On the equivalence groups for (2+1) dimensional nonlinear diffusion equation

Saadet Özer

doi:10.1016/j.nonrwa.2018.02.010

On the equivalence groups for (2+1) dimensional nonlinear diffusion equation

Saadet Özer

Matematik Bölümü

Araştırma çıktısı: Dergi yayını › Makale › Hakem

4 Atıf (Scopus)

Özet

(2+1) dimensional diffusion equation is considered within the framework of the group of equivalence transformations. Generators for the group are obtained and admissible transformations between linear and nonlinear equations are examined. It is shown that transformations between linear and nonlinear equations are possible provided that the generators of independent variables depend on the dependent variable. Exact solutions for some nonlinear equations are obtained.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	155-166
Sayfa sayısı	12
Dergi	Nonlinear Analysis: Real World Applications
Hacim	43
DOI'lar	https://doi.org/10.1016/j.nonrwa.2018.02.010
Yayın durumu	Yayınlandı - Eki 2018

Bibliyografik not

Publisher Copyright:
© 2018 Elsevier Ltd

Belgeye Erişim

10.1016/j.nonrwa.2018.02.010

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{925deaf426e04b528754b4fcf55e6050,

title = "On the equivalence groups for (2+1) dimensional nonlinear diffusion equation",

abstract = "(2+1) dimensional diffusion equation is considered within the framework of the group of equivalence transformations. Generators for the group are obtained and admissible transformations between linear and nonlinear equations are examined. It is shown that transformations between linear and nonlinear equations are possible provided that the generators of independent variables depend on the dependent variable. Exact solutions for some nonlinear equations are obtained.",

keywords = "Equivalence transformations, Exact solution, Lie group application, Nonlinear diffusion equation",

author = "Saadet {\"O}zer",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = oct,

doi = "10.1016/j.nonrwa.2018.02.010",

language = "English",

volume = "43",

pages = "155--166",

journal = "Nonlinear Analysis: Real World Applications",

issn = "1468-1218",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - On the equivalence groups for (2+1) dimensional nonlinear diffusion equation

AU - Özer, Saadet

PY - 2018/10

Y1 - 2018/10

N2 - (2+1) dimensional diffusion equation is considered within the framework of the group of equivalence transformations. Generators for the group are obtained and admissible transformations between linear and nonlinear equations are examined. It is shown that transformations between linear and nonlinear equations are possible provided that the generators of independent variables depend on the dependent variable. Exact solutions for some nonlinear equations are obtained.

AB - (2+1) dimensional diffusion equation is considered within the framework of the group of equivalence transformations. Generators for the group are obtained and admissible transformations between linear and nonlinear equations are examined. It is shown that transformations between linear and nonlinear equations are possible provided that the generators of independent variables depend on the dependent variable. Exact solutions for some nonlinear equations are obtained.

KW - Equivalence transformations

KW - Exact solution

KW - Lie group application

KW - Nonlinear diffusion equation

UR - https://www.scopus.com/pages/publications/85043495497

U2 - 10.1016/j.nonrwa.2018.02.010

DO - 10.1016/j.nonrwa.2018.02.010

M3 - Article

AN - SCOPUS:85043495497

SN - 1468-1218

VL - 43

SP - 155

EP - 166

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

On the equivalence groups for (2+1) dimensional nonlinear diffusion equation

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap