Symmetries of nonlinear telegraph equations in strong fields
type: Item
instance of: scholarly article
title: Symmetries of nonlinear telegraph equations in strong fields
zbMATH Open document ID: 0915.35074
published in: Mathematical \& Computational Applications
publication date: 1999-06-23T00:00:00Z
review text: Point, higher, and nonlocal symmetries of the special form (known as potential symmetries) are calculated for the equation \[ u_{xx}+\left(\frac{1}{u^n}\right)_{tt}=0,\quad n\neq -1. \] These symmetries are used to calculate explicit solutions of this equation and to reduce the equation to a system of linear PDEs.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 1239783
zbMATH Keywords: potential symmetry
zbMATH Keywords: nonlocal symmetry
zbMATH Keywords: point symmetry
zbMATH Keywords: higher symmetry
zbMATH Keywords: automodelling solution
author: Gernot Haager
author: Gerd Baumann
author: Theo F. Nonnenmacher
reviewed by: Valeriy Yumaguzhin
MaRDI profile type: Publication
full work available at URL: mca1020047
OpenAlex ID: W2355296802
DOI: 10.3390/MCA1020047
description: scientific article; zbMATH DE number 1239783