Ignat V. Fialkovsky, Maria V. Perel, Alexander B. Plachenov
Published 2014-03-26Version 1
Highly localized explicit solutions to multidimensional wave and Klein--Gordon--Fock equations are presented. Their Fourier transform is also found explicitly. Solutions depend on a set of parameters, and demonstrate astigmatic properties. Asymptotic analysis for large and moderate time shows that constructed solutions have Gaussian localisation near a point moving with the group speed.
Comments: 27 pages, 3 pictures
Related articles:
Algebras of integrals of motion for the Hamilton-Jacobi and Klein-Gordon-Fock equations in spacetime with a four-parameter groups of motions in the presence of an external electromagnetic field
Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions
![QR code for arXiv:1403.6778 [math-ph]](http://oss.arxitics.com/images/favicon.svg)