Analytical and numerical methods for the CMKdV-II equation
type: Item
instance of: scholarly article
title: Analytical and numerical methods for the CMKdV-II equation
zbMATH Open document ID: 1185.35215
DOI: 10.1155/2009/935030
author: Ersin Özuğurlu
author: Ömer Akın
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
review text: Summary: Hirota's bilinear form for the Complex Modified Korteweg-de Vries-II equation (CMKdV-II) \(U_{t} - 6|U|^{2}U_{x}+U_{xxx}=0\) is derived. We obtain one- and two-soliton solutions analytically for the CMKdV-II. One-soliton solution of the CMKdV-II equation is obtained by using finite difference method by implementing an iterative method.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 5632566
zbMATH Keywords: complex modified Korteweg-de Vries-II equation
zbMATH Keywords: soliton solutions
zbMATH Keywords: Hirota's bilinear form
zbMATH Keywords: finite difference form
Wikidata QID: Q58649560
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2009/935030
OpenAlex ID: W1986639616
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description: scientific article; zbMATH DE number 5632566