复值Klein-Gordon方程若干形式的对称性、拉格朗日量与守恒向量
数学物理
2016-02-08 v2 math.MP
摘要
我们从可积性角度，通过实施连续群的李理论来分析复值Klein-Gordon方程，该方程受幂律非线性支配。我们用实因变量写出方程，并考察二维与三维模型。对于二维模型，通过构造拉格朗日量，进一步确定了Noether点对称与守恒向量，从而扩展了分析。
引用
@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}
}
备注
This article has been withdrawn because the coauthors did not agree with the first submission