Kink solutions for a class of generalized dissipative equations
type: Item
instance of: scholarly article
title: Kink solutions for a class of generalized dissipative equations
zbMATH Open document ID: 1257.35180
DOI: 10.1155/2012/237135
author: Marianna Ruggieri
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We study, in this paper, a generalized viscoelastic equation which includes several interesting models considered in some recent papers. Many physically important nonlinear PDEs can be reduced to nonlinear ODEs by means of reduction techniques. So it is significant and very interesting to study, among all the closed-form solutions admitted by the model, the corresponding kink waves. A plot of the obtained solution is performed.
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 35A24
zbMATH DE Number: 6134042
Wikidata QID: Q58696067
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/237135
OpenAlex ID: W2098085110
cites work: Symmetries and reduction techniques for dissipative models
cites work: Exact solutions for a nonlinear model of dissipative media
cites work: Regularity of minimizers of some variational integrals with discontinuity
cites work: Homogeneous Herz spaces and regularity results
cites work: Group properties of u//(tt)=[f(u)u//x]//x
cites work: APPROXIMATE SYMMETRIES OF A VISCOELASTIC MODEL
cites work: Q5602324
cites work: Shear Waves in a Class of Nonlinear Viscoelastic Solids
cites work: Finite-amplitude inhomogeneous waves in mooney --- rivlin viscoelastic solids
cites work: Q3945260
cites work: Q3715336
description: scientific article; zbMATH DE number 6134042