Approximate nonlinear self-adjointness and approximate conservation laws
Mathematical Physics
2013-04-04 v2 math.MP
Abstract
In this paper, approximate nonlinear self-adjointness for perturbed PDEs is introduced and its properties are studied. Consequently, approximate conservation laws which cannot be obtained by the approximate Noether theorem are constructed by means of the method. As an application, a class of perturbed nonlinear wave equations is considered to illustrate the effectiveness.
Cite
@article{arxiv.1110.6694,
title = {Approximate nonlinear self-adjointness and approximate conservation laws},
author = {Zhi-Yong Zhang},
journal= {arXiv preprint arXiv:1110.6694},
year = {2013}
}
Comments
13 pages, 2 tables