Artículos de revistas
Nonlinear self-adjointness of a 2D generalized second order evolution equation
Registro en:
Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 75, n. 13, n. 5069, n. 5078, 2012.
0362-546X
WOS:000305144900031
10.1016/j.na.2012.04.023
Autor
Bozhkov, Y
Silva, KAA
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) We study the nonlinear self-adjointness of a general class of quasilinear 2D second order evolution equations which do not possess variational structure. For this purpose, we use the method of Ibragimov, devised and developed recently. This approach enables one to establish the conservation laws for any differential equation. We first obtain conditions determining the self-adjoint sub-class in the general case. Then, we establish the conservation laws for important particular cases: the Ricci Flow equation, the modified Ricci Flow equation and the nonlinear heat equation. (C) 2012 Elsevier Ltd. All rights reserved. 75 13 5069 5078 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)