Dispersionless Davey–Stewartson system: Lie symmetry algebra, symmetry group and exact solutions

Faruk Güngör; Cihangir Özemir

doi:10.1140/epjp/s13360-021-01688-2

Dispersionless Davey–Stewartson system: Lie symmetry algebra, symmetry group and exact solutions

Faruk Güngör, Cihangir Özemir^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Technical University

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

3 Atıf (Scopus)

Özet

Lie symmetry algebra of the dispersionless Davey–Stewartson (dDS) system is shown to be infinite dimensional. The structure of the algebra turns out to be Kac–Moody–Virasoro one, which is typical for integrable evolution equations in 2 + 1 dimensions. Symmetry group transformations are constructed using a direct (global) approach. They are split into both connected and discrete ones. Several exact solutions are obtained as an application of the symmetry properties.

Orijinal dil	İngilizce
Makale numarası	715
Dergi	European Physical Journal Plus
Hacim	136
Basın numarası	7
DOI'lar	https://doi.org/10.1140/epjp/s13360-021-01688-2
Yayın durumu	Yayınlandı - Tem 2021

Bibliyografik not

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.

Belgeye Erişim

10.1140/epjp/s13360-021-01688-2

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Dispersionless Davey–Stewartson system: Lie symmetry algebra, symmetry group and exact solutions",

abstract = "Lie symmetry algebra of the dispersionless Davey–Stewartson (dDS) system is shown to be infinite dimensional. The structure of the algebra turns out to be Kac–Moody–Virasoro one, which is typical for integrable evolution equations in 2 + 1 dimensions. Symmetry group transformations are constructed using a direct (global) approach. They are split into both connected and discrete ones. Several exact solutions are obtained as an application of the symmetry properties.",

author = "Faruk G{\"u}ng{\"o}r and Cihangir {\"O}zemir",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Societ{\`a} Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

month = jul,

doi = "10.1140/epjp/s13360-021-01688-2",

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AU - Güngör, Faruk

AU - Özemir, Cihangir

PY - 2021/7

Y1 - 2021/7

N2 - Lie symmetry algebra of the dispersionless Davey–Stewartson (dDS) system is shown to be infinite dimensional. The structure of the algebra turns out to be Kac–Moody–Virasoro one, which is typical for integrable evolution equations in 2 + 1 dimensions. Symmetry group transformations are constructed using a direct (global) approach. They are split into both connected and discrete ones. Several exact solutions are obtained as an application of the symmetry properties.

AB - Lie symmetry algebra of the dispersionless Davey–Stewartson (dDS) system is shown to be infinite dimensional. The structure of the algebra turns out to be Kac–Moody–Virasoro one, which is typical for integrable evolution equations in 2 + 1 dimensions. Symmetry group transformations are constructed using a direct (global) approach. They are split into both connected and discrete ones. Several exact solutions are obtained as an application of the symmetry properties.

UR - http://www.scopus.com/inward/record.url?scp=85109153418&partnerID=8YFLogxK

U2 - 10.1140/epjp/s13360-021-01688-2

DO - 10.1140/epjp/s13360-021-01688-2

M3 - Article

AN - SCOPUS:85109153418

SN - 2190-5444

VL - 136

JO - European Physical Journal Plus

JF - European Physical Journal Plus

IS - 7

M1 - 715

ER -

Dispersionless Davey–Stewartson system: Lie symmetry algebra, symmetry group and exact solutions

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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