Nonlinear self-adjointness in constructing conservation laws
By Nail H. Ibragimov. 2011
138 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3a3f3db60e335077141c266e71bf13f6a40c5669
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations (2014, background): “It can be proved that in the limiting case of integer α these operators coincide with the known integer-order Noether operators presented in [26] (see also [22, 24, 27]).”