|
|
|
References
|
|
|
1. |
L. Khermander, Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, v. I, Mir, M., 1986 |
2. |
A. S. Blagoveschenskii, A. P. Kiselev, “Dvumernye volny Beitmena-Khermandera s singulyarnostyu v beguschei tochke”, Matem. zametki, 106 (2019), 793–796 |
3. |
H. Bateman, “The conformal transformations of space of four dimensions and their applications to geometrical optics”, Proc. London Math. Soc., 7 (1909), 70–89 |
4. |
A. P. Kiselev, M. V. Perel, “Otnositelno neiskazhayuschiesya resheniya mmernogo volnovogo uravneniya”, Differentsialnye uravneniya, 38 (2002), 1128–1129 |
5. |
A. P. Kiselev, M. V. Plachenov, “Tochnye resheniya $m$-mernogo volnovogo uravneniya iz paraksialnykh. Dalneishee obobschenie resheniya Beitmena”, Zap. nauchn. semin. POMI, 393, 2011, 167–177 |
6. |
R. W. Ziolkowski, “Localized transmission of electromagnetic energy”, Phys. Rev. A, 39 (1989), 2005–2011 |
7. |
S. Feng, H. G. Winful, R. W. Hellwarth, “Spatiotemporal evolution of focused single-cycle electromagnetic pulses”, Phys. Rev. E, 59 (1999), 4630–4649 |
8. |
A. S. Blagoveschenskii, A. P. Kiselev, A. M. Tagirdzhanov, “Prostye resheniya volnovogo uravneniya s singulyarnostyu v beguschei tochke, osnovannye na kompleksifitsirovannom reshenii Beitmena”, Zap. nauchn. semin. POMI, 438, 2015, 73–82 |
9. |
A. P. Kiselev, M. P. Perel, “Highly localized solutions of the wave equation”, J. Math. Phys., 41 (2000), 1934–1955 |