4 citations · 6 across the 3 of their papers we have counts for
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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…
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…