Ultrasonic Waves in Bubbly Liquids: An Analytic Approach - Gordoa, Pilar Ruiz; Pickering, Andrew; (Mathematics, 2021)

Integrability and asymptotic behaviour of a differential-difference matrix equation - Gordoa, Pilar R.; Pickering, Andrew; Wattis, Jonathan A. D.; (Physica D-Nonlinear Phenomena, 2021)

Equivalence and finite time blow-up of solutions and interfaces for two nonlinear diffusion equations - Hernandez-Berrnejo, Benito; Gabriel Iagar, Razvan; Gordoa, Pilar R.; Pickering, Andrew; Sanchez, Ariel; (Journal Of Mathematical Analysis And Applications, 2020)

The second Painleve equation, a related nonautonomous semidiscrete equation, and a limit to the first Painleve equation: Scalar and matrix cases - Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D.; (Physica D-Nonlinear Phenomena, 2019)

S-Shaped I-V Characteristics of Organic Solar Cells: Solving Mazhari's Lumped-Parameter Equivalent Circuit Model - Romero, Beatriz; del Pozo, Gonzalo; Arredondo, Belen; Martin-Martin, Diego; Gordoa, Maria P. Ruiz; Pickering, Andrew; Perez-Rodriguez, Ana; Barrena, Esther; Garcia-Sanchez, Francisco J.; (Ieee Transactions On Electron Devices, 2017)

Behaviour of the extended Toda lattice - Wattis, Jonathan A. D.; Gordoa, Pilar R.; Pickering, Andrew; (Communications In Nonlinear Science And Numerical Simulation, 2015)

Auto-Backlund transformations and special integrals for differential-delay Painleve hierarchies - Fedorov, Yuri; Gordoa, Pilar R.; Pickering, Andrew; (Communications In Nonlinear Science And Numerical Simulation, 2014)

Nonisospectral scattering problems and similarity reductions - Gordoa, P. R.; Pickering, A.; Wattis, J. A. D.; (Applied Mathematics And Computation, 2014)

Backlund transformations for new fourth Painleve hierarchies - Conde, J. M.; Gordoa, P. R.; Pickering, A.; (Communications In Nonlinear Science And Numerical Simulation, 2014)

Behaviour of the extended Volterra lattice - Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D.; (Communications In Nonlinear Science And Numerical Simulation, 2014)

Generalized scaling reductions and Painleve hierarchies - Gordoa, P. R.; Mugan, U.; Pickering, A.; (Applied Mathematics And Computation, 2013)

A NEW KIND OF BACKLUND TRANSFORMATION FOR PARTIAL DIFFERENTIAL EQUATIONS - Conde, Juan M.; Gordoa, Pilar R.; Pickering, Andrew; (Reports On Mathematical Physics, 2012)

Exact solutions of a novel integrable partial differential equation - Conde, Juan M.; Gordoa, Pilar R.; Pickering, Andrew; (Communications In Nonlinear Science And Numerical Simulation, 2012)

Integrability properties of a generalized reduction of the KdV6 equation - Gordoa, P. R.; Pickering, A.; Prada, J.; (Applied Mathematics And Computation, 2011)

Combined breathing-kink modes in the FPU lattice - Wattis, Jonathan A. D.; Pickering, Andrew; Gordoa, Pilar R.; (Physica D-Nonlinear Phenomena, 2011)

A note on the generalized symmetries of lattice hierarchies - Gordoa, P. R.; Pickering, A.; Zhu, Z. N.; (Journal Of Mathematical Analysis And Applications, 2009)

Second and fourth Painleve hierarchies and Jimbo-Miwa linear problems - Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew; (Journal Of Mathematical Physics, 2006)

Integration via modification: A method of reduction of order for systems of ordinary differential equations - Gordoa, PR; Pickering, A; Prada, J; (Publications Of The Research Institute For Mathematical Sciences, 2006)

Solution classes of the matrix second Painleve hierarchy - Gordoa, P. R.; Pickering, A.; Wattis, J. A. D.; (Physica D-Nonlinear Phenomena, 2022)

On matrix fourth Painleve hierarchies - Gordoa, P. R.; Pickering, A.; (Journal Of Differential Equations, 2021)

Backlund transformations for a new extended Painleve hierarchy - Gordoa, P. R.; Pickering, A.; (Communications In Nonlinear Science And Numerical Simulation, 2019)

Behaviour of the extended modified Volterra lattice-Reductions to generalised mKdV and NLS equations - Wattis, Jonathan A. D.; Gordoa, Pilar R.; Pickering, Andrew; (Communications In Nonlinear Science And Numerical Simulation, 2018)

Auto-Backlund transformations for a matrix partial differential equation - Gordoa, P. R.; Pickering, A.; (Physics Letters a, 2018)

On a sequence of higher-order wave equations - Gordoa, P. R.; Pickering, A.; (Journal Of Mathematical Analysis And Applications, 2018)

On an extended second Painleve hierarchy - Gordoa, P. R.; Pickering, A.; (Journal Of Differential Equations, 2017)

