Nonlinear Self-Adjointness and Conservation Laws for the Hyperbolic Geometric Flow Equation |
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| Authors: | Kênio A. A. Silva |
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| Affiliation: | 1. Instituto de Matemática, Estatística e, Computa??o Científica , Universidade Estadual de Campinas Rua Sérgio Buarque de Holanda , 651, 13083-859 - Campinas - SP , Brasil kaasilva@ime.unicamp.br |
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| Abstract: | We study the nonlinear self-adjointness of a class of quasilinear 2D second order evolution equations by applying the method of Ibragimov. Which enables one to establish the conservation laws for any differential equation. We first obtain conditions determining the self-adjointness for a sub-class in the general case. Then, we establish the conservation laws for hyperbolic geometric flow equation on Riemman surfaces. |
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| Keywords: | Nonlinear self-adjointness conservation laws hyperbolic geometric flow equation |
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