157 citations · 760 across the 31 of their papers we have counts for
3 papers · 1 filter
Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
Douglas Baldwin, Unal Goktas, Willy Hereman
A new algorithm is presented to find exact traveling wave solutions of differential-difference equations in terms of tanh functions. For systems with parameters, the algorithm dete…
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…