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arXiv · 1601.07991

Symmetries, Lagrangians and conserved vectors for forms of the complex-valued Klein-Gordon Equation

RM Morris·A Paliathanasis·PGL Leach
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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.

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RM Morris, A Paliathanasis, PGL Leach. 2016-02-05. Symmetries, Lagrangians and conserved vectors for forms of the complex-valued Klein-Gordon Equation. https://arxiv.org/abs/1601.07991

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