1301.4534 (Zhiyong Zhang)

Discriminant of approximate nonlinear self-adjointenss and its
applications    [PDF]

Zhiyong Zhang

In this paper, we show that approximate nonlinear self-adjointness of perturbed PDEs is equivalent to nonlinear self-adjointness of the corresponding unperturbed PDEs, which provides a shortcut to discriminate approximate nonlinear self-adjointness. Moreover, a succinct approximate conservation law formula by virtue of the known conservation law of the unperturbed PDEs is given in a explicit form. We consider several examples to illustrate the results and to show that approximate nonlinear self-adjointness can generate new approximate conservation laws.

View original: http://arxiv.org/abs/1301.4534