Nonlinear self-adjointness in constructing conservation laws
Mathematical Physics
2011-09-09 v1 math.MP
Abstract
The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self-adjointness as a particular case. Moreover, it embraces the previous notions of self-adjoint and quasi self-adjoint nonlinear equations. The class of nonlinearly self-adjoint equations includes, in particular, all linear equations. Conservation laws associated with symmetries can be constructed for all nonlinearly self-adjoint differential equations and systems. The number of equations in systems can be different from the number of dependent variables.
Cite
@article{arxiv.1109.1728,
title = {Nonlinear self-adjointness in constructing conservation laws},
author = {Nail H. Ibragimov},
journal= {arXiv preprint arXiv:1109.1728},
year = {2011}
}