A property of the ansatz of the Hirota method for quasilinear parabolic equations
type: Item
instance of: scholarly article
title: A property of the ansatz of the Hirota method for quasilinear parabolic equations
zbMATH Open document ID: 1031.35055
DOI: 10.1023/A:1014846823941
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: The author deals with the classes of linear fractional solutions to some nonlinear equations. This allows him to construct new solutions for a chosen class of dissipative equations. To construct solutions of a more complicated forms the author proposes to use so-called ``property of zero denominators and factorized brackets''. Moreover, the author presents some examples of new solutions, which can be used for majorizing in comparison theorems and for modeling phase processes and process in neurocomputers.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 1928178
zbMATH Keywords: linear fractional solutions
zbMATH Keywords: dissipative equations
zbMATH Keywords: comparison theorems
author: K. A. Volosov
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: a:1014846823941
OpenAlex ID: W61437469
description: scientific article; zbMATH DE number 1928178