CONSERVATION LAWS OF COUPLED KLEIN-GORDON EQUATIONS WITH CUBIC AND POWER LAW NONLINEARITIES

CONSERVATION LAWS OF COUPLED KLEIN-GORDON EQUATIONS WITH CUBIC AND POWER LAW NONLINEARITIES
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发表时间：
2014
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通讯作者：
A. Biswas;A. Kara;A. Bokhari;F. Zaman;S. Arabia
A. Biswas;A. Kara;A. Bokhari;F. Zaman;S. Arabia
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其他
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作者：
A. Biswas;A. Kara;A. Bokhari;F. Zaman;S. Arabia

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本文确定了量子场论中耦合Klein-Gordon方程的守恒律。需要考虑两种类型的非线性，即三次定律和幂次定律。李对称性分析与乘子方法将被采用的数学工具，以提取守恒密度。守恒律最终将由相应的1-孤子解的守恒密度确定。
This paper determines the conservation laws of the coupled Klein-Gordon equations that arise in the quantum field theory. There are two types of nonlinearity that will be considered, namely the cubic law and the power law. The Lie symmetry analysis with multiplier approach will be the mathematical tool that will be adopted to extract the conserved densities. The conservation laws will be finally determined from these conserved densities from the corresponding 1-soliton solution.