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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nonlinear self-adjointness of a class of third order nonlinear dispersive equations

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Author(s):
Tracina, Rita [1] ; Leite Freire, Igor [2] ; Torrisi, Mariano [2, 1]
Total Authors: 3
Affiliation:
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania - Italy
[2] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 32, p. 225-233, MAR 2016.
Web of Science Citations: 9
Abstract

In this paper we carry out a nonlinear self-adjoint classification with differential substitutions of a class of dispersive equations with three arbitrary functions. As a particular case, we obtain the sub families of the C-1 (m, a + b) equations which are nonlinearly self-adjoint. Conservation laws for these last families are established using the techniques for finding conserved vectors proposed by Ibragimov. (C) 2015 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
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