| contributor author | Gün Polat, Gülden | |
| contributor author | Özer, Teoman | |
| date accessioned | 2017-11-25T07:20:22Z | |
| date available | 2017-11-25T07:20:22Z | |
| date copyright | 2017/19/1 | |
| date issued | 2017 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_012_04_041001.pdf | |
| identifier uri | http://138.201.223.254:8080/yetl1/handle/yetl/4236404 | |
| description abstract | This study deals with the determination of Lagrangians, first integrals, and integrating factors of the modified Emden equation by using Jacobi and Prelle–Singer methods based on the Lie symmetries and λ-symmetries. It is shown that the Jacobi method enables us to obtain Jacobi last multipliers by means of the Lie symmetries of the equation. Additionally, via the Lie symmetries of modified Emden equation, we analyze some mathematical connections between λ-symmetries and Prelle–Singer method. New and nontrivial Lagrangian forms, conservation laws, and exact solutions of the equation are presented and discussed. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation | |
| type | Journal Paper | |
| journal volume | 12 | |
| journal issue | 4 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4035408 | |
| journal fristpage | 41001 | |
| journal lastpage | 041001-15 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 004 | |
| contenttype | Fulltext | |