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

Autor(es)

Tracina, Rita ^[1] ; Leite Freire, Igor ^[2] ; Torrisi, Mariano ^{[2, 1]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 32, p. 225-233, MAR 2016.
• Citações Web of Science: 9

Resumo

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)

• Processo FAPESP: 11/19089-6 - Simetrias de Lie e leis de conservação do sistema de Lane-Emden
• Beneficiário: Igor Leite Freire
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/05024-8 - Simetrias e leis de conservação de equações diferenciais oriundas de sistemas físicos e biológicos
• Beneficiário: Igor Leite Freire
• Modalidade de apoio: Auxílio à Pesquisa - Regular