Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-25T19:38:32.055Z Has data issue: false hasContentIssue false
  • English
  • Français

Solvable structures and their application to a class of Cauchy problem

Published online by Cambridge University Press:  28 November 2002

M. A. BARCO
M. A. BARCO
Affiliation:
Department of Mathematics, La Trobe University, Bundoora 3083, Victoria, Australia email: M.Barco@latrobe.edu.au
Get access Rights & Permissions [Opens in a new window]

Abstract

We examine how symmetry and computer algebra can assist in solving the Cauchy problem for Pfaffian systems. We use recent results on integrating Frobenius integrable distributions via solvable symmetry structures to develop two techniques that when used in conjunction with symmetry determination software DIMSYM, allow us to solve the Cauchy problem for the special situation when there exists a one-dimensional Cauchy characteristic space. We also illustrate how our work can assist in extracting local solutions of a certain class of first and second order non-linear partial differential equations.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 5 , October 2002 , pp. 449 - 477
Copyright
2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)