Non-isospectral lattice hierarchies in \(2+1\) dimensions and generalized discrete Painlevé hierarchies. Zbl 1085.37053 Gordoa, P. R.; Pickering, A.; Zhu, Z. N. 11 2005 Bäcklund transformations for higher order Painlevé equations. Zbl 1080.34072 Gordoa, P. R.; Muğan, U.; Pickering, A.; Sakka, A. 1 2004 Painlevé hierarchies and the Painlevé test. Zbl 1178.37088 Pickering, A. 13 2003 Dirichlet series for quasilinear partial differential equations. Zbl 1178.35124 Pickering, A. 4 2003 A new technique in nonlinear singularity analysis. Zbl 1058.34124 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 1 2003 Non-isospectral scattering problems: Painlevé truncation for hierarchies. Zbl 1027.37041 Gordoa, Pilar Ruiz; Pickering, Andrew 1 2003 Coalescence limits for higher order Painlevé equations. Zbl 0997.34084 Pickering, Andrew 15 2002 On the identification of integrable equations using Dirichlet series. Zbl 1032.37049 Pickering, Andrew 2 2002 On a generalized \(2+1\) dispersive water wave hierarchy. Zbl 0997.35094 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 33 2001 Mappings preserving locations of movable poles: II. The third and fifth Painlevé equations. Zbl 1008.33012 Gordoa, P. R.; Joshi, N.; Pickering, A. 3 2001 Truncation-type methods and Bäcklund transformations for ordinary differential equations: The third and fifth Painlevé equations. Zbl 0995.34079 Gordoa, P. R.; Joshi, N.; Pickering, A. 3 2001 New integrable equations of fourth order and higher degree related to Cosgrove’s equation. Zbl 1016.34090 Gordoa, Pilar R.; Pickering, Andrew 3 2001 On a new non-isospectral variant of the Boussinesq hierarchy. Zbl 0963.37067 Gordoa, Pilar R.; Pickering, Andrew 20 2000 Rational and special solutions of the \(P_{II}\) hierarchy. Zbl 0982.34076 Kudryashov, Nicolai A.; Pickering, Andrew 3 2000 Nonisospectral scattering problems: A key to integrable hierarchies. Zbl 1063.37544 Gordoa, Pilar R.; Pickering, Andrew 47 1999 Bäcklund transformations for the second Painlevé hierarchy: A modified truncation approach. Zbl 0923.35170 Clarkson, Peter A.; Joshi, Nalini; Pickering, Andrew 46 1999 Mappings preserving locations of movable poles: A new extension of the truncation method to ordinary differential equations. Zbl 0945.34073 Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew 5 1999 Rational solutions for Schwarzian integrable hierarchies. Zbl 0985.37073 Kudryashov, Nicolai A.; Pickering, Andrew 29 1998 Multicomponent equations associated to non-isospectral scattering problems. Zbl 0889.35094 Clarkson, Peter A.; Gordoa, Pilar R.; Pickering, Andrew 28 1997 A note on logarithms in the Painlevé test. Zbl 0871.35092 Pickering, Andrew 2 1997 The singular manifold method revisited. Zbl 0863.35099 Pickering, Andrew 17 1996 Weak perturbative Painlevé analysis and descending series solutions. Zbl 0972.34502 Pickering, Andrew 1 1996 Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations. Zbl 0830.35127 Gilson, Claire; Pickering, Andrew 28 1995 The mangle of practice: time, agency, and science. Zbl 0834.01019 Pickering, Andrew 14 1995 The two-singular manifold method. II: Classical Boussinesq system. Zbl 0856.35113 Conte, R.; Musette, M.; Pickering, A. 8 1995 Factorization of the ‘classical Boussinesq’ system. Zbl 0837.35121 Conte, Robert; Musette, Micheline; Pickering, Andrew 13 1994 The Weiss-Tabor-Carnevale Painlevé test and Burgers’ hierarchy. Zbl 0811.35130 Pickering, Andrew 9 1994 Integrable hierarchies: Painlevé indices and compatibility conditions. Zbl 0850.35102 Pickering, A. 1 1994 A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011 Conte, Robert; Fordy, Allan P.; Pickering, Andrew 40 1993 A new truncation in Painlevé analysis. Zbl 0803.35131 Pickering, Andrew 35 1993 A perturbative extension of the Painlevé test. Zbl 0786.35111 Conte, R.; Fordy, A. P.; Pickering, A. 4 1993 all cited Publications top 5 cited Publications all top 5 Cited by 425 Authors 40 Pickering, Andrew 34 Gordoa, Pilar Ruiz 15 Conte, Robert Maurice 15 Kudryashov, Nikolaĭ Alekseevich 11 Musette, Micheline 10 Zhu, Zuonong 9 Estévez, Pilar G. 9 Xu, Xixiang 8 Yu, Fajun 7 Clarkson, Peter A. 7 Gromak, Valeriĭ Ivanovich 7 Joshi, Nalini 6 Hone, Andrew N. W. 5 Fan, Fangcheng 5 Li, Nianhua 5 Wattis, Jonathan A. D. 5 Zhang, Hongqing 5 Zhang, Yufeng 4 Błaszak, Maciej 4 Bobrova, Irina 4 Luo, Lin 4 Ma, LiYuan 4 Mugan, Ugurhan 4 Prada, Julia 4 Wen, Xiaoyong 4 