75 citations · 88 across the 5 of their papers we have counts for
5 papers
Symbolic computation of solitary wave solutions and solitons through homogenization of degree
Willy Hereman, Unal Goktas
A simplified version of Hirota's method for the computation of solitary waves and solitons of nonlinear PDEs is presented. A change of dependent variable transforms the PDE into an…
Integrability Tests for Nonlinear Evolution Equations
Willy Hereman, Unal Goktas
Discusses several integrability tests for nonlinear evolution equations.
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…
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…
Computation of conservation laws for nonlinear lattices
Unal Goktas, Willy Hereman
An algorithm to compute polynomial conserved densities of polynomial nonlinear lattices is presented. The algorithm is implemented in Mathematica and can be used as an automated in…