Journal of Nonlinear Mathematical Physics

Volume 20, Issue 1, April 2013, Pages 28 - 43

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

Authors
Kênio A. A. Silva
Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Rua Sérgio Buarque de Holanda, 651 13083-859 - Campinas - SP, Brasil, kaasilva@ime.unicamp.br
Received 2 September 2012, Accepted 12 October 2012, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2013.792467How to use a DOI?
Keywords
Nonlinear self-adjointness, conservation laws, hyperbolic geometric flow equation
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.

Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - 1
Pages
28 - 43
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2013.792467How to use a DOI?
Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Kênio A. A. Silva
PY  - 2021
DA  - 2021/01
TI  - Nonlinear Self-Adjointness and Conservation Laws for the Hyperbolic Geometric Flow Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 28
EP  - 43
VL  - 20
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.792467
DO  - https://doi.org/10.1080/14029251.2013.792467
ID  - Silva2021
ER  -