| Publication | Date of Publication | Type |
|---|
| Casting light on shadow Somos sequences | 2023-06-16 | Paper |
| Deformations of cluster mutations and invariant presymplectic forms | 2023-05-12 | Paper |
| Similarity reductions of peakon equations: integrable cubic equations | 2023-02-07 | Paper |
| Discrete Hirota reductions associated with the lattice KdV equation | 2023-01-23 | Paper |
| Heron triangles with two rational medians and Somos-5 sequences | 2022-11-17 | Paper |
| Similarity reductions of peakon equations: the $b$-family | 2022-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5018344 | 2021-12-15 | Paper |
| Continued Fractions and Hankel Determinants from Hyperelliptic Curves | 2021-11-25 | Paper |
| Growth of Mahler measure and algebraic entropy of dynamics with the Laurent property | 2021-09-16 | Paper |
| Heron triangles with two rational medians and Somos-5 sequences | 2021-07-07 | Paper |
| Continued fractions for strong Engel series and Lüroth series with signs | 2021-07-05 | Paper |
| Analogues of Kahan's method for higher order equations of higher degree | 2021-03-19 | Paper |
| Efficient ECM factorization in parallel with the lyness map | 2021-01-22 | Paper |
| Linear relations for Laurent polynomials and lattice equations | 2020-11-26 | Paper |
| Remarks on certain two-component systems with peakon solutions | 2020-03-04 | Paper |
| A new class of integrable Lotka-Volterra systems | 2020-02-20 | Paper |
| Efficient ECM factorization in parallel with the Lyness map | 2020-02-05 | Paper |
| ECM factorization with QRT maps | 2020-01-24 | Paper |
| Dynamics of conservative peakons in a system of Popowicz | 2020-01-16 | Paper |
| Continued fractions and irrationality exponents for modified Engel and Pierce series | 2019-10-17 | Paper |
| Properties of the series solution for Painlevé I | 2019-08-29 | Paper |
| On the General Solution of the Heideman–Hogan Family of Recurrences | 2019-08-09 | Paper |
| A Hirota bilinear equation for Painlevé transcendents PIV, PII and PI | 2019-07-31 | Paper |
| Cluster algebras and discrete integrability | 2019-03-19 | Paper |
| On the Neimark–Sacker bifurcation in a discrete predator–prey system | 2018-12-05 | Paper |
| Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties | 2018-11-20 | Paper |
| On a family of sequences related to Chebyshev polynomials | 2018-09-07 | Paper |
| Non-standard discretization of biological models | 2018-06-25 | Paper |
| Generalizations of the short pulse equation | 2018-04-16 | Paper |
| QRT maps and related Laurent systems | 2018-04-06 | Paper |
| Some integrable maps and their Hirota bilinear forms | 2018-03-01 | Paper |
| On reductions of the Hirota-Miwa equation | 2017-08-03 | Paper |
| Differential Geometry and Mathematical Physics | 2017-07-24 | Paper |
| Hierarchies of Difference Equations and Bäcklund Transformations | 2017-05-30 | Paper |
| A New Discrete Hénon-Heiles System | 2017-05-30 | Paper |
| Two-component generalizations of the Camassa–Holm equation | 2017-03-02 | Paper |
| Continued fractions for some transcendental numbers | 2017-01-25 | Paper |
| Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations | 2016-11-02 | Paper |
| Algebraic entropy for algebraic maps | 2016-08-02 | Paper |
| On the continued fraction expansion of certain Engel series | 2016-04-13 | Paper |
| Curious continued fractions, nonlinear recurrences and transcendental numbers | 2015-08-18 | Paper |
| Discrete Painlevé equations from Y-systems | 2014-12-17 | Paper |
| Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system | 2014-12-03 | Paper |
| A family of linearizable recurrences with the Laurent property | 2014-06-06 | Paper |
| Stability of stationary solutions for nonintegrable peakon equations | 2014-05-05 | Paper |
| Discrete integrable systems and Poisson algebras from cluster maps | 2014-01-24 | Paper |
| Nonlinear recurrence sequences and Laurent polynomials | 2012-10-11 | Paper |
| Symplectic maps from cluster algebras | 2012-06-26 | Paper |
| Note on the Poisson structure of the damped oscillator | 2010-08-17 | Paper |
| Analytic solutions and integrability for bilinear recurrences of order six | 2010-05-05 | Paper |
| On the non-integrability of the Popowicz peakon system | 2010-04-12 | Paper |
| Nonintegrability of a fifth-order equation with integrable two-body dynamics | 2010-01-21 | Paper |
| Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation | 2009-11-12 | Paper |
| Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras | 2009-08-27 | Paper |
| Painlevé Tests, Singularity Structure and Integrability | 2009-03-12 | Paper |
| Dodgson condensation, alternating signs and square ice | 2009-01-20 | Paper |
| Rational solutions of the discrete time Toda lattice and the alternate discrete Painlevé II equation | 2008-12-16 | Paper |
| Integrable peakon equations with cubic nonlinearity | 2008-10-08 | Paper |
| Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences | 2008-07-23 | Paper |
| Laurent polynomials and superintegrable maps | 2008-02-27 | Paper |
| Singularity confinement for maps with the Laurent property | 2007-10-15 | Paper |
| Sigma function solution of the initial value problem for Somos 5 sequences | 2007-07-17 | Paper |
| Diophantine non-integrability of a third-order recurrence with the Laurent property | 2006-04-19 | Paper |
| Bilinear recurrences and addition formulae for hyperelliptic sigma functions | 2006-02-17 | Paper |
| Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation | 2005-11-07 | Paper |
| Solutions of Abreu's equation with rotation invariance | 2005-09-27 | Paper |
| ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES | 2005-05-03 | Paper |
| On a functional equation related to the intermediate long wave equation | 2005-03-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4829972 | 2004-12-01 | Paper |
| Prolongation algebras and Hamiltonian operators for peakon equations | 2003-10-06 | Paper |
| Lattice equations and τ-functions for a coupled Painlevé system | 2003-07-02 | Paper |
| An Entire Function Defined by a Nonlinear Recurrence Relation | 2002-10-22 | Paper |
| O(n) invariant solutions of Abreu's equation | 2002-09-11 | Paper |
| Coupled Painlevé systems and quartic potentials | 2001-05-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4517612 | 2001-04-16 | Paper |
| Bäcklund transformations for thesl(2) Gaudin magnet | 2001-01-01 | Paper |
| Reciprocal link for \(2+1\)-dimensional extensions of shallow water equations | 2000-12-04 | Paper |
| Remarks on a variable-coefficient sine-Gordon equation | 2000-11-16 | Paper |
| Exact discretization of the Ermakov-Pinney equation | 2000-07-03 | Paper |
| On the discrete and continuous Miura chain associated with the sixth Painlevé equation | 2000-07-03 | Paper |
| On a Schwarzian PDE associated with the KdV hierarchy | 2000-07-03 | Paper |
| Non-autonomous Hénon-Heiles systems | 2000-06-08 | Paper |
| The associated Camassa-Holm equation and the KdV equation | 2000-04-25 | Paper |
| Bäcklund transformations for many-body systems related to KdV | 2000-04-25 | Paper |
| Reciprocal transformations, Painlevé property and solutions of energy-dependent Schrödinger hierarchies. | 2000-03-08 | Paper |
| Crum transformation and rational solutions of the non-focusing nonlinear Schrödinger equation | 2000-01-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4240408 | 1999-05-03 | Paper |