36 citations · 72 across the 10 of their papers we have counts for
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solv-int1998
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…
solv-int1998
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…
solv-int1998
Invariants and Symmetries for Partial Differential Equations and Lattices
Unal Goktas, Willy Hereman
Methods for the computation of invariants and symmetries of nonlinear evolution, wave, and lattice equations are presented. The algorithms are based on dimensional analysis, and ca…