On the continuum limit for a semidiscrete Hirota equation - Pickering, Andrew; Zhao, Hai-qiong; Zhu, Zuo-nong; (Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 2016)

On matrix Painleve hierarchies - Gordoa, P. R.; Pickering, A.; Zhu, Z. N.; (Journal Of Differential Equations, 2016)

The Prelle-Singer method and Painleve hierarchies - Gordoa, P. R.; Pickering, A.; Senthilvelan, M.; (Journal Of Mathematical Physics, 2014)

Darboux-Backlund transformation and explicit solutions to a hybrid lattice of the relativistic Toda lattice and the modified Toda lattice - Pickering, Andrew; Zhu, Zuo-nong; (Physics Letters a, 2014)

Backlund transformation of matrix equations and a discrete matrix first Painleve equation - Gordoa, P. R.; Pickering, A.; Zhu, Z. N.; (Physics Letters a, 2013)

Auto-Backlund transformations for a differential-delay equation - Gordoa, Pilar R.; Pickering, Andrew; (Journal Of Mathematical Physics, 2013)

A special solution technique: Further extensions - Pickering, Andrew; (Applied Mathematics And Computation, 2012)

On the nesting of Painleve hierarchies: A Hamiltonian approach - Pickering, A.; (Chaos Solitons & Fractals, 2012)

Integrability test of a higher-order (2+1)-dimensional KdV-type equation - Gordoa, P. R.; Pickering, A.; (Communications In Nonlinear Science And Numerical Simulation, 2012)

A new derivation of Painleve hierarchies - Gordoa, P. R.; Pickering, A.; (Applied Mathematics And Computation, 2011)

Backlund transformations for a matrix second Painleve equation - Gordoa, P. R.; Pickering, A.; Zhu, Z. N.; (Physics Letters a, 2010)

Matrix semidiscrete Ablowitz-Ladik equation hierarchy and a matrix discrete second Painleve equation - Gordoa, Pilar R.; Pickering, Andrew; Zhu, Zuo-Nong; (Journal Of Mathematical Physics, 2010)

Integrability Test and Travelling-Wave Solutions of Higher-Order Shallow-Water Type Equations - Maldonado, Mercedes; Celeste Molinero, Maria; Pickering, Andrew; Prada, Julia; (Zeitschrift Fur Naturforschung Section A-A Journal Of Physical Sciences, 2010)

Auto-Baumlcklund transformations and integrability of ordinary and partial differential equations - Conde, Juan M.; Gordoa, Pilar R.; Pickering, Andrew; (Journal Of Mathematical Physics, 2010)

Integrable lattice hierarchies associated with two new (2+1)-dimensional discrete spectral problems - Pickering, Andrew; Zhu, Zuo-nong; (Physics Letters a, 2009)

A method of reduction of order for discrete systems - Gordoa, P. R.; Pickering, A.; (Journal Of Mathematical Physics, 2009)

The Cauchy problem for the second member of a P-IV hierarchy - Mugan, U.; Pickering, A.; (Journal Of Physics A-Mathematical And Theoretical, 2009)

Backlund transformations for a discrete second Painleve hierarchy - Pickering, A.; (Journal Of Mathematical Physics, 2009)

New 2+1 dimensional nonisospectral Toda lattice hierarchy - Gordoa, P. R.; Pickering, A.; Zhu, Z. N.; (Journal Of Mathematical Physics, 2007)

A 2+1 non-isospectral integrable lattice hierarchy related to a generalized discrete second Painleve' hierarchy - Gordoa, Pilar R.; Pickering, Andrew; Zhu, Zuo-nong; (Chaos Solitons & Fractals, 2006)

A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation - Gordoa, PR; Pickering, A; Senthilvelan, M; (Chaos Solitons & Fractals, 2006)

New integrable lattice hierarchies - Pickering, A; Zhu, ZN; (Physics Letters a, 2006)

Generalized Halphen systems - Joshi, Nalini; Pickering, Andrew; (Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics, 2006)

Non-isospectral lattice hierarchies in 2+1 dimensions and generalized discrete Painleve hierarchies - Gordoa, PR; Pickering, A; Zhu, ZN (Journal Of Nonlinear Mathematical Physics, 2005)

A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions - Gordoa, PR; Pickering, A; Zhu, ZN; (Journal Of Mathematical Physics, 2005)

Dirichlet series and the integrability of multilinear differential equations - Pickering, A; Prada, J; (Journal Of Mathematical Physics, 2005)

Non-isospectral scattering problems and truncation for hierarchies: Burgers and dispersive water waves - Gordoa, PR; Pickering, A; Prada, J; (Physica A-Statistical Mechanics And Its Applications, 2005)

Backlund transformations for higher order Painleve equations - Gordoa, PR; Mugan, U; Pickering, A; Sakka, A; (Chaos Solitons & Fractals, 2004)

Evidence for the nonintegrability of a water wave equation in 2+1 dimensions - Gordoa, PR; Pickering, A; Senthilvelan, M; (Zeitschrift Fur Naturforschung Section A-A Journal Of Physical Sciences, 2004)

