Singular solutions in Casoratian form for two differential-difference equations
type: Item
instance of: scholarly article
title: Singular solutions in Casoratian form for two differential-difference equations
zbMATH Open document ID: 1078.39018
published in: Chaos, Solitons and Fractals
publication date: 2005-05-12T00:00:00Z
review text: This paper is concerned with the existence of solutions for discrete evolution equations. The author constructs several types of singular solutions and mixed solutions in Casoratian form for the Toda lattice and the differential-difference Korteweg-de Vries equation. Using density graphics drawn through Mathematica, some characteristics of singular solutions are studied. Specially, the concepts of singular oscillation point and weak singular oscillation point are introduced and their relations with the above mentioned equations are studied.
reviewed by: Hernán R. Henríquez
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 37K60
zbMATH DE Number: 2167647
zbMATH Keywords: differential-difference equation
zbMATH Keywords: singular solutions
zbMATH Keywords: Toda lattice
zbMATH Keywords: KdV equation
zbMATH Keywords: discrete evolution equations
zbMATH Keywords: solutions in Casoratian form
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: singular oscillation point
author: Da-Jun Zhang
MaRDI profile type: Publication
full work available at URL: j.chaos.2004.06.034
OpenAlex ID: W2143199567
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DOI: 10.1016/J.CHAOS.2004.06.034
description: scientific article; zbMATH DE number 2167647