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arXiv · 1606.08272

Application of the three-dimensional telegraph equation to cosmic-ray transport

R. C. Tautz·I. Lerche
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Abstract

An analytical solution to the the three-dimensional telegraph equation is presented. This equation has recently received some attention but so far the treatment has been one-dimensional. By using the structural similarity to the Klein-Gordon equation, the telegraph equation can be solved in closed form. Illustrative examples are used to discuss the qualitative differences to the diffusion solution. The comparison with a numerical test-particle simulation reveals that some features of an intensity profile can be better explained using the telegraph approach.

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R. C. Tautz, I. Lerche. 2016-06-27. Application of the three-dimensional telegraph equation to cosmic-ray transport. https://doi.org/10.1088/1674-4527/16/10/162

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