Special transformation properties for certain equations with applications in Plasma Physics

被引：3

作者：

Charalambous, Kyriacos ^{[1
,2
]}

Sophocleous, Christodoulos ^{[2
]}

机构：

[1] Univ Nicosia, Dept Math, Nicosia, Cyprus

[2] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期

关键词：

equivalence transformations; linearization; potential symmetries; system of diffusion equations; REACTION-DIFFUSION EQUATIONS; MASS-TRANSFER EQUATIONS; GROUP CLASSIFICATION; LIE SYMMETRIES; EQUIVALENCE TRANSFORMATIONS; POTENTIAL SYMMETRIES; SYSTEMS; LINEARIZATION; MATRIX;

D O I：

10.1002/mma.7742

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlocal transformation properties are derived for a nonlinear system which appears in certain problems in Plasma Physics. Such properties exist since the system admits conservation laws. These conservation laws lead to auxiliary systems which are studied in the point of view of equivalence transformations and Lie point symmetry analysis. The existence of infinite dimensional symmetries, in some cases, leads to the construction of linearizing mappings.

引用

页码：14776 / 14790

页数：15

共 35 条

[11] Generalized equivalence transformations and group classification of systems of differential equations [J].

Chirkunov, Yu. A. .

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2012, 53 (02) :147-155

[12] Conservation laws and potential symmetries of systems of diffusion equations [J].

Ivanova, N. M. ;

Sophocleous, C. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (23)

[13] Linearization of systems of Nonlinear diffusion equations [J].

Jing, Kang ;

Chang-Zheng, Qu .

CHINESE PHYSICS LETTERS, 2007, 24 (09) :2467-2470

[14] Group classification of systems of diffusion equations [J].

Kontogiorgis, Stavros ;

Sophocleous, Christodoulos .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (05) :1746-1756

[15]

Lie S., 1888, Math. Ann, V32, P213, DOI 10.1007/bf01444068

[16]

Meleshko S.V., 1996, Nonlinear Math. Phys, V3, P170, DOI [10.2991/jnmp.1996.3.1-2.21, DOI 10.2991/JNMP.1996.3.1-2.21]

[17]

MELESHKO SV, 1994, PMM-J APPL MATH MEC+, V58, P629

[18] GROUP CLASSIFICATION OF COUPLED DIFFUSION SYSTEM WITH APPLICATIONS IN SOIL SCIENCE [J].

Molati, M. ;

Mahomed, F. M. .

MATHEMATICAL & COMPUTATIONAL APPLICATIONS, 2010, 15 (04) :697-708

[19] Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. II. Generalized Turing systems [J].

Nikitin, A. G. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (01) :666-690

[20] Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. I. Generalized Ginzburg-Landau equations [J].

Nikitin, A. G. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) :615-628

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