Andrew N. W. Hone

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Person:266609

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zbMath Open hone.andrew-n-wWikidataQ61849638 ScholiaQ61849638MaRDI QIDQ266609

List of research outcomes

PublicationDate of PublicationType
Casting light on shadow Somos sequences2023-06-16Paper
Deformations of cluster mutations and invariant presymplectic forms2023-05-12Paper
Similarity reductions of peakon equations: integrable cubic equations2023-02-07Paper
Discrete Hirota reductions associated with the lattice KdV equation2023-01-23Paper
Heron triangles with two rational medians and Somos-5 sequences2022-11-17Paper
Similarity reductions of peakon equations: the $b$-family2022-01-01Paper
https://portal.mardi4nfdi.de/entity/Q50183442021-12-15Paper
Continued Fractions and Hankel Determinants from Hyperelliptic Curves2021-11-25Paper
Growth of Mahler measure and algebraic entropy of dynamics with the Laurent property2021-09-16Paper
Heron triangles with two rational medians and Somos-5 sequences2021-07-07Paper
Continued fractions for strong Engel series and Lüroth series with signs2021-07-05Paper
Analogues of Kahan's method for higher order equations of higher degree2021-03-19Paper
Efficient ECM factorization in parallel with the lyness map2021-01-22Paper
Linear relations for Laurent polynomials and lattice equations2020-11-26Paper
Remarks on certain two-component systems with peakon solutions2020-03-04Paper
A new class of integrable Lotka-Volterra systems2020-02-20Paper
Efficient ECM factorization in parallel with the Lyness map2020-02-05Paper
ECM factorization with QRT maps2020-01-24Paper
Dynamics of conservative peakons in a system of Popowicz2020-01-16Paper
Continued fractions and irrationality exponents for modified Engel and Pierce series2019-10-17Paper
Properties of the series solution for Painlevé I2019-08-29Paper
On the General Solution of the Heideman–Hogan Family of Recurrences2019-08-09Paper
A Hirota bilinear equation for Painlevé transcendents PIV, PII and PI2019-07-31Paper
Cluster algebras and discrete integrability2019-03-19Paper
On the Neimark–Sacker bifurcation in a discrete predator–prey system2018-12-05Paper
Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties2018-11-20Paper
On a family of sequences related to Chebyshev polynomials2018-09-07Paper
Non-standard discretization of biological models2018-06-25Paper
Generalizations of the short pulse equation2018-04-16Paper
QRT maps and related Laurent systems2018-04-06Paper
Some integrable maps and their Hirota bilinear forms2018-03-01Paper
On reductions of the Hirota-Miwa equation2017-08-03Paper
Differential Geometry and Mathematical Physics2017-07-24Paper
Hierarchies of Difference Equations and Bäcklund Transformations2017-05-30Paper
A New Discrete Hénon-Heiles System2017-05-30Paper
Two-component generalizations of the Camassa–Holm equation2017-03-02Paper
Continued fractions for some transcendental numbers2017-01-25Paper
Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations2016-11-02Paper
Algebraic entropy for algebraic maps2016-08-02Paper
On the continued fraction expansion of certain Engel series2016-04-13Paper
Curious continued fractions, nonlinear recurrences and transcendental numbers2015-08-18Paper
Discrete Painlevé equations from Y-systems2014-12-17Paper
Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system2014-12-03Paper
A family of linearizable recurrences with the Laurent property2014-06-06Paper
Stability of stationary solutions for nonintegrable peakon equations2014-05-05Paper
Discrete integrable systems and Poisson algebras from cluster maps2014-01-24Paper
Nonlinear recurrence sequences and Laurent polynomials2012-10-11Paper
Symplectic maps from cluster algebras2012-06-26Paper
Note on the Poisson structure of the damped oscillator2010-08-17Paper
Analytic solutions and integrability for bilinear recurrences of order six2010-05-05Paper
On the non-integrability of the Popowicz peakon system2010-04-12Paper
Nonintegrability of a fifth-order equation with integrable two-body dynamics2010-01-21Paper
Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation2009-11-12Paper
Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras2009-08-27Paper
Painlevé Tests, Singularity Structure and Integrability2009-03-12Paper
Dodgson condensation, alternating signs and square ice2009-01-20Paper
Rational solutions of the discrete time Toda lattice and the alternate discrete Painlevé II equation2008-12-16Paper
Integrable peakon equations with cubic nonlinearity2008-10-08Paper
Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences2008-07-23Paper
Laurent polynomials and superintegrable maps2008-02-27Paper
Singularity confinement for maps with the Laurent property2007-10-15Paper
Sigma function solution of the initial value problem for Somos 5 sequences2007-07-17Paper
Diophantine non-integrability of a third-order recurrence with the Laurent property2006-04-19Paper
Bilinear recurrences and addition formulae for hyperelliptic sigma functions2006-02-17Paper
Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation2005-11-07Paper
Solutions of Abreu's equation with rotation invariance2005-09-27Paper
ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES2005-05-03Paper
On a functional equation related to the intermediate long wave equation2005-03-08Paper
https://portal.mardi4nfdi.de/entity/Q48299722004-12-01Paper
Prolongation algebras and Hamiltonian operators for peakon equations2003-10-06Paper
Lattice equations and τ-functions for a coupled Painlevé system2003-07-02Paper
An Entire Function Defined by a Nonlinear Recurrence Relation2002-10-22Paper
O(n) invariant solutions of Abreu's equation2002-09-11Paper
Coupled Painlevé systems and quartic potentials2001-05-16Paper
https://portal.mardi4nfdi.de/entity/Q45176122001-04-16Paper
Bäcklund transformations for thesl(2) Gaudin magnet2001-01-01Paper
Reciprocal link for \(2+1\)-dimensional extensions of shallow water equations2000-12-04Paper
Remarks on a variable-coefficient sine-Gordon equation2000-11-16Paper
Exact discretization of the Ermakov-Pinney equation2000-07-03Paper
On the discrete and continuous Miura chain associated with the sixth Painlevé equation2000-07-03Paper
On a Schwarzian PDE associated with the KdV hierarchy2000-07-03Paper
Non-autonomous Hénon-Heiles systems2000-06-08Paper
The associated Camassa-Holm equation and the KdV equation2000-04-25Paper
Bäcklund transformations for many-body systems related to KdV2000-04-25Paper
Reciprocal transformations, Painlevé property and solutions of energy-dependent Schrödinger hierarchies.2000-03-08Paper
Crum transformation and rational solutions of the non-focusing nonlinear Schrödinger equation2000-01-20Paper
https://portal.mardi4nfdi.de/entity/Q42404081999-05-03Paper

Research outcomes over time


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