Explicit solutions of PDE via Vessiot theory and solvable structures
type: Item
instance of: scholarly article
title: Explicit solutions of PDE via Vessiot theory and solvable structures
zbMATH Open document ID: 1304.35040
DOI: 10.1088/1751-8113/47/31/315207
author: Naghmana Tehseen
published in: Journal of Physics A: Mathematical and Theoretical
publication date: 2014-08-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1401.0414
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 58A17
zbMATH DE Number: 6333685
zbMATH Keywords: Frobenius integrability
zbMATH Keywords: Pfaffian system
zbMATH Keywords: multi-dimensional second order PDEs
zbMATH Keywords: integrable sub-distributions
zbMATH Keywords: non-integrable Vessiot distribution
describes a project that uses: REDUCE
MaRDI profile type: Publication
OpenAlex ID: W3101782076
arXiv ID: 1401.0414
review text: The paper deals with the problem of computing the integrable sub-distributions of the non-integrable Vessiot distribution of multi-dimensional second order partial differential equations. The author employs Vessiot theory and solvable structures to find the largest integrable distributions contained in the Vessiot distribution associated to second order PDEs. In particular, it is shown how the solvable symmetry structure of the original PDE can be used to construct integrable sub-distributions leading to group invariant solutions of the PDE in two and more than two independent variables.
reviewed by: Dian K. Palagachev
description: scientific article; zbMATH DE number 6333685