157 citations · 157 across the 3 of their papers we have counts for
5 papers
Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations
Ünal Göktaş, Willy Hereman
Algorithms for the symbolic computation of polynomial conservation laws, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations…
Symbolic Computation of Recursion Operators for Nonlinear Differential-Difference equations
Ünal Göktaş, Willy Hereman
An algorithm for the symbolic computation of recursion operators for systems of nonlinear differential-difference equations (DDEs) is presented. Recursion operators allow one to ge…
Methods in Mathematica for Solving Ordinary Differential Equations
Ünal Göktaş, Devendra Kapadia
An overview of the solution methods for ordinary differential equations in the Mathematica function DSolve is presented.
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 exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
D. Baldwin, U. Goktas, W. Hereman +3
Algorithms are presented for the tanh- and sech-methods, which lead to closed-form solutions of nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithm…