ISSN:
1572-9036
Keywords:
Primary 35Q51, 35Q53, 35C05, 68Q40
;
Secondary 34-04, 35-04
;
soliton theory
;
symbolic programs
;
Hirota method
;
Painlevé test
;
Lie symmetries
;
conserved densities
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Four symbolic programs, in Macsyma or Mathematica language, are presented. The first program tests forthe existence of solitons for nonlinear PDEs. It explicitly constructs solitons using Hirota's bilinear method. In the second program, the Painlevé integrability test for ODEs and PDEs is implemented. The third program provides an algorithm to compute conserved densities for nonlinear evolution equations. The fourth software package aids in the computation of Lie symmetries of systems of differential and difference-differential equations. Several examples illustrate the capabilities of the software.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00994643
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