| Full text | |
| Author(s): |
Freire, Igor Leite
;
Santos Sampaio, Julio Cesar
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 19, n. 2, p. 11-pg., 2014-02-01. |
| Abstract | |
In this paper we consider a class of evolution equations up to fifth-order containing many arbitrary smooth functions from the point of view of nonlinear self-adjointness. The studied class includes many important equations modeling different phenomena. In particular, some of the considered equations were studied previously by other researchers from the point of view of quasi self-adjointness or strictly self-adjointness. Therefore we find new local conservation laws for these equations invoking the obtained results on nonlinearly self-adjointness and the conservation theorem proposed by Nail Ibragimov. (c) 2013 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 11/23538-0 - Ibragimov's theorem and conservation laws for equations without Lagrangians. |
| Grantee: | Júlio Cesar Santos Sampaio |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 11/19089-6 - Lie point symmetries and conservation laws for the Lane-Emden system |
| Grantee: | Igor Leite Freire |
| Support Opportunities: | Regular Research Grants |