Bäcklund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Bäcklund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation
zbMATH Open document ID: 1487.35341
author: Suyalatu Dong
author: Zhong-Zhou Lan
author: Bo Gao
author: Yujia Shen
published in: Applied Mathematics Letters
publication date: 2021-12-13T00:00:00Z
review text: The paper uses symbolic computation to investigate a discrete Korteweg-de Vries (dKdV) equation for an LC network consisting of voltage-dependent capacitors and current-dependent inductors. With binary Bell polynomials, the authors reduce the discrete Korteweg-de Vries to the corresponding bilinear form, avoiding first transforming into its fourlinear form. Simultaneously, they acquire the dependent variable transformation through the deriving procedures. They derive the Bäcklund transformation for the dKdV equation without using the exchange formulae. Finally, the authors illustrate and analyze Solitonic propagation and interaction in the electrical circuit.
reviewed by: P. M. da Silva
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 7443231
zbMATH Keywords: discrete Korteweg-de Vries equation
zbMATH Keywords: binary Bell polynomials
zbMATH Keywords: Hirota bilinear method
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: multi-soliton solutions
MaRDI profile type: Publication
full work available at URL: j.aml.2021.107747
OpenAlex ID: W3208724943
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DOI: 10.1016/J.AML.2021.107747
description: scientific article; zbMATH DE number 7443231