Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation

In this article, by using the Herman–Pole technique the conservation laws of the [Formula: see text] Jimbo–Miwa equation are obtained, and then by using the Lie symmetry analysis all of the geometric vector fields of this equation are given. Also, the non-classical symmetries of the Jimbo–Miwa equat...

Descripción completa

Detalles Bibliográficos
Autores principales: Manafian, Jalil, Alimirzaluo, Elnaz, Nadjafikhah, Mehdi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8460214/
https://www.ncbi.nlm.nih.gov/pubmed/34584522
http://dx.doi.org/10.1186/s13662-021-03578-4
_version_ 1784571696233054208
author Manafian, Jalil
Alimirzaluo, Elnaz
Nadjafikhah, Mehdi
author_facet Manafian, Jalil
Alimirzaluo, Elnaz
Nadjafikhah, Mehdi
author_sort Manafian, Jalil
collection PubMed
description In this article, by using the Herman–Pole technique the conservation laws of the [Formula: see text] Jimbo–Miwa equation are obtained, and then by using the Lie symmetry analysis all of the geometric vector fields of this equation are given. Also, the non-classical symmetries of the Jimbo–Miwa equation have been determined by applying nonclassical schemes. Eventually, the ansatz solutions of the Jimbo–Miwa equations utilizing the tanh technique have been offered.
format Online
Article
Text
id pubmed-8460214
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-84602142021-09-24 Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation Manafian, Jalil Alimirzaluo, Elnaz Nadjafikhah, Mehdi Adv Differ Equ Research In this article, by using the Herman–Pole technique the conservation laws of the [Formula: see text] Jimbo–Miwa equation are obtained, and then by using the Lie symmetry analysis all of the geometric vector fields of this equation are given. Also, the non-classical symmetries of the Jimbo–Miwa equation have been determined by applying nonclassical schemes. Eventually, the ansatz solutions of the Jimbo–Miwa equations utilizing the tanh technique have been offered. Springer International Publishing 2021-09-23 2021 /pmc/articles/PMC8460214/ /pubmed/34584522 http://dx.doi.org/10.1186/s13662-021-03578-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Manafian, Jalil
Alimirzaluo, Elnaz
Nadjafikhah, Mehdi
Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation
title Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation
title_full Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation
title_fullStr Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation
title_full_unstemmed Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation
title_short Conservation laws and exact solutions of the [Formula: see text] -dimensional Jimbo–Miwa equation
title_sort conservation laws and exact solutions of the [formula: see text] -dimensional jimbo–miwa equation
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8460214/
https://www.ncbi.nlm.nih.gov/pubmed/34584522
http://dx.doi.org/10.1186/s13662-021-03578-4
work_keys_str_mv AT manafianjalil conservationlawsandexactsolutionsoftheformulaseetextdimensionaljimbomiwaequation
AT alimirzaluoelnaz conservationlawsandexactsolutionsoftheformulaseetextdimensionaljimbomiwaequation
AT nadjafikhahmehdi conservationlawsandexactsolutionsoftheformulaseetextdimensionaljimbomiwaequation

Ejemplares similares