| Full text | |
| Author(s): |
Freire, Igor Leite
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, BR-09210170 Santo Andre, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 18, n. 3, p. 493-499, MAR 2013. |
| Web of Science Citations: | 22 |
| Abstract | |
In a recent communication Ibragimov introduced the concept of nonlinearly self-adjoint differential equation {[}Ibragimov NH. Nonlinear self-adjointness and conservation laws. J Phys A Math Theor 2011; 44: 432002 (8pp.)]. In this paper a nonlinear self-adjoint classification of a general class of fifth-order evolution equation with time dependent coefficients is presented. As a result five subclasses of nonlinearly self-adjoint equations of fifth-order and four subclasses of nonlinearly self-adjoint equations of third-order are obtained. From the Ibragimov's theorem on conservation laws {[}Ibragimov NH. A new conservation theorem. J Math Anal Appl 2007; 333: 311-28] conservation laws for some of these equations are established. (C) 2012 Elsevier B.V. All rights reserved. (AU) | |
| 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 |