| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, IMECC, Sergio Buarque Holanda 651, BR-13083859 Campinas, SP - Brazil
[2] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, Rua Santa Adelia 166, BR-09 :2101 Santo Andre, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; n. SI, p. 981-989, 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we study a new third order evolution equation discovered a couple of years ago using a genetic programming. We show that the Lie symmetries of this equation corresponds to space and time translations, as well as a dilation on the space of independent variables and another one with respect to the depend variable. From its symmetries, explicit solutions of the equation are obtained, some of them expressed in terms of the solutions of the Airy equation and Abel equation of the second kind. Additionally, by using the direct method we establish three conservation laws for the equation, one of them new. (AU) | |
| FAPESP's process: | 12/22725-4 - Invariance properties and conserved quantities: Noether's theorem and Ibragimov's theorem |
| Grantee: | Priscila Leal da Silva |
| Support Opportunities: | Scholarships in Brazil - Master |
| FAPESP's process: | 14/05024-8 - Symmetries and conservation laws for differential equations arising from physical and biological systems |
| Grantee: | Igor Leite Freire |
| Support Opportunities: | Regular Research Grants |