41 citations · 81 across the 5 of their papers we have counts for
5 papers
Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation
Willy Hereman, Ünal Göktaş
Using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinea…
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…
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…
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…
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…