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 novel 8-parameter integrable map in R4 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
- 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
- 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 cylindricity of submanifolds of nonnegative Ricci curvature in a Minkowski space 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