Symbolic computation of hyperbolic tangent solutions for nonlinear differential–difference equations

Published: 1 October 2004| Version 1 | DOI: 10.17632/mtt2g3sjbt.1
Contributors:
D. Baldwin,
Ü. Göktaş,
W. Hereman

Description

Abstract 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 determines the conditions on the parameters so that the equations might admit polynomial solutions in tanh. Examples illustrate the key steps of the algorithm. Through discussion and example, parallels are drawn to the tanh-method for partial differential equations. The new algorithm is implemented in Mathematica. The p... Title of program: DDESpecialSolutions.m Catalogue Id: ADUJ_v1_0 Nature of problem The program computes exact solutions to differential-difference equations in terms of the tanh function. Such solutions describe particle vibrations in lattices, currents in electrical networks, pulses in biological chains, etc. Versions of this program held in the CPC repository in Mendeley Data ADUJ_v1_0; DDESpecialSolutions.m; 10.1016/j.cpc.2004.07.002 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

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Computational Physics, Computer Algebra System, Computational Method

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