Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 123-129 |
| Number of pages | 7 |
| Journal | Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science |
| Volume | 15 |
| Issue number | 2 |
| State | Published - 2014 |
Keywords
- Conservation laws
- Integrability
- Lie symmetry
- Solitons
ASJC Scopus subject areas
- General Computer Science
- General Mathematics
- General Engineering
- General Physics and Astronomy
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