Xu, Zhiguo 3 Adler, Vsevolod Eduardovich 3 Conde, Juan M. 3 Hu, Xingbiao 3 Kawai, Takahiro 3 Kofané, Timoléon Crépin 3 Lou, Senyue 3 Manafian Heris, Jalil 3 Mei, Jianqin 3 Müller-Hoissen, Folkert 3 Shi, Shaoyun 3 Takei, Yoshitsugu 3 Tian, Bo 3 Umeta, Yoko 3 Zenchuk, Alexandre I. 3 Zhang, Lun 3 Zhang, Ning 3 Zhao, Haiqiong 2 Alizadeh, As’ad 2 Anoshin, V. I. 2 Ashok, Sujay K. 2 Beketova, A. D. 2 Bruzón, Maria Santos 2 Chen, Chunli 2 Chen, Xiaomin 2 Chen, Yong 2 Choudhury, Sudipto Roy 2 Dai, Chaoqing 2 Demina, Maria V. 2 Domański, Ziemowit 2 Ehrhardt, Caroline 2 Filipuk, Galina V. 2 Fordy, Allan P. 2 Gandarias Núñez, Maria Luz 2 Gao, Jianwei 2 Goriely, Alain 2 Grundland, Alfred Michel 2 Gupta, Rajesh Kumar 2 Hu, Xiaorui 2 Ibrahim, Rabha Waell 2 Ilhan, Onur Alp 2 Jatkar, Dileep P. 2 Jrad, Fahd 2 Khater, Mostafa M. A. 2 Li, Li 2 Li, Zhibin 2 Ma, Wen-Xiu 2 Marciniak, Krzysztof 2 Marinakis, Vangelis 2 Nan, Zhijie 2 Ng, Tuen-Wai 2 Parusnikova, Anastasia V. 2 Priestley, Thomas J. 2 Raman, Madhusudhan 2 Rezazadeh, Hadi 2 Sardón, Cristina 2 Senthilvelan, Murugaian 2 Sokolov, Vladimir Vyacheslavovich 2 Suleĭmanov, Bulat Irekovich 2 Tian, Chou 2 Tian, Yongbo 2 Valls Anglés, Cláudia 2 Verhoeven, Caroline 2 Wang, Haifeng 2 Wang, Hui 2 White, Leroy 2 Winternitz, Pavel 2 Wu, Chengfa 2 Xu, Guiqiong 2 Xu, Shuaixia 2 Yang, Hongwei 2 Yang, Hongxiang 2 Yearworth, Mike 2 Yomba, Emmanuel 2 Yong, Xuelin ...and 325 more Authors all top 5 Cited in 90 Serials 36 Journal of Mathematical Physics 18 Journal of Nonlinear Mathematical Physics 17 Theoretical and Mathematical Physics 17 Applied Mathematics and Computation 15 Chaos, Solitons and Fractals 15 Communications in Nonlinear Science and Numerical Simulation 14 Physica D 13 Physics Letters. A 10 Applied Mathematics Letters 8 Studies in Applied Mathematics 7 International Journal of Modern Physics B 7 Differential Equations 7 Advances in Difference Equations 7 Journal of Physics A: Mathematical and Theoretical 6 Modern Physics Letters B 6 European Journal of Operational Research 6 Regular and Chaotic Dynamics 6 Communications in Theoretical Physics 5 Journal of Differential Equations 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Nonlinearity 4 Reports on Mathematical Physics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Nonlinear Dynamics 4 Discrete Dynamics in Nature and Society 3 Communications in Mathematical Physics 3 Computer Physics Communications 3 International Journal of Theoretical Physics 3 Wave Motion 3 Proceedings of the American Mathematical Society 3 Abstract and Applied Analysis 3 Nonlinear Analysis. Real World Applications 2 International Journal of General Systems 2 Journal of Geometry and Physics 2 Journal of the Mathematical Society of Japan 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Japan Academy. Series A 2 Journal of Nonlinear Science 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Mathematical Problems in Engineering 2 Qualitative Theory of Dynamical Systems 2 Waves in Random and Complex Media 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Advances in Mathematical Physics 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Prikladnaya Matematika i Mekhanika 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematics and Computers in Simulation 1 Programming and Computer Software 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Historia Mathematica 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Bulletin des Sciences Mathématiques 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annales Henri Poincaré 1 The ANZIAM Journal 1 Computational Methods and Function Theory 1 North American Actuarial Journal 1 Analysis in Theory and Applications 1 Foundations of Physics 1 Logica Universalis 1 Chinese Journal of Physics (Taipei) 1 Science in Context 1 International Journal of Differential Equations 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Analysis and Mathematical Physics 1 Axioms 1 International Journal of Applied and Computational Mathematics 1 Annals of Applied Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 43 Fields 189 Partial differential equations (35-XX) 186 Dynamical systems and ergodic theory (37-XX) 105 Ordinary differential equations (34-XX) 25 Special functions (33-XX) 23 Difference and functional equations (39-XX) 16 Fluid mechanics (76-XX) 15 Quantum theory (81-XX) 8 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year