Bäcklund transformations between the KdV equation and a new nonlinear evolution equation
type: Item
instance of: scholarly article
title: Bäcklund transformations between the KdV equation and a new nonlinear evolution equation
zbMATH Open document ID: 1426.35198
DOI: 10.1155/2017/5157123
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation. We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the new equation to itself. As applications, by applying our Bäcklund transformations to known solutions, we construct some novel solutions to the new equation.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 6972187
Wikidata QID: Q59147602
author: Xifang Cao
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5157123
OpenAlex ID: W2592202203
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description: scientific article; zbMATH DE number 6972187