41 citations · 81 across the 5 of their papers we have counts for
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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…
solv-int1997★ 33 cited
Computation of conserved densities for systems of nonlinear differential-difference equations
Unal Goktas, Willy Hereman, Grant Erdmann
A new method for the computation of conserved densities of nonlinear differential-difference equations is applied to Toda lattices and discretizations of the Korteweg-de Vries and…
solv-int1997★ 1 cited
Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations
Unal Goktas, Willy Hereman
A new algorithm for the symbolic computation of polynomial conserved densities for systems of nonlinear evolution equations is presented. The algorithm is implemented in Mathematic…