Painleve hierarchies and the Painleve test - Pickering, A; (Theoretical And Mathematical Physics, 2003)

A new technique in nonlinear singularity analysis - Gordoa, PR; Joshi, N; Pickering, A; (Publications Of The Research Institute For Mathematical Sciences, 2003)

Non-isospectral scattering problems: Painleve truncation for hierarchies - Gordoa, PR; Pickering, A; (Physics Letters a, 2003)

Dirichlet series for quasilinear partial differential equations - Pickering, A; (Theoretical And Mathematical Physics, 2003)

On the identification of integrable equations using Dirichlet series - Pickering, A; (Progress Of Theoretical Physics, 2002)

Coalescence limits for higher order Painleve equations - Pickering, A; (Physics Letters a, 2002)

On a generalized 2+1 dispersive water wave hierarchy - Gordoa, PR; Joshi, N; Pickering, A; (Publications Of The Research Institute For Mathematical Sciences, 2001)

Truncation-type methods and Backlund transformations for ordinary differential equations: The third and fifth Painleve equations - Gordoa, PR; Joshi, N; Pickering, A; (Glasgow Mathematical Journal, 2001)

Mappings preserving locations of movable poles: II. The third and fifth Painleve equations - Gordoa, PR; Joshi, N; Pickering, A; (Nonlinearity, 2001)

New Backlund transformations for the third and fourth Painleve equations to equations of second order and higher degree - Gordoa, PR; Pickering, A; (Physics Letters a, 2001)

New integrable equations of fourth order and higher degree related to Cosgrove's equation - Gordoa, PR; Pickering, A; (Journal Of Mathematical Physics, 2001)

On a new non-isospectral variant of the Boussinesq hierarchy - Gordoa, PR; Pickering, A; (Journal Of Physics A-Mathematical And General, 2000)

Nonisospectral scattering problems: A key to integrable hierarchies - Gordoa, PR; Pickering, A; (Journal Of Mathematical Physics, 1999)

Backlund transformations for two new integrable partial differential equations - Gordoa, PR; Pickering, A; (Epl, 1999)

Mappings preserving locations of movable poles: a new extension of the truncation method to ordinary differential equations - Gordoa, PR; Joshi, N; Pickering, A; (Nonlinearity, 1999)

Backlund transformations for the second Painleve hierarchy: a modified truncation approach - Clarkson, PA; Joshi, N; Pickering, A; (Inverse Problems, 1999)

Rational solutions for Schwarzian integrable hierarchies - Kudryashov, NA; Pickering, A; (Journal Of Physics A-Mathematical And General, 1998)

Multicomponent equations associated to non-isospectral scattering problems - Clarkson, PA; Gordoa, PR; Pickering, A; (Inverse Problems, 1997)

A note on logarithms in the Painleve test - Pickering, A; (Inverse Problems, 1997)

Weak perturbative Painleve analysis and descending series solutions - Pickering, A; (Physics Letters a, 1996)

The singular manifold method revisited - Pickering, A; (Journal Of Mathematical Physics, 1996)

FACTORIZATION AND PAINLEVE ANALYSIS OF A CLASS OF NONLINEAR 3RD-ORDER PARTIAL-DIFFERENTIAL EQUATIONS - GILSON, C; PICKERING, A; (Journal Of Physics A-Mathematical And General, 1995)

THE 2-SINGULAR MANIFOLD METHOD .2. CLASSICAL BOUSSINESQ SYSTEM - CONTE, R; MUSETTE, M; PICKERING, A; (Journal Of Physics A-Mathematical And General, 1995)

INTEGRABLE HIERARCHIES - PAINLEVE INDEXES AND COMPATIBILITY CONDITIONS - PICKERING, A; (Theoretical And Mathematical Physics, 1994)

FACTORIZATION OF THE CLASSICAL BOUSSINESQ SYSTEM - CONTE, R; MUSETTE, M; PICKERING, A; (Journal Of Physics A-Mathematical And General, 1994)

THE WEISS-TABOR-CARNEVALE PAINLEVE TEST AND BURGERS HIERARCHY - PICKERING, A; (Journal Of Mathematical Physics, 1994)

A PERTURBATIVE PAINLEVE APPROACH TO NONLINEAR DIFFERENTIAL-EQUATIONS - CONTE, R; FORDY, AP; PICKERING, A; (Physica D-Nonlinear Phenomena, 1993)

A NEW TRUNCATION IN PAINLEVE ANALYSIS - PICKERING, A; (Journal Of Physics A-Mathematical And General, 1993)

ANALYZING NEGATIVE RESONANCES IN THE PAINLEVE TEST - FORDY, A; PICKERING, A; (Physics Letters a, 1991)

Backlund transformations for fourth Painleve hierarchies - Gordoa, PR; Joshi, N; Pickering, A; (Journal Of Differential Equations, 2005)

Novel Backlund Transformations for Integrable Equations - Gordoa, Pilar Ruiz; Pickering, Andrew; (Mathematics, 2022)