Nonlinear Self-Adjointness and Conservation Laws for the Hyperbolic Geometric Flow Equation

被引：2
作者：
Silva, Kenio A. A. [1 ]
机构：
[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP, Brazil
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2013年 / 20卷 / 01期
关键词：
Nonlinear self-adjointness; conservation laws; hyperbolic geometric flow equation;
D O I：
10.1080/14029251.2013.792467
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：28 / 43
页数：16
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