| Goktas, U., Hereman, W. and Erdmann, G. (1997) Computation of conserved densities for systems of nonlinear differential-difference equations. , Physics Letters A, vol. 236, pp. 30-38 (1997). |
....strength of the program described in [2] is to get sometimes higher in the order that still can be handled by concentrating on polynomial CLs having to solve algebraic systems for coefficients of a polynomial ansatz. They were also able to extend applicability to differential difference systems [3]. The comparison of the three approaches (1) 3) showed that each of them has advantages in special circumstances. It also serves as a comparison between using a general purpose program to find the quickest way of solving overdetermined PDE systems directly (CONLAW1 3) and an approach to derive ....
Goktas, U., Hereman, W. and Erdmann, G. (1997) Computation of conserved densities for systems of nonlinear differential-difference equations. , Physics Letters A, vol. 236, pp. 30-38 (1997).
....with that, the programs ConLaw1. 4 are able to find more general conservation laws and to make a definitive statement in case the order is not too high to complete the computations. On the other hand, the program of Goktas and Hereman was recently extended to handle differential difference systems [10], 11] 12] Before showing examples which highlight the special abilities of ConLaw1. 4 a comment to the treatment of ODEs shall be made. Although all methods and programs are applicable equally well to ODEs, the form of the ansatz for the integrating factor or for the first integral to be made ....
Goktas, U., Hereman, W. and Erdmann, G. (1997) Computation of conserved densities for systems of nonlinear differential-difference equations, Physics Letters A, 236, pp. 30-38.
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