Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• ISSN: 1815-0659
• Main Authors: Fritzsche, B., Kirstein, B., Roitberg, I.Y., Sakhnovich, A.L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146994
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables / B. Fritzsche, B. Kirstein, I.Y. Roitberg, A.L. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 53 назв. — англ.

Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three variables.