Geodesic
Gaussian wave packet based on the ``complex source''
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 44, Tome 426 (2014), pp. 189-202

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The paper concerns a simple solution of the linear wave equation with 3 spacial variables which describes a wave packet exponentially localized near a point moving with the light speed. The construction is based on the “complex source”. 
@article{ZNSL_2014_426_a11,
     author = {A. M. Tagirdzhanov and A. P. Kiselev},
     title = {Gaussian wave packet based on the ``complex source''},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {189--202},
     publisher = {mathdoc},
     volume = {426},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_426_a11/}
}
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A. M. Tagirdzhanov; A. P. Kiselev. Gaussian wave packet based on the ``complex source''. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 44, Tome 426 (2014), pp. 189-202. http://geodesic.mathdoc.fr/item/ZNSL_2014_426_a11/