36 citations · 38 across the 3 of their papers we have counts for
3 papers
Scaling Invariant Lax Pairs of Nonlinear Evolution Equations
Mark Hickman, Willy Hereman, Jennifer Larue +1
A completely integrable nonlinear partial differential equation (PDE) can be associated with a system of linear PDEs in an auxiliary function whose compatibility requires that the…
Direct Methods and Symbolic Software for Conservation Laws of Nonlinear Equations
Willy Hereman, Paul J. Adams, Holly L. Eklund +2
We present direct methods and symbolic software for the computation of conservation laws of nonlinear partial differential equations (PDEs) and differential-difference equations (D…
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…