Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/9609357 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849691152546004992 |
|---|---|
| author | Ben Gao Yanxia Wang |
| author_facet | Ben Gao Yanxia Wang |
| author_sort | Ben Gao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e2b25754439f43cfaf0832ceed357265 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e2b25754439f43cfaf0832ceed3572652025-08-20T03:21:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/96093579609357Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas EquationBen Gao0Yanxia Wang1College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaIn 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.http://dx.doi.org/10.1155/2019/9609357 |
| spellingShingle | Ben Gao Yanxia Wang Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation Discrete Dynamics in Nature and Society |
| title | Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation |
| title_full | Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation |
| title_fullStr | Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation |
| title_full_unstemmed | Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation |
| title_short | Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation |
| title_sort | invariant solutions and nonlinear self adjointness of the two component chaplygin gas equation |
| url | http://dx.doi.org/10.1155/2019/9609357 |
| work_keys_str_mv | AT bengao invariantsolutionsandnonlinearselfadjointnessofthetwocomponentchaplygingasequation AT yanxiawang invariantsolutionsandnonlinearselfadjointnessofthetwocomponentchaplygingasequation |