Academic Journal
Investigating (2+1)-dimensional dissipative long wave system in water waves using three innovative integration norms
العنوان: | Investigating (2+1)-dimensional dissipative long wave system in water waves using three innovative integration norms |
---|---|
المؤلفون: | Nauman Raza, Isma Ghulam Murtaza, Saima Arshed, Younes Chahlaoui |
المصدر: | Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100748- (2024) |
بيانات النشر: | Elsevier, 2024. |
سنة النشر: | 2024 |
المجموعة: | LCC:Applied mathematics. Quantitative methods |
مصطلحات موضوعية: | Soliton solutions, (2+1)-dimensional dissipative long wave equation, Singular manifold method, Unified method, Generalized projective Ricatti equation method, Applied mathematics. Quantitative methods, T57-57.97 |
الوصف: | This research article investigates the dissipative long wave system in (2+1) dimensions. To analyze this system, three separate integrating strategies were used: the single manifold approach, the unified method, and the generalized projective Ricatti equation method. Novel soliton solutions were effectively obtained by applying these strategies to the suggested model. The resulting solutions are various, including mixed soliton-like solutions, dark solitons, rational solutions, triangular periodic solutions, and combined Jacobi elliptic wave function solutions. Using the aforementioned approaches, an extensive variety of solution types has been discovered for the proposed model. The dynamic character of these closed-form solutions has been adequately demonstrated using both three dimensional and two dimensional graphical representations. This visualization helps to better understand the behavior of the acquired solutions. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 2666-8181 |
Relation: | http://www.sciencedirect.com/science/article/pii/S2666818124001347; https://doaj.org/toc/2666-8181 |
DOI: | 10.1016/j.padiff.2024.100748 |
URL الوصول: | https://doaj.org/article/739eec3ea57a4994b54c9bbe7d03aba2 |
رقم الانضمام: | edsdoj.739eec3ea57a4994b54c9bbe7d03aba2 |
قاعدة البيانات: | Directory of Open Access Journals |
ResultId |
1 |
---|---|
Header |
edsdoj Directory of Open Access Journals edsdoj.739eec3ea57a4994b54c9bbe7d03aba2 1038 3 Academic Journal academicJournal 1038.00329589844 |
PLink |
https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsdoj&AN=edsdoj.739eec3ea57a4994b54c9bbe7d03aba2&custid=s6537998&authtype=sso |
FullText |
Array
(
[Availability] => 0
)
Array ( [0] => Array ( [Url] => https://doaj.org/article/739eec3ea57a4994b54c9bbe7d03aba2 [Name] => EDS - DOAJ [Category] => fullText [Text] => View record in DOAJ [MouseOverText] => View record in DOAJ ) [1] => Array ( [Url] => https://resolver.ebscohost.com/openurl?custid=s6537998&groupid=main&authtype=ip,guest&sid=EBSCO:edsdoj&genre=article&issn=26668181&ISBN=&volume=11&issue=100748-&date=20240901&spage=&pages=&title=Partial Differential Equations in Applied Mathematics&atitle=Investigating%20%282%2B1%29-dimensional%20dissipative%20long%20wave%20system%20in%20water%20waves%20using%20three%20innovative%20integration%20norms&id=DOI:10.1016/j.padiff.2024.100748 [Name] => Full Text Finder (s6537998api) [Category] => fullText [Text] => Full Text Finder [Icon] => https://imageserver.ebscohost.com/branding/images/FTF.gif [MouseOverText] => Full Text Finder ) ) |
Items |
Array
(
[Name] => Title
[Label] => Title
[Group] => Ti
[Data] => Investigating (2+1)-dimensional dissipative long wave system in water waves using three innovative integration norms
)
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Nauman+Raza%22">Nauman Raza</searchLink><br /><searchLink fieldCode="AR" term="%22Isma+Ghulam+Murtaza%22">Isma Ghulam Murtaza</searchLink><br /><searchLink fieldCode="AR" term="%22Saima+Arshed%22">Saima Arshed</searchLink><br /><searchLink fieldCode="AR" term="%22Younes+Chahlaoui%22">Younes Chahlaoui</searchLink> ) Array ( [Name] => TitleSource [Label] => Source [Group] => Src [Data] => Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100748- (2024) ) Array ( [Name] => Publisher [Label] => Publisher Information [Group] => PubInfo [Data] => Elsevier, 2024. ) Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2024 ) Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => LCC:Applied mathematics. Quantitative methods ) Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22Soliton+solutions%22">Soliton solutions</searchLink><br /><searchLink