A constructive REDUCE package based upon the Painlevé analysis of nonlinear evolutions equations in Hamiltonian and / or normal form

Published: 01-01-1992| Version 1 | DOI: 10.17632/m2hyhg92wv.1
Friedrich Renner


Abstract A number of necessary conditions for scalar nonlinear evolution equations of normal or certain Hamiltonian form to pass the Painlevé test in one (or two) branches with the Kruskal ansatz is used to write a REDUCE package able to construct (theoretically) all equations with this property. Starting with a given leading order, a degree of homogeneity and (in the Hamiltonian case) a skew-adjoint differential operator, the system generates all admissible resonance patterns, adapts (if possible) th... Title of program: PTEST.RED Catalogue Id: ACHP_v1_0 Nature of problem To find physically good natured nonlinear evolution equations passing the Painleve test and exhibiting e.g. soliton solutions, Baecklund transformations, an infinite number of conserved densities and/or symmetries. Versions of this program held in the CPC repository in Mendeley Data ACHP_v1_0; PTEST.RED; 10.1016/0010-4655(92)90203-B This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)