Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations

Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations

The present study offers an overview of Newel-Whitehead-Segel (NWS) and Zeldovich equations (ZEE) equations by Lie symmetry analysis and generalizes rational function methods of exponential function. Some novel complex and real-valued exact solutions for the equations under consideration are prese...

Full description

Bibliographic Details
Main Author: Abdullahi Yusuf, Behzad Ghanbari, Sania Qureshi, Mustafa Inc, Dumitru Baleanu
Format: Article
Language:English
Published: Erdal KARAPINAR 2019-12-01
Series:Results in Nonlinear Analysis
Subjects:
newell-whitehead-segel equation
zeldovich equation
symmetries
conservation laws
Online Access:https://dergipark.org.tr/en/download/article-file/877836
id doaj-670d8343d6e746eea3da15fd4dd5b50b
record_format Article
spelling doaj-670d8343d6e746eea3da15fd4dd5b50b2020-11-25T02:44:19ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562019-12-0124182192Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equationsAbdullahi Yusuf, Behzad Ghanbari, Sania Qureshi, Mustafa Inc, Dumitru BaleanuThe present study offers an overview of Newel-Whitehead-Segel (NWS) and Zeldovich equations (ZEE) equations by Lie symmetry analysis and generalizes rational function methods of exponential function. Some novel complex and real-valued exact solutions for the equations under consideration are presented. Using a new conservation theorem, we construct conservation laws for the ZEE equation. The physical expression for some of the solutions is presented to shed more light on the mechanism of the solutions.https://dergipark.org.tr/en/download/article-file/877836newell-whitehead-segel equationzeldovich equationsymmetriesconservation laws
collection DOAJ
language English
format Article
sources DOAJ
author Abdullahi Yusuf, Behzad Ghanbari, Sania Qureshi, Mustafa Inc, Dumitru Baleanu
spellingShingle Abdullahi Yusuf, Behzad Ghanbari, Sania Qureshi, Mustafa Inc, Dumitru Baleanu
Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations
Results in Nonlinear Analysis
newell-whitehead-segel equation
zeldovich equation
symmetries
conservation laws
author_facet Abdullahi Yusuf, Behzad Ghanbari, Sania Qureshi, Mustafa Inc, Dumitru Baleanu
author_sort Abdullahi Yusuf, Behzad Ghanbari, Sania Qureshi, Mustafa Inc, Dumitru Baleanu
title Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations
title_short Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations
title_full Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations
title_fullStr Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations
title_full_unstemmed Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations
title_sort symmetry analysis and some new exact solutions of the newell-whitehead-segel and zeldovich equations
publisher Erdal KARAPINAR
series Results in Nonlinear Analysis
issn 2636-7556
2636-7556
publishDate 2019-12-01
description The present study offers an overview of Newel-Whitehead-Segel (NWS) and Zeldovich equations (ZEE) equations by Lie symmetry analysis and generalizes rational function methods of exponential function. Some novel complex and real-valued exact solutions for the equations under consideration are presented. Using a new conservation theorem, we construct conservation laws for the ZEE equation. The physical expression for some of the solutions is presented to shed more light on the mechanism of the solutions.
topic newell-whitehead-segel equation
zeldovich equation
symmetries
conservation laws
url https://dergipark.org.tr/en/download/article-file/877836
work_keys_str_mv AT abdullahiyusufbehzadghanbarisaniaqureshimustafaincdumitrubaleanu symmetryanalysisandsomenewexactsolutionsofthenewellwhiteheadsegelandzeldovichequations
_version_ 1724766442602102784

Similar Items