fieldCode="DE" term="%22%282%2B1%29-dimensional+dissipative+long+wave+equation%22">(2+1)-dimensional dissipative long wave equation</searchLink><br /><searchLink fieldCode="DE" term="%22Singular+manifold+method%22">Singular manifold method</searchLink><br /><searchLink fieldCode="DE" term="%22Unified+method%22">Unified method</searchLink><br /><searchLink fieldCode="DE" term="%22Generalized+projective+Ricatti+equation+method%22">Generalized projective Ricatti equation method</searchLink><br /><searchLink fieldCode="DE" term="%22Applied+mathematics%2E+Quantitative+methods%22">Applied mathematics. Quantitative methods</searchLink><br /><searchLink fieldCode="DE" term="%22T57-57%2E97%22">T57-57.97</searchLink> ) Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => This research article investigates the dissipative long wave system in (2+1) dimensions. To analyze this system, three separate integrating strategies were used: the single manifold approach, the unified method, and the generalized projective Ricatti equation method. Novel soliton solutions were effectively obtained by applying these strategies to the suggested model. The resulting solutions are various, including mixed soliton-like solutions, dark solitons, rational solutions, triangular periodic solutions, and combined Jacobi elliptic wave function solutions. Using the aforementioned approaches, an extensive variety of solution types has been discovered for the proposed model. The dynamic character of these closed-form solutions has been adequately demonstrated using both three dimensional and two dimensional graphical representations. This visualization helps to better understand the behavior of the acquired solutions. ) Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => article ) Array ( [Name] => Format [Label] => File Description [Group] => SrcInfo [Data] => electronic resource ) Array ( [Name] => Language [Label] => Language [Group] => Lang [Data] => English ) Array ( [Name] => ISSN [Label] => ISSN [Group] => ISSN [Data] => 2666-8181 ) Array ( [Name] => NoteTitleSource [Label] => Relation [Group] => SrcInfo [Data] => http://www.sciencedirect.com/science/article/pii/S2666818124001347; https://doaj.org/toc/2666-8181 ) Array ( [Name] => DOI [Label] => DOI [Group] => ID [Data] => 10.1016/j.padiff.2024.100748 ) Array ( [Name] => URL [Label] => Access URL [Group] => URL [Data] => <link linkTarget="URL" linkTerm="https://doaj.org/article/739eec3ea57a4994b54c9bbe7d03aba2" linkWindow="_blank">https://doaj.org/article/739eec3ea57a4994b54c9bbe7d03aba2</link> ) Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsdoj.739eec3ea57a4994b54c9bbe7d03aba2 ) |
RecordInfo |
Array
(
[BibEntity] => Array
(
[Identifiers] => Array
(
[0] => Array
(
[Type] => doi
[Value] => 10.1016/j.padiff.2024.100748
)
)
[Languages] => Array
(
[0] => Array
(
[Text] => English
)
)
[Subjects] => Array
(
[0] => Array
(
[SubjectFull] => Soliton solutions
[Type] => general
)
[1] => Array
(
[SubjectFull] => (2+1)-dimensional dissipative long wave equation
[Type] => general
)
[2] => Array
(
[SubjectFull] => Singular manifold method
[Type] => general
)
[3] => Array
(
[SubjectFull] => Unified method
[Type] => general
)
[4] => Array
(
[SubjectFull] => Generalized projective Ricatti equation method
[Type] => general
)
[5] => Array
(
[SubjectFull] => Applied mathematics. Quantitative methods
[Type] => general
)
[6] => Array
(
[SubjectFull] => T57-57.97
[Type] => general
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Investigating (2+1)-dimensional dissipative long wave system in water waves using three innovative integration norms
[Type] => main
)
)
)
[BibRelationships] => Array
(
[HasContributorRelationships] => Array
(
[0] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Nauman Raza
)
)
)
[1] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Isma Ghulam Murtaza
)
)
)
[2] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Saima Arshed
)
)
)
[3] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Younes Chahlaoui
)
)
)
)
[IsPartOfRelationships] => Array
(
[0] => Array
(
[BibEntity] => Array
(
[Dates] => Array
(
[0] => Array
(
[D] => 01
[M] => 09
[Type] => published
[Y] => 2024
)
)
[Identifiers] => Array
(
[0] => Array
(
[Type] => issn-print
[Value] => 26668181
)
)
[Numbering] => Array
(
[0] => Array
(
[Type] => volume
[Value] => 11
)
[1] => Array
(
[Type] => issue
[Value] => 100748-
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Partial Differential Equations in Applied Mathematics
[Type] => main
)
)
)
)
)
)
)
|
IllustrationInfo |