Approximate nonlinear self-adjointness and its application to perturbed PDEs

Details Approximate nonlinear self-adjointness and its application to perturbed PDEs Approximate nonlinear self-adjointness and its application to perturbed PDEs

2011-10-31

arxiv.org/abs/1110.6694v1

Physics

Mathematical Physics

13 pages, 2 tables

Scientific paper

In this paper, approximate nonlinear self-adjointness and its properties for
perturbed PDEs are further studied. Approximate conservation laws are
constructed by means of the method which cannot be obtained by classical
Noether theorem. The method is applied to a class of perturbed nonlinear wave
equations to illustrate the effectiveness.

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