41 citations · 43 across the 2 of their papers we have counts for
2 papers
nlin.SI2005★ 2 cited
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…
solv-int1998★ 41 cited
Algorithmic Integrability Tests for Nonlinear Differential and Lattice Equations
Willy Hereman, Unal Goktas, Michael D. Colagrosso +1
Three symbolic algorithms for testing the integrability of polynomial systems of partial differential and differential-difference equations are presented. The first algorithm is th…