4 citations · 6 across the 3 of their papers we have counts for
7 papers
Continuous and Discrete Homotopy Operators with Applications in Integrability Testing
Willy Hereman, Michael Colagrosso, Ryan Sayers +4
We introduce calculus-based formulas for the continuous Euler and homotopy operators. The 1D continuous homotopy operator automates integration by parts on the jet space. Its 3D ge…
Symbolic Computation of Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations
Willy Hereman, Jan A. Sanders, Jack Sayers +1
Algorithms for the symbolic computation of conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations a…
Symbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs
Douglas Baldwin, Willy Hereman, Jack Sayers
This paper discusses the algorithms and implementations of three Mathematica packages for the study of integrability and the computation of closed-form solutions of nonlinear polyn…
Integrability Tests for Nonlinear Evolution Equations
Willy Hereman, Unal Goktas
Discusses several integrability tests for nonlinear evolution equations.
The Painlevé Integrability Test
Willy Hereman
The Painlevé test is a widely applied and quite successful technique to investigate the integrability of nonlinear ODEs and PDEs by analyzing the singularity structure of the solut…
Computation of Higher-order Symmetries for Nonlinear Evolution and Lattice Equations
Unal Goktas, Willy Hereman
A straightforward algorithm for the symbolic computation of higher-order symmetries of nonlinear evolution equations and lattice equations is presented. The scaling properties of t…