Symmetries, Lagrangians and conserved vectors for forms of the complex-valued Klein-Gordon Equation
Mathematical Physics
2016-02-08 v2 math.MP
Abstract
We analyse the complex-valued Klein-Gordon Equation from an integrability perspective by the implementation of the Lie Theory of Continuous Groups, where this equation is governed by power-law nonlinearity. We write the equations in terms of real dependent variables and examine both the two-dimensional and three-dimensional models. In the case of the two-dimensional model the analysis is extended by the determination of Noether point symmetries and conserved vectors via the construction of a Lagrangian.
Keywords
Cite
@article{arxiv.1601.07991,
title = {Symmetries, Lagrangians and conserved vectors for forms of the complex-valued Klein-Gordon Equation},
author = {RM Morris and A Paliathanasis and PGL Leach},
journal= {arXiv preprint arXiv:1601.07991},
year = {2016}
}
Comments
This article has been withdrawn because the coauthors did not agree with the first submission