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

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	155-166
Number of pages	12
Journal	Nonlinear Analysis: Real World Applications
Volume	43
DOIs	https://doi.org/10.1016/j.nonrwa.2018.02.010
Publication status	Published - Oct 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

Equivalence transformations
Exact solution
Lie group application
Nonlinear diffusion equation

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10.1016/j.nonrwa.2018.02.010

Cite this

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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.",

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

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year = "2018",

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

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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

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DO - 10.1016/j.nonrwa.2018.02.010

M3 - Article

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SN - 1468-1218

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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

Abstract

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Keywords

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