subject area of

• 10E9solution to the elliptic Painlev  equation  Academic Article
• A Generalization of Szebehely's Inverse Problem of Dynamics  Academic Article
• A canonical reduction of order for the Kepler problem  Academic Article
• A general Raychaudhuri’s equation for second-order differential equations  Academic Article
• A generalization of Szebehely's inverse problem of dynamics in dimension three  Academic Article
• A generalization of determinant formulae for the solutions of Painlevé II and XXXIV equations  Academic Article
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics  Academic Article
• A new class of energy-preserving numerical integration methods  Academic Article
• A novelnth order difference equation that may be integrable  Academic Article
• A remark on the Hankel determinant formula for solutions of the Toda equation  Academic Article
• A study on the fourthq-Painlevé equation  Academic Article
• A universal Hamilton-Jacobi equation for second-order ODEs  Academic Article
• Adjoint symmetries for time-dependent second-order equations  Academic Article
• Algebraic quantisation with indefinite metric  Academic Article
• Alternative Lagrangians for spherically symmetric potentials  Academic Article
• Alternative kinetic energy metrics for Lagrangian systems  Academic Article
• An EDS approach to the inverse problem in the calculus of variations  Academic Article
• An exact universal amplitude ratio for percolation  Academic Article
• An integrating factor matrix method to find first integrals  Academic Article
• Bilinear discrete Painleve-II and its particular solutions  Academic Article
• Bilinearization of discrete soliton equations through the singularity confinement test  Academic Article
• Call for papers: special issue on fifty years of the Toda lattice  Editorial Article
• Casorati determinant solution for the relativistic Toda lattice equation  Academic Article
• Casorati determinant solutions for the discrete Painleve-II equation  Academic Article
• Casorati determinant solutions for the discrete Painlevé III equation  Academic Article
• Chaos, Solitons and Fractals  Journal
• Chaotic substitution for highly autocorrelated data in encryption algorithm  Academic Article
• Closed-form expressions for integrals of MKdV and sine-Gordon maps  Academic Article
• Closed-form expressions for integrals of traveling wave reductions of integrable lattice equations  Academic Article
• Coalescence cascades and special-function solutions for the continuous and discrete Painlevé equations  Academic Article
• Communications in Mathematical Physics  Journal
• Communications in Nonlinear Science and Numerical Simulation  Journal
• Conformal anomaly and surface energy for Potts and Ashkin-Teller quantum chains  Academic Article
• Creating and relating three-dimensional integrable maps  Academic Article
• Dark energy states from quantization of boson fields in a universe with unstable modes  Academic Article
• Degenerate Nonlinear Diffusion with an Initially Sharp Front  Academic Article
• Determinant structure of the rational solutions for the Painlevé II equation  Academic Article
• Determinant structure of the rational solutions for the Painlevé IV equation  Academic Article
• Discrete Painlevé equations and their Lax pairs as reductions of integrable lattice equations  Academic Article
• Discrete dynamical systems with W(A⁽¹⁾m-1 × A⁽¹⁾n-1) symmetry  Academic Article
• Discrete gradient methods for solving ODEs numerically while preserving a first integral  Academic Article
• Discrete gradient methods for solving variational image regularisation models  Academic Article
• Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves  Academic Article
• Discrete mKdV and discrete sine-Gordon flows on discrete space curves  Academic Article
• Duality for discrete integrable systems  Academic Article
• Duality for discrete integrable systems II  Academic Article
• Dynamics and bifurcations of a three-dimensional piecewise-linear integrable map  Academic Article
• Euler–Lagrange and Hamilton equations for non-holonomic systems in field theory  Academic Article
• Evolution equations: Frobenius integrability, conservation laws and travelling waves  Academic Article
• Evolution of curvature invariants and lifting integrability  Academic Article
• Exact solvability of the Mullins nonlinear diffusion model of groove development  Academic Article
• Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions  Academic Article
• Explicit solutions of PDE via Vessiot theory and solvable structures  Academic Article
• Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves  Academic Article
• Feigenvalues for Mandelsets  Academic Article
• Generalising gauge variance for spherically symmetric potentials  Academic Article
• Generating function associated with the rational solutions of the Painlevé II equation  Academic Article
• Geometric Numerical Integration of Differential Equations  Academic Article
• Geometric and integrability properties of Kahan's method: the preservation of certain quadratic integrals  Academic Article
• Geometric aspects of Painlevé equations  Academic Article
• Geometric integrators for ODEs  Academic Article
• Geometric properties of Kahan's method  Academic Article
• Hypergeometric solutions to theq-Painlevé equation of typeA(1)4  Conference Paper
• Identifying attributes and insecurity of a public-channel key exchange protocol using chaos synchronization  Academic Article
• Initial value problems for lattice equations  Academic Article
• Initial value problems for quad equations  Academic Article
• Integrability properties of Kahan's method  Academic Article
• Integrable Discrete Model for One‐Dimensional Soil Water Infiltration  Academic Article
• Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems  Academic Article
• Integrable forms of the one‐dimensional flow equation for unsaturated heterogeneous porous media  Academic Article
• Integrable heterogeneous nonlinear Schrödinger equations with dielectric loss: Lie–Bäcklund symmetries  Academic Article
• Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems  Academic Article
• Integral-preserving integrators  Academic Article
• Integration of PDEs by differential geometric means  Academic Article
• Interchanging parameters and integrals in dynamical systems: the mapping case  Academic Article
• Involutivity of integrals of sine-Gordon, modified KdV and potential KdV maps  Academic Article
• Ising tricriticality and the dilute A3model  Academic Article
• Jacobi fields and linear connections for arbitrary second-order ODEs  Report
• Jacobi fields and linear connections for arbitrary second-order ODEs  Academic Article
• Journal of Geometry and Physics  Journal
• Journal of Mathematical Physics  Journal
• Journal of Nonlinear Mathematical Physics  Journal
• Journal of Physics A: Mathematical and Theoretical  Journal
• LEPAGE EQUIVALENTS OF SECOND-ORDER EULER–LAGRANGE FORMS AND THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS  Academic Article
• Lagrangian multiform structure for the lattice KP system  Academic Article
• Letters in Mathematical Physics  Journal
• Liouville integrability and superintegrability of a generalized Lotka–Volterra system and its Kahan discretization  Academic Article
• Magnetic correlation length and universal amplitude of the lattice Ising model  Academic Article
• Non-integrability of non-linear diffusion-convection equations in two-spatial dimensions  Academic Article
• Nonclassical symmetry solutions and the methods of Bluman–Cole and Clarkson–Kruskal  Academic Article
• Nonholonomic variational systems  Academic Article
• On Testing Integrability  Academic Article
• On a q-Difference Painlevé III Equation: I. Derivation, Symmetry and Riccati Type Solutions  Academic Article
• On a q-Difference Painlevé III Equation: II. Rational Solutions  Academic Article
• On generalized Volterra systems  Academic Article
• On the Lie symmetries of the classical Kepler problem  Academic Article
• On the evaluation formula for Jack polynomials with prescribed symmetry  Academic Article
• Partial order in the self-dual Ashkin-Teller model  Academic Article
• Photons as para-fermion composites-limitations  Academic Article
• Piecewise-linear soliton equations and piecewise-linear integrable maps  Academic Article
• Poisson brackets of mappings obtained as (q,-p) reductions of lattice equations  Academic Article
• Poisson structures for difference equations  Academic Article
• Rates of Convergence to Self-Similar Solutions of Burgers' Equation  Academic Article
• Reflections on the symmetry-conservation law duality and the Runge-Lenz vector  Academic Article
• Regular and Chaotic Dynamics  Journal
• Reports on Mathematical Physics  Journal
• Soliton solutions for the non-autonomous discrete-time Toda lattice equation  Academic Article
• Solutions and reductions for radiative energy transport in laser-heated plasma  Academic Article
• Some integrable maps and their Hirota bilinear forms  Academic Article
• Studies in Applied Mathematics  Journal
• Sufficient number of integrals for thepth-order Lyness equation  Academic Article
• Surface critical behaviour of an O(n) loop model related to two Manhattan lattice walk problems  Academic Article
• Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models  Academic Article
• Symmetries of the time-dependent N-dimensional oscillator  Academic Article
• Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation  Academic Article
• The Lagrangian Order-Reduction Theorem in Field Theories  Academic Article
• The anisotropic Heisenberg spin chain and the derivative nonlinear Schrodinger equation  Academic Article
• The conserved quantities and symmetries of the two‐dimensional Toda lattice hierarchy  Academic Article
• The dilute A[sub 4] model, the E[sub 7] mass spectrum and the tricritical Ising model  Academic Article
• The nonholonomic variational principle  Academic Article
• The off-critical integrable Ashkin-Teller model  Academic Article
• The relativistic mechanics in a nonholonomic setting: a unified approach to particles with non-zero mass and massless particles  Academic Article
• The staircase method: integrals for periodic reductions of integrable lattice equations  Academic Article
• Theoretical and Mathematical Physics  Journal
• Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation  Academic Article
• Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type  Academic Article
• Tupling in three-dimensional reversible mappings  Academic Article
• Ultradiscretization of solvable one-dimensional chaotic maps  Academic Article
• Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps  Academic Article
• q-Discretization of the two-dimensional Toda equations  Academic Article
• q-Painleve systems arising from q-KP hierarchy  Academic Article
• q-Trinomial coefficients and the dilute A model  Academic Article