Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation

被引：6

作者：

Gao, Ben ^{[1
]}

Wang, Yanxia ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2019年 / 2019卷

关键词：

D O I：

10.1155/2019/9609357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the Lie group method is performed on a special dark fluid, the Chaplygin gas, which describes both dark matter and dark energy in the present universe. Based on an optimal system of one-dimensional subalgebras, similarity reductions and group invariant solutions are given. Finally, by means of Ibragimov's method, conservation laws are obtained.

引用

页数：9

共 23 条

[1] Measuring the chaplygin gas equation of state from angular and luminosity distances [J].

Alcaniz, JS ;

Lima, JAS .

ASTROPHYSICAL JOURNAL, 2005, 618 (01) :16-22

[2]

Badin G, 2018, ADV GEOPHYS ENV MECH, P1, DOI 10.1007/978-3-319-59695-2

[3]

Bluman G.W., 1989, SYMMETRIES DIFFERENT, P1, DOI DOI 10.1007/978-1-4757-4307-4

[4] Solutions with concentration to the Riemann problem for the one-dimensional chaplygin gas equations [J].

Brenier, Y .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2005, 7 (Suppl 3) :S326-S331

[5] PAINLEVE EXPANSIONS FOR NONINTEGRABLE EVOLUTION-EQUATIONS [J].

CARIELLO, F ;

TABOR, M .

PHYSICA D, 1989, 39 (01) :77-94

[6]

Galaktionov VA., 2007, Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

[7] Symmetry analysis of the time fractional Gaudrey-Dodd-Gibbon equation [J].

Gao, Ben ;

Zhang, Yao .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 525 :1058-1062

[8] Symmetries and conservation laws of the Yao-Zeng two-component short-pulse equation [J].

Gao, Ben ;

Zhang, Yao .

BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)

[9] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[10] Gauge-invariant analysis of perturbations in Chaplygin gas unified models of dark matter and dark energy [J].

Gorini, V. ;

Kamenshchik, A. Y. ;

Moschella, U. ;

Piattella, O. F. ;

Starobinsky, A. A. .

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2008, (02)

← 1 2 3 →