New exact solutions of the classical sine-Gordon equation in 2 + 1 and 3 + 1 dimensions
Journal Article
·
· Phys. Rev. Lett.; (United States)
The method of Baecklund transformations is employed to derive in 2 + 1 and 3 + 1 dimensions exact solutions of the sine-Gordon equation (del/sup 2/ - c/sup -2/(partial/sup 2//partialt/sup 2/))chi = sinchi. A formula is developed in 3 + 1 dimensions which permits us to generate without additional quadratures an infinite class of new time-dependent solutions.
- Research Organization:
- Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138
- OSTI ID:
- 6678883
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 41:7; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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